From cube-lovers-errors@curry.epilogue.com  Tue Dec 17 21:57:04 1996
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Date: Tue, 17 Dec 1996 20:39:33 -0500
To: David Singmaster Computing & Maths South Bank Univ <david.singmaster@sbu.ac.uk>,
        cube-lovers@ai.mit.edu
From: Nichael Cramer <nichael@sover.net>
Subject: Re: Cube stickers

David Singmaster Computing & Maths South Bank Univ wrote:
>This was not a real problem with older cubes, except for the orange stickers
>of the 5x5x5.

Right.  I have 3 5Xs and they're _all_ losing their orange stickers.  (And
only their orange stickers, which I've had trouble with since they were
new.)

What is it with these things??


Nichael Cramer             "...and they opened their thesaurus
nichael@sover.net                  and brought forth gold and frankincense
http://www.sover.net/~nichael          and myrrh."




From cube-lovers-errors@curry.epilogue.com  Wed Dec 18 13:19:59 1996
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From: ba05133@binghamton.edu
Date: Wed, 18 Dec 1996 11:41:04 -0500 (EST)
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To: cube-lovers@ai.mit.edu
Subject: Is there a 15q move for this???
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Is there a 15 quarter move algorithm for this position:

L2 F' L D2 R' B R D2 L B L F L' B'   ?

Maybe, Kociemba's algorithm will help.

Thanks a lot in advance!!

Jiri Fridrich



From cube-lovers-errors@curry.epilogue.com  Wed Dec 18 14:40:42 1996
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From: David Barr <davidb@u.washington.edu>
To: cube-lovers@ai.mit.edu
Subject: Quickcam
Message-ID: <Pine.A41.3.95b.961218113401.16826I-100000@homer26.u.washington.edu>
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I have a Color Quickcam camera attached to my PC, and I was wondering
how difficult it would be to write a program that would take two
pictures of a cube (to cover all six sides) and determine the cube
position from the images.  The positions could then be fed into
another program (maybe one of the WWW cube solvers) for further
processing.

Is there any source code out there that does image recognition of cube
positions?



From cube-lovers-errors@curry.epilogue.com  Thu Dec 19 03:26:06 1996
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Date: Thu, 19 Dec 1996 03:24:12 -0500 (EST)
From: Nicholas Bodley <nbodley@tiac.net>
To: Nichael Cramer <nichael@sover.net>
cc: David Singmaster Computing & Maths South Bank Univ <david.singmaster@sbu.ac.uk>,
        cube-lovers@ai.mit.edu
Subject: Re: Cube stickers
In-Reply-To: <v03007801aedcfb5855f8@[204.71.18.82]>
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 I've had the same luck, but I thought it was lubricant that had migrated;
I'm reasonably sure I tried lubricating my "5". Lubricant could turn
adhesive into a gel, I think. 

 Why the orange ones only? I think the reason is that they are a different
pigment (mine's fluorescent, pretty sure!) on a different backing, perhaps
plastic, while the others might be a high-quality paper; the plastic might
require a different kind of adhesive.  (Then, again, maybe when the maker
shopped around for sheets of colored adhesive sheet stock, what was
available at a a good price might not have included orange...) 

 It's just possible that the molding compound included a few percent
lubricant, and that interacted with the adhesive to create a gel. Consider
what happens to the adhesive on masking tape when you apply it to
plasticized PVC (vinyl) and leave it there for a few weeks or longer. The
plasticizer (which, I understand, is a actually low-vapor-pressure
solvent)  migrates into the adhesive. Migration of plasticizer is a
problem with plasticized PVC. (Any flexible vinyl is plasticized; rigid
vinyl is quite stiff!))


|*  Nicholas Bodley   *|*  Electronic Technician {*} Autodidact & Polymath
|*   Waltham, Mass.   *|*  -----------------------------------------------
|*  nbodley@tiac.net  *|*    When the year 2000 begins, we'll celebrate 
|*  Amateur musician  *|*    the 2000th anniversary of the year 1 B.C.E.
--------------------------------------------------------------------------



From cube-lovers-errors@curry.epilogue.com  Fri Dec 20 16:50:33 1996
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To: cube-lovers@ai.mit.edu
From: Danny Chamberlin <critter@worldreach.net>
Subject: Re: Cube stickers
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At 02:18 PM 12/17/96 BST, you wrote:
>	It's distressing to hear that the current cube stickers come off.
>This was not a real problem with older cubes, except for the orange stickers
>of the 5x5x5.  I found that one can buy plastic sheets from artist's
>supply shops.  These have sticky backs, on a plastic backing, like peel-off
>labels.  I found one could get quite a selection of colors and they adhered
>quite well.
>	Regards
>DAVID SINGMASTER,  Professor of Mathematics and Metagrobologist

I don't know if that's the case...I still have two original Ideal cubes
(non-Deluxe) and on both of them, shortly after I got them some of the blue
stickers started coming off, so I took the rest off, cleaned the faces off,
and just had 1 blank face on each cube!


From cube-lovers-errors@curry.epilogue.com  Mon Dec 23 17:50:23 1996
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Date: Mon, 23 Dec 1996 15:47:03 -0800
From: Aaron Coles <acoles@fec.gov>
Subject: Rubik's Tangle
To: cube-lovers@ai.mit.edu
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Does anyone know if the solution located at the below address is valid??

	http://www.math.uni-kiel.de/roesler/bruhn/tlsg.htm

[ The moderator has taken the liberty of correcting a small typo here.
  The original submitted message had an underscore ("_") in the URL which 
  I have corrected to be a hyphen ("-").  - Alan ]

From cube-lovers-errors@curry.epilogue.com  Tue Dec 24 15:05:09 1996
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Date: Tue, 24 Dec 1996 12:56:26 -0200 (GMT-0200)
From: Rodrigo de Almeida Siqueira <delirium@ime.usp.br>
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To: cube-lovers@ai.mit.edu
Subject: Java Rubik's Cube!
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Wow!!!

I've just found and played with a Java version of the Rubik's Cube.
It's great and colorful. You can play and rotate the Cube.

It's available here:

	http://www.zaz.com.br/vestibular/1/Demos/j3.html

have fun.

----------------------------------------
Rodrigo Siqueira
Personal homepage:
http://www.insite.com.br/bio/rodrigo/
----------------------------------------



From cube-lovers-errors@curry.epilogue.com  Tue Dec 24 15:52:02 1996
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Date: Tue, 24 Dec 1996 15:49:47 -0500 (EST)
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From: Allan Wechsler <awechsle@bbn.com>
To: Rodrigo de Almeida Siqueira <delirium@ime.usp.br>
Cc: cube-lovers@ai.mit.edu
Subject: Java Rubik's Cube!
In-Reply-To: <Pine.SUN.3.91.961224124630.9382A-100000@catatau>
References: <Pine.SUN.3.91.961224124630.9382A-100000@catatau>

For those having trouble with
    	http://www.zaz.com.br/vestibular/1/Demos/j3.html
my Portuguese is unreliable, but here is a first cut at a translation:

Magic Cube

The famous magic cube is here in 3D for [desafia]ing.  You can turn
the cube freely (by) dragging with the mouse.  To turn the faces, drag
with the mouse _on the vertices_.  To play: click the [seta] of the
mouse over the cube and type m to mess up all the faces.  With the
[seta] of the mouse over the cube, type i to reinitialize.

(Or you may see:

Your Netscape isn't understanding Java applets!  [Atualize] for a more
recent version.)

Game created by Marcelo Ribeiro.

[I have to confess that I don't understand the heuristic by which it
decides which face to turn.  I actually tried to solve the thing and
it gave me the screaming meemies.]

-A
    
    
    


From cube-lovers-errors@curry.epilogue.com  Thu Dec 26 17:07:53 1996
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From: "joyner.david" <joyner.david@mathnt1.sma.usna.navy.mil>
To: "'acoles@fec.gov'" <acoles@fec.gov>
Cc: "'cube-lovers@ai.mit.edu'" <cube-lovers@ai.mit.edu>
Subject: RE: Rubik's Tangle
Date: Thu, 26 Dec 1996 11:56:11 -0500
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Aaron Coles:
 The Rubik's tangle I bought is 3x3 and in that puzzle there 
are no tiles with a straight yellow. The version of the Rubik's 
tangle which that page you gave describes is not, as far as I 
know, marketed in stores.
 Here is my solution to the store version I bought:
Notation: green=color 1, purple = color 2, red = color 3, 
yellow = color 4. Each tile will be denoted by a 4-tuple
(a,b,c,d), where 
a is the color number of the straight rope,
b is the color number of the quarter circle rope,
c is the color number of the twisted rope (the one going from
 one side to the opposite which is not straight),
d is the color number of the looped rope (the one going from
 one side to an adjacent side which is not in the shape
 of a quarter circle). 
The "orientation" of a tile will be
0 if the straight side is lined up vertically on the left,
1 if it is rotated 90 degrees clockwise from the 
 orientation 0 position,
2 if it is rotated 180 degrees clockwise from the 
 orientation 0 position (the straight side is lined up vertically 
 on the right),
3 if it is rotated 270 degrees clockwise from the 
 orientation 0 position.
I labeled the (2-sided) tiles arbitrarily 1-9, with f for front 
and b for back. They are as follows:

tile 1
f (1,3,4,2), b (1,4,2,3)
tile 2
f (1,4,2,4), b (1,4,3,2)
tile 3 
f (1,2,4,3), b (1,2,3,4)
tile 4 
f (3,1,2,4), b (3,2,4,1)
tile 5
f (3,4,2,1), b (3,4,1,2)
tile 6 
f (3,2,1,4), b (3,1,4,2)
tile 7
f (2,4,3,1), b (2,1,3,4)
tile 8
f (2,1,4,3), b (2,3,1,4)
tile 9 
f (2,3,4,1), b (2,4,1,3)

Mathematics of puzzles:
 In general, let X be a collection of n interlocking puzzle pieces.
Assume that there is a solution to the puzzle for X
which uses every element of X.
Call G a "subpuzzle graph on X" if there is a subpuzzle 
of interlocking pieces constructed from a subset Y of X
such that G is a graph with vertices labeled by the subset Y
of X and two vertices are connected by an edge if and only 
if the corresponding pieces fit or interlock in this subpuzzle.
A "solution" to the puzzle will be a connected subpuzzle 
graph on X having n vertices associated to a solution. 
 For almost every jigsaw puzzle I've seen and for the Rubik's 
tangle puzzle, a solution to a puzzle is a Hamiltonian graph. 

Algorithm for the Rubik's tangle: We shall construct
a subpuzzle graph on the Rubik's tangle pieces as follows:
Notation: Label the positions of the puzzle as 
9-2-3
|  |  |
8-1-4
|  |  |
7-6-5
step 1: Pick a tile (18 possible choices)  and put it in
position number 1 with orientation 0. Draw a corresponding 
vertex and label it with this tile's 4-tuple. 
inductive step: Assume that k tiles have been placed in positions
1 through k and each tile fits with its neighboring tiles, k<n.
Pick a tile which fits with tile k in position number k+1
(in some orientation). Draw a corresponding vertex, label 
it with this tile's 4-tuple and it's orientation. Draw an edge from 
tile k+1 to each neighboring tile.

Solution to Rubik's tangle:
3421,2 - 1342,2 - 3214,3
  |              |           |
1243,2 -  2431   - 3124,1
  |              |           |
2143,2 - 1324,3 - 2413,2

                                                      - David Joyner


>----------
>From: 	Aaron Coles[SMTP:acoles@fec.gov]
>Sent: 	Monday, December 23, 1996 6:47 PM
>To: 	cube-lovers@ai.mit.edu
>Subject: 	Rubik's Tangle
>
>Does anyone know if the solution located at the below address is
>valid??
>
>	http://www.math.uni-kiel.de/roesler/bruhn/tlsg.htm
>
>[ The moderator has taken the liberty of correcting a small typo here.
>  The original submitted message had an underscore ("_") in the URL
>which 
>  I have corrected to be a hyphen ("-").  - Alan ]
>


From cube-lovers-errors@curry.epilogue.com  Sat Dec 28 17:34:33 1996
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From: Jon Teague <jon@jandj.netkonect.co.uk>
To: Cube-Lovers@ai.mit.edu
Subject: Re: Rubik's Tangle
Date: Sat, 28 Dec 1996 14:57:49 -0000
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There are four Rubik's Tangles. Each of them
has 25 pieces and forms a 5x5 square. Once you've
got all four you can mix all of the pieces up and produce
a giant 10x10.

I don't know if Dr Bruhns solution on his page 
<http://www.math.uni-kiel.de/roesler/bruhn/tlsg.htm>
is correct - once I get to print it out in colour at the
office I'll see if it matches the tangle I have (# 4).

Jon Teague
<jon@jandj.netkonect.co.uk>




From cube-lovers-errors@curry.epilogue.com  Mon Dec 30 00:44:06 1996
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Date: Sun, 29 Dec 1996 14:03:06 +0100
From: Rob Hegge <R.F.Hegge@mp.tudelft.nl>
Subject: Re: Rubik's Tangle -> a new one
To: Cube-Lovers@ai.mit.edu
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> There are four Rubik's Tangles. Each of them
> has 25 pieces and forms a 5x5 square. Once you've
> got all four you can mix all of the pieces up and produce
> a giant 10x10.
I have read somewhere that this is not possible.

> I don't know if Dr Bruhns solution on his page 
> <http://www.math.uni-kiel.de/roesler/bruhn/tlsg.htm>
> is correct - once I get to print it out in colour at the
> office I'll see if it matches the tangle I have (# 4).
> 
> Jon Teague
> <jon@jandj.netkonect.co.uk>

Actually there are 5 now, a new one is on sale in the US:
It contains 9 pieces, all of them are double sided with the
ropes in 3D, i.e. the pieces are not flat as compared to the
other 4 sets.

Rob Hegge


From cube-lovers-errors@curry.epilogue.com  Mon Dec 30 17:55:33 1996
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From: Stan Isaacs <isaacs@hpcc01.corp.hp.com>
Message-Id: <199612301945.AA060415116@hpcc01.corp.hp.com>
Subject: Re: 6-cube and Hofstadter; Meffert
To: cube-lovers@ai.mit.edu
Date: Mon, 30 Dec 96 11:45:15 PST
In-Reply-To: <1.5.4.32.19961204100309.002b8e90@mentda.me.ic.ac.uk>; from "The Official Thermo-Fluids Fan Club of the UK." at Dec 04, 96 10:03 am
Mailer: Elm [revision: 70.85.2.1]

> 
> Uwe Meffret is in business, in Aberdeen, Hong Kong.
> My only question is What the F=56*7c()k (apologies to anyone with a ISO
> 8859-1)  is a aquaculturist?

Anybody have his mailing address?

 -- Stan Isaacs
 -- isaacs@corp.hp.com


From cube-lovers-errors@curry.epilogue.com  Mon Jan  6 18:56:19 1997
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Date: Tue, 07 Jan 1997 00:22:25 +0100
From: Manfred Polak <manfred.polak@metronet.de>
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To: Cube-Lovers@ai.mit.edu
Subject: Search

Help! Where can I get a 5*5*5 Rubik's Cube?
I have some problems with my news-server, so if you got some advice, 
please send me a mail!
  Greetings from Munich (Germany)


From cube-lovers-errors@curry.epilogue.com  Wed Jan  8 18:16:23 1997
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To: Cube-Lovers@ai.mit.edu
Subject: Re:Search

No more mails, please; I've already ordered one!
Many thanks


From cube-lovers-errors@curry.epilogue.com  Thu Jan  9 00:25:55 1997
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Date: Thu, 9 Jan 1997 00:25:05 -0500
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To: Cube-Lovers@ai.mit.edu
From: David Lee Winston Miller <millerd1@sunyit.edu>
Subject: Cube page

Hi,

Just thought you might want to know about my Rubik's Cube page(s).  You can
find it at:

    http://www.sunyit.edu/~millerd1/RUBIK.HTM

It is mainly a demo on solution searching and algorithms.

Thanks,

David Lee Winston Miller

David Lee Winston Miller   Mail: millerd1@sunyit.edu   Homepage:
http://www.sunyit.edu/~millerd1



From cube-lovers-errors@curry.epilogue.com  Tue Jan 28 12:26:26 1997
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To: Cube-Lovers@ai.mit.edu
From: Dennis Okon <dokon@mit.edu>
Subject: Broken Cube

I've got a problem.  My cube (3x3x3) is quite old and very used.
Unfortunately, I was using it the other day and the whole thing fell apart
in my hands - the center cross piece that holds the whole thing together
split in two.  I'm afraid all my attempts with gluing it back together have
failed.  Does anyone know where I can get just the center piece?

- Dennis Okon
dokon@mit.edu



From cube-lovers-errors@curry.epilogue.com  Tue Jan 28 23:59:33 1997
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Date: Wed, 29 Jan 97 08:54:57 +0900
From: Norman Diamond 29-Jan-1997 0854 <diamond@jrdv04.enet.dec-j.co.jp>
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>the center cross piece that holds the whole thing together split in two.
>Does anyone know where I can get just the center piece?

Sure!  Buy a new cube and remove the 26 visible cubies.

-- Norman Diamond            diamond@jrdv04.enet.dec-j.co.jp
[Speaking for Norman Diamond not for Digital.]


From cube-lovers-errors@curry.epilogue.com  Thu Jan 30 01:31:45 1997
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To: Cube-Lovers@AI.MIT.EDU
From: Wei-Hwa Huang <whuang@ugcs.caltech.edu>
Subject: Taiwan Cube-Solving Invitational
Date: 29 Jan 1997 20:13:35 GMT
Organization: California Institute of Technology, Pasadena
Message-ID: <5cob1f$jiq@gap.cco.caltech.edu>

This is from China World News, 12/17/1996.
The translation is mine.  I can't vouch for any facts in
the article or give any more information.
(I also find a few of the claims a bit exaggerated
and redundant, but what do you expect from the media?)

-------------------------

NEW MAGIC CUBE REVEALED; WELCOMING ALL SPEED SOLVERS
Easy Disassembly Provides a Higher Difficulty of Play;
Taiwan Hosts Invitational Competition; Throws the Gauntlet
to USA, Europe, etc.

[TAIPEI] The craze that mesmerized Taiwan is back.  This new
generation of Rubik's Cube emphasizes its ability to be 
disassembled and assembled.  Play and difficulty are enhanced.
This cube researched and developed by Taiwanese won a gold in the
International Invention Competition (?) in Los Angeles this
past September.  This new Cube is also the focus of 1997's 
International Magic Cube Solving Invitational.  The hosts, intending to
promote basic inventive education, especially welcome youths
to enter the solving competition and challenge their intelligence.

The Chief Organizer of the sponsor of next year's International Cube 
Solving Invitational, the Republic of China's Invention Group,
Chi-Shin (?) Huang [no relation] said that superb inventors always
have three traits: they're capable of prolonged concentration, 
stamina, and will.  Most importantly, that have the trait of 
action: they know what they want to do and they do it.  And this
is a trait they have in common with cube-solvers.

Huang especially emphasizes that the young people now pick up this
toy of the previous generation, since the Rubik's Cube is a
puzzle requiring hand-eye coordination, and in the process of
solving, not only does it help build spatial abilities and 
memory, but also trains the brain in pattern recognition and
organization.  And as far as creativity is concerned, cube solving
is good practice for sustained concentration and patience.

Jein-Chen Zhu (?), a professor at Taiwan University who has
written a book analyzing the mathematical principles of the
cube comments: "This new generation of the Cube is challenging
because it breaks the rules of the original Cube."  Zhu also
said that most speed solvers finish the buttom face first,
and then work towards the upper levels.  Since the new Cube can
be disassembled and the corner cubies rearranged, the new
Cube may have no valid solutions with that method.  "Therefore,
if a solver picks an incorrect starting face, it would be like
building a bridge on top of a riverbed with hidden sand streams:
almost impossible.  The solver must be able to make quick decisions
to finish the solution.

The inventor of the new Cube, Wei-Huang Chang (?) [no relation]
indicates that the breakthrough in his design is that the Cube
can now be easily disassembled, allowing players to observe with
their own eyes the three-dimensional secrets in the structure of
the versatile cube.  The original inventor of the Cube, Rubik,
was himself an expert in the field of construction and originally
invented the cube as a teaching tool.  The new Cube would not
exist without the original design.

The 1997 Competition is projected to be in September.  The 
Committee invites any players from Japan, Korea, Mainland China, Europe,
America, etc. to attend.  No age restriction.  If interested,
please phone (area code 02) 5812314.  [Country code, Taiwan ROC]

----------------------------------

Magic Cube Solved in 19 Seconds
WEN-YUNG KAO (?) IS THE FASTEST SOLVER IN TAIWAN

[TAIPEI]"Mr. Cube" Wen-Yung Kao's fastest solving time is nineteen seconds.
Compared to existing records, he is 2 seconds faster than the 
world record, 22.95 seconds.  

"A Cube solver must make decisions quickly and correctly!" says
Kao, who is a successful industrialist by day.  When he solves 
the cube, all ten of his fingers dextrously spin the cube; in
the last few seconds of his solution, he finishes the solution 
without even having to look at the cube, truly a sight to behold.

Kao notes that actually, there's a trick to solving the cube; he
has had to go through meticulous recordings and observations to
discover it.  He recalls his first encounter with the cube: a
friend of his had started up a factory set to making the cube
and had sent a few to him to play with.  He was immediately 
hooked and spent umpteen hours testing, taking notes, and 
recording the path of every little cubie.  After one month,
he could solve the cube in three minutes.  After half a year
he was even faster, solving in under one minute.  After 20
more months he had cut his time down to 25 seconds.

[TAIPEI]Sixteen years ago the cube-solving craze spread the 
globe.  Due to the complexity of the combinations, a few
turns could make it difficult to restore to its original
state, easily discouraging a would-be solver.  Taiwan inventor
Ji-ren Chang (?) researched the "Gold Key Cube", which 
can be easily disassembled and reassembled, decreasing the
feeling of discouragement.

[PHOTO] CEO of a food company, Wen-Yung Kao is Taiwan's fastest
Cube solver.

[PHOTO] Inventor Ji-Ren Chang's invention "Gold Key" can disassemble
the Cube.

--------------------------



--
Wei-Hwa Huang, whuang@ugcs.caltech.edu, http://www.ugcs.caltech.edu/~whuang/
-------------------------------------------------------------------------------
Save the earth.  Then Quit and Shut Down.


From cube-lovers-errors@curry.epilogue.com  Thu Jan 30 17:01:45 1997
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Date: Thu, 30 Jan 1997 15:02:25 -0500 (EST)
From: Dale Newfield <din5w@cs.virginia.edu>
Reply-To: DNewfield@cs.virginia.edu
To: Cube-Lovers@ai.mit.edu
Subject: 2x2x2 at Taco Bell
In-Reply-To: <5cob1f$jiq@gap.cco.caltech.edu>
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I know many of the people on this list are collectors, and are always 
looking for new and unique cubes.  I also figure there may be some people 
on this list that would like to own one, but have yet to acquire a 2x2x2 
cube.  Taco Bell has a number of toys for sale commemerating the Star 
Wars re-release.  One of these toys is a 2x2x2 cube.

FYI,
-Dale Newfield
 Dale@Newfield.org


From cube-lovers-errors@curry.epilogue.com  Thu Jan 30 23:38:19 1997
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From: Chris and Kori Pelley <ck1@flnet.com>
To: CUBE-LOVERS@ai.mit.edu
Date: Thu, 30 Jan 1997 19:04:34 -0500
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This is a multi-part message in MIME format.

[ And the moderator really wishes that people would -not- use MIME when
  mailing to Cube-Lovers.  It makes the archives considerably less useful.
				- Alan (Cube-Lovers-Request) ]

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>Taco Bell has a number of toys for sale commemerating the Star 
>Wars re-release.  One of these toys is a 2x2x2 cube.

I checked into this, but it is not a real 2x2x2 magic cube.  It is
one of those folding cube puzzles, where you can turn the
whole thing inside out and it has different graphics on each
assembled exterior.

Too bad though!  An official Star Wars 2x2x2 Rubik's Cube would
really be a find!

ck1@flnet.com
http://www.flnet.com/~ck1/cubes.html

------=_NextPart_000_01BC0EE0.6E7ED400
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Content-Transfer-Encoding: quoted-printable

<html><head></head><BODY bgcolor=3D"#C8E0D8"><p><font size=3D4 =
color=3D"#000000" face=3D"Arial">&gt;Taco Bell has a number of toys for =
sale commemerating the Star <br>&gt;Wars re-release. &nbsp;One of these =
toys is a 2x2x2 cube.<br><br>I checked into this, but it is not a real =
2x2x2 magic cube. &nbsp;It is<br>one of those folding cube puzzles, =
where you can turn the<br>whole thing inside out and it has different =
graphics on each<br>assembled exterior.<br><br>Too bad though! &nbsp;An =
official Star Wars 2x2x2 Rubik's Cube would<br>really be a =
find!<br><br>ck1@flnet.com<br>http://www.flnet.com/~ck1/cubes.html<br><fo=
nt size=3D4><br></p>
</font></font></body></html>
------=_NextPart_000_01BC0EE0.6E7ED400--



From cube-lovers-errors@curry.epilogue.com  Mon Feb  3 01:23:19 1997
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Date: Sun, 2 Feb 1997 23:39:34 -0500 (EST)
From: Nicholas Bodley <nbodley@tiac.net>
To: Dennis Okon <dokon@mit.edu>
cc: Cube-Lovers@ai.mit.edu
Subject: Re: Broken Cube
In-Reply-To: <9701281647.AA05417@MIT.MIT.EDU>
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 Realistically, IMHO, the only practical thing is to buy another. There
are several makes in existence, and they have at least minor detailed
differences in dimensions. I'd love to say something different!  If,
however, you can find someone who's an expert plastic welder (no kidding),
such a person might be able to do a repair.

 In any event, good luck!

|*  Nicholas Bodley   *|*  Electronic Technician {*} Autodidact & Polymath
|*   Waltham, Mass.   *|*  -----------------------------------------------
|*  nbodley@tiac.net  *|*    When the year 2000 begins, we'll celebrate 
|*  Amateur musician  *|*    the 2000th anniversary of the year 1 B.C.E.
--------------------------------------------------------------------------



From cube-lovers-errors@curry.epilogue.com  Mon Feb  3 17:42:34 1997
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Date: Mon, 03 Feb 1997 14:40:02 -0800
From: Jin "Time Traveler" Kim <chrono@ibm.net>
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To: Dennis Okon <dokon@mit.edu>
CC: Cube-Lovers@ai.mit.edu
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As it so happens, I have a spare 'cube' which met with unfortunate
incident a number of years ago.  Let's just say it involved a hacksaw
and a misguided attempt at.... modification.....

Anyway, if you're so inclined, I have no problems mailing you the center
piece if you really want it.. But like someone else said, you'd do just
as well buying a new one.  And besides, the center piece may turn out to
be just a little bit off kilter.  I think it was a knock-off.

-- 
Jin "Time Traveler" Kim
chrono@ibm.net
VGL Costa Mesa


From cube-lovers-errors@curry.epilogue.com  Wed Feb  5 15:45:07 1997
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Date: Wed, 5 Feb 1997 18:19:35 +0200 (IST)
From: Rubin Shai <rubins@cs.technion.ac.il>
To: Cube-Lovers <cube-lovers@ai.mit.edu>
Subject: Magazines about the Rubik cube
In-Reply-To: <Pine.PMDF.3.91.961114075359.20973G-100000@PSTCC6.PSTCC.CC.TN.US>
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Hi all
I'm going to write a report about a program that learn to solve the 2X2X2
Rubik cube by itself.
Does anyone know a magazine that will publish this kind of stuff?

Shai




From cube-lovers-errors@curry.epilogue.com  Thu Feb  6 14:38:30 1997
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Date: Thu, 06 Feb 1997 00:53:16 -0800
From: Jin "Time Traveler" Kim <chrono@ibm.net>
X-Mailer: Mozilla 3.01Gold (Win95; I)
MIME-Version: 1.0
To: Dennis Okon <dokon@mit.edu>
CC: cube-lovers@ai.mit.edu
Subject: Re: Broken Cube
References: <9702032332.AA09252@MIT.MIT.EDU>
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Dennis Okon wrote:
> 
> It would be wonderful if you could mail it to me.  And, actually I have two
> cubes with broken centers - one of the original type and one of the plastic
> snap in tiles, which apparently (from inspection) both have the same size
> centers.
> 

I will mail you the piece as promptly as possible.  I recently moved
into a new residence days ago, so you will have to bear with me as I
hunt for my puzzle box and hope that I didn't throw away my ravaged cube
in a fit of....confusion?

> Also, I'm interested in hearing more specifically what the modification you
> mentioned was.  The hack sent my mind in all sorts of directions.
> 
> <address omitted>

You want to hear the ugly truth?  Ugh...  Ok..  while thumbing through
Dr. Christoph Bandelow's excellent cube catalog (1992 edition, I think),
I stumbled upon an object called the "Fisher Cube," in which each
handmade cube had a unique "cut" to it.  Basically on a standard cube
the "groove" lines run parallel to the faces of the cube.  On fisher's
cube, two opposite faces had the groove lines running diagonally, which
meant that a scrambled cube looked absolutely jacked up.  I got this
brilliant idea that I could make something similar, so out came the
hacksaw....  After about an hour and a half of cutting I realized that I
had completely ruined a perfectly good cube.  And my bedroom floor (and
desk, and bed, and lamp, and clothes, etc....) was COVERED in black
plastic shavings which, despite their strangely appealing odor, had
managed to make a terrible mess.  So after giving myself disgusted looks
into a mirror (as a form of "self scolding," if you will) I packed all
the pieces away, thinking that maybe someday I would take the Time to
reassemble it or fix it somehow.  After acquiring 4 more cubes over a
period of 5 years, I have lost interest in that project.  

Soooo, that's it.  Nothing particularly drastic, but I think it might be
worth a chuckle or two to those of the mailing list, so what started as
a personal email has become my own public shame.  So I also hope you
won't have a problem with your "private email" being part of this drawn
out response.

-- 
Jin "Time Traveler" Kim
chrono@ibm.net
VGL Costa Mesa

P.S. If I find it, you want the whole mess or just the middle?


From cube-lovers-errors@curry.epilogue.com  Thu Feb  6 14:36:14 1997
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Date: Thu, 6 Feb 97 09:20:10 +0900
From: Norman Diamond 06-Feb-1997 0916 <diamond@jrdv04.enet.dec-j.co.jp>
To: cube-lovers@ai.mit.edu
Subject: Re: Magazines about the Rubik cube
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Rubin Shai wrote:

>I'm going to write a report about a program that learn to solve the 2X2X2
>Rubik cube by itself.
>Does anyone know a magazine that will publish this kind of stuff?

Shouldn't the program be smart enough to answer that question for you?  :-)

It would obviously be of interest in Cubism For Fun, the journal of the
Dutch Cube Society (which has been published in English for about the past
10 years or so).  I don't think you'd get paid for it, but the audience
would be right.

I would guess that Scientific American, Journal of Recreational Mathematics,
and Games might also be suitable, depending on possible characteristics of
the program.

-- Norman Diamond            diamond@jrdv04.enet.dec-j.co.jp
[Speaking for Norman Diamond not for Digital.]


From cube-lovers-errors@curry.epilogue.com  Sun Feb  9 17:45:35 1997
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Date: Sun, 9 Feb 1997 16:54:42 -0500 (EST)
From: Dale Newfield <din5w@cs.virginia.edu>
Reply-To: DNewfield@cs.virginia.edu
To: cube-lovers@ai.mit.edu
Subject: Re: Broken Cube
In-Reply-To: <32F99BFC.7299@ibm.net>
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On Thu, 6 Feb 1997, Jin Time Traveler Kim wrote:
> I got this brilliant idea that I could make something similar, so out 
> came the hacksaw....  After about an hour and a half of cutting I 
> realized that I had completely ruined a perfectly good cube.

I finally got around to building a bandaged pair of cubes 
 XXX
 XXX
 XXXXX
   XXX
   XXX

and a bandaged 5-cube

 XXX XXX
 XXX XXX
 XXXXXXX
   XXX
 XXXXXXX
 XXX XXX
 XXX XXX

I agree--the process was very painful and very full of black shavings, 
but now that I am done, I am very pleased with the final result. :-)

The impetus for this fit of cube-construction came from the book "The 
book of ingenious & diabolical puzzles" by Jerry Slocum and Jack Botermans.

Also resulting from the same fit are a round cube with what look like two 
2x2x2's sticking out of it, and a regular cube in which two opposite 
corners and all the adjacent pieces are round.

All of these came after taking a good look at pages 124 and 125 of this 
book--a page full of a very interesting collection of sequential movement 
puzzles.  Thie is a really neat book that will make any collector drool, 
so keep your eyes out for it :-)

-Dale


From cube-lovers-errors@curry.epilogue.com  Mon Feb 10 15:31:13 1997
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To: Cube-Lovers@AI.MIT.EDU
From: Wei-Hwa Huang <whuang@ugcs.caltech.edu>
Subject: Re: Broken Cube
Date: 10 Feb 1997 01:18:36 GMT
Organization: California Institute of Technology, Pasadena
Message-ID: <5dlt1c$baq@gap.cco.caltech.edu>
References: <cube-lovers.Pine.SUN.3.90.970206150433.26015M-100000@dot.cs.Virginia.EDU>
X-Newsreader: NN version 6.5.0 #2 (NOV)

Dale Newfield <din5w@cs.virginia.edu> writes:
>The impetus for this fit of cube-construction came from the book "The 
>book of ingenious & diabolical puzzles" by Jerry Slocum and Jack Botermans.

>All of these came after taking a good look at pages 124 and 125 of this 
>book--a page full of a very interesting collection of sequential movement 
>puzzles.  Thie is a really neat book that will make any collector drool, 
>so keep your eyes out for it :-)

I believe Jerry is still selling copies of his books.  
Write to him at

257 S. Palm Dr.,
Beverly Hills, CA 90212

(310)273-2270 FAX (310)274-3644
70410.1050@compuserve.com

and ask him to send you a flier of books and prices (nicely).

--
Wei-Hwa Huang, whuang@ugcs.caltech.edu, http://www.ugcs.caltech.edu/~whuang/
-------------------------------------------------------------------------------
Save the earth.  Then Quit and Shut Down.


From cube-lovers-errors@curry.epilogue.com  Tue Feb 18 20:39:25 1997
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From: Stan Isaacs <isaacs@hpcc01.corp.hp.com>
Message-Id: <199702190137.AA255196278@hpcc01.corp.hp.com>
Subject: Super-skewb
To: cube-lovers@ai.mit.edu
Date: Tue, 18 Feb 1997 17:37:57 PST
X-Mailer: Elm [revision: 109.19]

Anybody have any good moves for super-skewb centers?  That is, ones
that either twist centers in place, or move them without twisting.
Tony Fisher, in England, makes some wonderful puzzles based on the
Skewb, but in shapes such as an Icosahedron, or Dodecahedron, or
Rhombic Dodecahedron.  These are all actually Super-Skewbs.

 -- Stan Isaacs


From cube-lovers-errors@curry.epilogue.com  Thu Feb 20 01:42:04 1997
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Date: Wed, 19 Feb 1997 20:00:17 -0800
From: Time Traveler <chrono@ibm.net>
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Stan Isaacs wrote:
> 
> Anybody have any good moves for super-skewb centers?  That is, ones
> that either twist centers in place, or move them without twisting.
> Tony Fisher, in England, makes some wonderful puzzles based on the
> Skewb, but in shapes such as an Icosahedron, or Dodecahedron, or
> Rhombic Dodecahedron.  These are all actually Super-Skewbs.
> 
>  -- Stan Isaacs

Tony Fisher still makes those things?  It's HIS fault that I hacked one
of my cubes into fine powder!  Ah, yes.  A GOOD memory. :)

Happen to know how to get a hold of him?

-- 
Jin "Time Traveler" Kim
chrono@ibm.net
VGL Costa Mesa


From cube-lovers-errors@curry.epilogue.com  Thu Feb 20 13:45:33 1997
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To: Cube-Lovers@AI.MIT.EDU
From: Wei-Hwa Huang <whuang@ugcs.caltech.edu>
Subject: IPP17?
Date: 20 Feb 1997 16:11:44 GMT
Organization: California Institute of Technology, Pasadena
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Anyone on the mailing list going to the International Puzzle
Collector's Party in San Francisco? 

It's be nice to meet some more people I know there...

--
Wei-Hwa Huang, whuang@ugcs.caltech.edu, http://www.ugcs.caltech.edu/~whuang/
-------------------------------------------------------------------------------
Now surfing the Internet at 24 hours a week.


From cube-lovers-errors@curry.epilogue.com  Thu Feb 20 17:01:07 1997
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From: Stan Isaacs <isaacs@hpcc01.corp.hp.com>
Message-Id: <199702202137.AA029444678@hpcc01.corp.hp.com>
Subject: Re: Super-skewb
To: Cube-Lovers@ai.mit.edu
Date: Thu, 20 Feb 1997 13:37:57 PST
X-Mailer: Elm [revision: 109.19]

Several people asked how to get the so-called "Super-skewbs" (the name
is from an earlier cube-lovers message, not from Tony Fisher.)  They
are made by hand, by Tony Fisher (see below).  He has about 9 puzzles,
and says he plans to have some new ones later this year.  He makes
them by glueing parts onto Skewbs.  The results, I think, are
excellent.  One corner broke off of one of the puzzles I got, but is
easily glued back on.  They move nicely (which means, I think, that
the original Skewbs moved nicely.)  He says he just buys them in
shops, and then makes the transformations at home.  They mostly cost
around $60 - $75 (American), although a triple 5x5x5 is $90, and a
mini-octahedron is $40.  I don't know if these are permanent prices;
they may change if prices of the cubes (or plastic) goes up.  besides
the skewb variations, he as "Siamese" versioin of both the skewb and
the 5x5x5 cube (ie, he combines two into one; I don't have these, so I
don't know exactly how the Siamese Skewb works.)  He also has a Triple
"Triamese 5x5x5", and a mini-octahedron based on the Tetraminx (which
I also want to get a copy of.  His address is:

	Tony Fisher
	9 Cauldwell Hall Road
	Ipswich, Suffolk, IP4 4QD, Great Britain

I guess I ought to put the list of puzzles for clarity:

Skewb variations:
  Icosahedron 	       - $60
  Dodecahedron 	       - $60
  Rhombic-Dodecahedron - $60
  Octahedron	       - $55
  Siamese Skewbs       - $60
  Mental Block	       - $75  (A strange object: looks like a 1x3x3
block, with 9 even squares on the top and bottom, but the edges are
cut by an 'X' in the middle, so there are 2 triangles and 2 pentagons
on each edge.  When twisted, it makes all sorts of strange shapes.)

Siamese 5x5x5		- $75
Triamese 5x5x5		- $90

Mini-Octahedron (based on Tetraminx) - $40

Dave Singmaster pointed out that the instructions for "Sonic's Puzzle
Ball", but Christoph Bandalow, has some super-skewb moves in it.  I've
just glanced at it, so I haven't had a chance to try them yet.  He
seems to have about 3 moves that twist pairs of squares (and some
triangles), of lenght 10, 14 or 18.

  -- Stan isaacs
  -- isaacs@corp.hp.com



From cube-lovers-errors@curry.epilogue.com  Fri Feb 21 13:46:38 1997
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To: Cube-Lovers@AI.MIT.EDU
From: Wei-Hwa Huang <whuang@ugcs.caltech.edu>
Subject: Re: Super-skewb
Date: 21 Feb 1997 16:47:06 GMT
Organization: California Institute of Technology, Pasadena
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Stan Isaacs <isaacs@hpcc01.corp.hp.com> writes:
>Anybody have any good moves for super-skewb centers?  That is, ones
>that either twist centers in place, or move them without twisting.
>Tony Fisher, in England, makes some wonderful puzzles based on the
>Skewb, but in shapes such as an Icosahedron, or Dodecahedron, or
>Rhombic Dodecahedron.  These are all actually Super-Skewbs.

If I remember correctly, all my moves for the Skewb are based on
the "R1L-1R-1L1" move.  Repeating this four-move sequence at
different orientations does everything, including rotating centers
and moving them.

Unfortunately, I don't have any on hand at the moment, so I can't
test them out exactly.

--
Wei-Hwa Huang, whuang@ugcs.caltech.edu, http://www.ugcs.caltech.edu/~whuang/
-------------------------------------------------------------------------------
Now surfing the Internet at 24 hours a week.


From cube-lovers-errors@curry.epilogue.com  Fri Feb 28 13:51:54 1997
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From: "joyner.david" <joyner.david@mathnt1.sma.usna.navy.mil>
To: "'cube-lovers@ai.mit.edu'" <cube-lovers@ai.mit.edu>
Subject: impossiballs
Date: Fri, 28 Feb 1997 13:38:46 -0500
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Does anyone know of any impossiballs for sale in a
>store in the US? - David Joyner
>


From cube-lovers-errors@curry.epilogue.com  Sat Mar  1 01:52:20 1997
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Date: Fri, 28 Feb 1997 15:52:23 -0800
From: Time Traveler <chrono@ibm.net>
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joyner.david wrote:
> 
> Does anyone know of any impossiballs for sale in a
> store in the US? - David Joyner
> 

Try Peter Beck of New Jersey.  I don't remember his address (my address
book program was lost along with EVERYTHING else in a hard drive crash)
but I've seen his name on a list or two of puzzle sources.  The last
Time I bought puzzles from him (ohh... about 3 years ago) he had ONE
used Impossiball available.  But who knows, maybe things have improved
since then.

Speaking of which, does anyone know where I can get my hands on a
Rubik's Revenge?  I saw some for sale at www.puzzlett.com, but someone
said that they were an unreliable source (i.e. they ripped him off).

-- 
Jin "Time Traveler" Kim
chrono@ibm.net
VGL Costa Mesa

[ Note from the moderator:
  Peter Beck's electronic mail address is: pbeck@pica.army.mil
			- Alan (aka Cube-Lovers-Request@AI.MIT.EDU) ]

From cube-lovers-errors@curry.epilogue.com  Sun Mar  2 02:53:57 1997
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Date: Sun, 02 Mar 1997 00:50:27 -0500 (EST)
From: Jerry Bryan <jbryan@pstcc.cc.tn.us>
Subject: An Enhancelment for Shamir with M-conjugacy
To: Cube-Lovers <cube-lovers@ai.mit.edu>
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I now have a functioning Shamir program.  I do not consider it quite up to
production quality just yet.  I am still working on a number of
improvements.  Also, all the results that are easily accessible to the
program have already been calculated by other means, so I have no new
search results to report at this time.  I do expect some new results from
time to time, but the runs will probably take weeks or months.  However,
in the process of developing the program, I came up with an enhancement
which I wished to report. 

Recall that the heart of the Shamir method is a mechanism which will for
all s in S and all t in T produce all products st in lexicographic order. 
This basic mechanism can be applied in a number of ways.  For example, it
can be applied to the problem of determining a minimal solution for a
particular position.  It can also be applied to the problem of conducting
a breadth first exhaustive search.  The former is the basic method
developed by Shamir and first reported to this group by Alan Bawden.  The
latter is the problem which I am currently addressing. 

As already reported in several previous messages, my implementation of
Shamir seeks to incorporate M-conjugacy to the maximum extent possible to
reduce memory requirements.  As such, it does not store the sets S and T. 
Rather, it stores the sets A and B, where A and B contain only
representative elements of the M-conjugacy classes which are contained in
S and T, respectively. 

A and B are about 48 times smaller than S and T.  However, we cannot
obtain any meaningful results using only A and B.  Rather, A and B have to
be expanded by M-conjugation to produce S and T.  That is, we represent S
as A^M and T as B^M.  There are no fewer positions, but only three bytes
or so are required to represent each position in A^M and B^M.  So we
produce products st in lexicographic order for s in A^M and t in B^M. 
This model is slow, but it is small. 

At the back end of the algorithm, we determine which st values are
representatives and which are not.  Those which are, we keep.  Those which
are not, we simply discard.  In my earlier messages about combining Shamir
with M-conjugacy, I lamented the difficulty of producing representatives
in lexicographic order.  Simply discarding non-representatives is a crude
but effective way to accomplish the goal.  It is not quite as good as not
producing the non-representatives in the first place, but it is a good bit
better than nothing. 

As an example of the "better than nothing" idea, the Shamir method does
not directly produce ST in lexicographic order.  Rather, it produces St in
lexicographic order for each t in T.  The results then have to be merged. 
The non-representatives are discarded prior to the merge, so that 48 times
fewer positions have to be merged.  Also, the products st are tested byte
by byte as they are produced to determine if they are representatives.  It
is usually possible to determine that a position is not a representative
after no more than two or three bytes, so there are some efficiencies in
the process of discarding non-representatives.  That is, the only products
st which are calculated in their entirety are those for representatives. 

The enhancement I want to report is that it is possible to discard entire
branches of the Shamir tree without examining any of the nodes in the
branch except the root of the branch.  That is, it is possible to show
that entire branches of the tree contain only non-representatives.  Such
branches can be pruned from the search without examining any of the nodes
individually.  Approximately 47/48 of the search tree can be eliminated
from the search tree in this manner.  Unfortunately, the speed up is not
times forty-eight as I hoped, but it is significant nonetheless. 

The model is an S24xS24 model with S24 acting on 0..23.  The corners are
therefore vectors of the form [a,b,c,....], which means 0->a, 1->b, 2->c,
etc.  The identity is [0,1,2,....].  We focus on the corners because we
consider the order of the corners first in our lexicographic order, using
the order of the edges only to break ties on the corners.  We call a
representative element of each M-conjugacy class a canonical form, and all
other elements we call non-canonical. 

The nature of the Shamir search is that it produces successively more
complete partial permutations as a tree is searched.  That is, it produces
[a,?,?,...] at the zeroth level of the tree, [a,b,?,?,...] at the first
level of the tree, [a,b,c,?,?,...] at the second level of the tree, and so
forth until a complete permutation is constructed. 

The enhancement to the method consists of determining which of the partial
permutations are canonical, which are non-canonical, and which are
neither.  A partial permutation is canonical if all daughter nodes are
canonical, a partial permutation is non-canonical if all daughter nodes
are non-canonical, and a partial permutation is neither if there are
daughter nodes of both types. 

>From a theoretical point of view, the type of each node could be
determined by examining each daughter and backing up the results
appropriately, similar to an alpha-beta search.  From a practical point of
view, the whole purpose is to determine the type of node without examining
any of the daughters.  And in practice, we only detect non-canonical nodes
vs. other than non-canonical nodes.  There is no disadvantage to this
procedure because it is only the non-canonical nodes which we wish to
eliminate from the search. 

Determining non-canonical nodes depends both on the particular numbering
scheme which is used for the cube facelets and also upon the particular
representative element function which is chosen.  We number the Front
corner facelets of the cube as follows: 

   0  1

   3  2

The Back corner facelets are then numbered 4..7, with opposite facelets
summing to 7.  All other facelets are numbered by adding 8 to the Front or
Back facelet as you look at the facelets of the cubie in clockwise order. 
For example, the flt cubie is (0,8,16), and the ftr cubie is (1,9,17). 

The representative element function returns the M-conjugate which of all
the elements in the M-conjugacy class is first in lexicographic order. 

Consider the partial permutation [0,?,?,...].  Its M-conjugates are of the
form [?,1,?,?...], [?,?,2,?,?,...], [?,?,?,3,?,?,...], etc.  It is easy to
see that if a representative begins with 0, then there is at least one of
the eight corner cubies somewhere in the cube which is properly
positioned, both with respect to location and with respect to twist. 
Also, it is easy to see that the partial permutation [0,?,?,...] has both
canonical and non-canonical forms as daughters. 

But consider the partial permutations [1,?,?,...] and [3,?,?,...].  They
are conjugate, but the canonical form is [1,?,?,...].  Hence, no canonical
form can begin with 3.  Therefore, we eliminate all permutations which
begin with 3 from the search, and we have eliminated 1/24 of the search
tree.  

I have calculated a table of non-canonical cutoff points for the corners. 
The results are as follows.  Notice that not all cutoffs are at the zeroth
level of the tree as is the cutoff for 3, but nonetheless there are 17
cutoffs at the zeroth level.  That means that there are only 7 (out of 24)
ways to begin a canonical permutation. 


Level       Noncanonical  Positions     
               Nodes      Trimmed        

i= 0    count=        17   62460720          
i= 1    count=        63   11022480          
i= 2    count=       487    4733640          
i= 3    count=      7610    4931280          
i= 4    count=     17830     962820          
i= 5    count=    138978     833868          
i= 6    count=    622745     622745          
Total trimmed              85567553

The positions trimmed figure is based on a corners only search, just to 
give a sense of proportion to the numbers.  The corners only group 
contains about 88 million positions.  For the complete cube, the numbers 
would be larger, but the proportions would be the same.

 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =
Robert G. Bryan (Jerry Bryan)                jbryan@pstcc.cc.tn.us
Pellissippi State                            (423) 539-7127
10915 Hardin Valley Road                     (423) 694-6435 (fax)
P.O. Box 22990
Knoxville, TN 37933-0990




From cube-lovers-errors@curry.epilogue.com  Thu Mar  6 15:48:05 1997
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From: bagleyd <bagleyd@megahertz.njit.edu>
Message-Id: <199703061759.MAA19236@megahertz.njit.edu>
Subject: winpuzzles and xpuzzles
To: cube-lovers@ai.mit.edu
Date: Thu, 6 Mar 1997 12:59:28 -0500 (EST)
X-Mailer: ELM [version 2.4 PL24]
Content-Type: text

Hi

I made a new release of my puzzles.
They are available for Windows 3.1 and above at
http://megahertz.njit.edu/~bagleyd/
as
winpuz64.zip
source is available also for each puzzle.

For X
ftp://sunsite.unc.edu//pub/Linux/games/x11/strategy/xpuzzles-5.4.1.tgz
Also available at the site below, you may need a mirror though to get it from
ftp.x.org since they only allow 50 users.

They puzzles include:

I updated all the txt/manual files. So they now contain a little history
of the origins of each with references.

Fixes for the Masterball

Auto solve capability for Panex thanks to Rene Jansen <RENE.R.J.JANSEN@RCC.nl>
(based on the algorithm in Quantum Jan/Feb 96).
Panex with 3 tiles on each side is known to be solvable in 42 moves
The version here solves it in 45.  Rene and I would both like to improve this.

For the X versions I added: Username, concurrency check, configure

-- 
Cheers, 
  /X\   David A. Bagley
 // \\  bagleyd@bigfoot.com   http://megahertz.njit.edu/~bagleyd/
((   X  xlockmore, new stuff for xlock @ ftp.x.org//contrib/applications
 \\ //  altris, tetris games for x @ ftp.x.org//contrib/games/altris
  \X/   puzzles, magic cubes for x @ ftp.x.org//contrib/games/puzzles


From cube-lovers-errors@curry.epilogue.com  Sat Mar  8 21:56:13 1997
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From: Mitch269@aol.com
Date: Sat, 8 Mar 1997 21:37:53 -0500 (EST)
Message-ID: <970308213750_1383812770@emout11.mail.aol.com>
To: Cube-Lovers@ai.mit.edu
Subject: RUBIK'S CUBE/RUBIK'S REVENGE

Does anyone know of an address I could send to order Rubik's Puzzles?  I
can't seem to find either one anywhere.  Thanks.

Mitch Brewer
mitch269@aol.com


From cube-lovers-errors@curry.epilogue.com  Sun Mar 23 14:19:14 1997
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From: bandecbv@rz.ruhr-uni-bochum.de
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Subject: Super-skewb
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> Anybody have any good moves ... (Stan Isaacs, 19 Feb 1997) 
> Several people asked ... (Stan Isaacs, 20 Feb 1997)
>
Hi, Cube-Lovers!
My name is Chistoph Bandelow, and I am new in this exclusive club.
Having finally aquired a modem and the necessary software a few weeks 
ago, I'm still overwhelmed and confused by everything. I have read 
all the contributions from July 1996 till now and the complete "Index 
by Subject". 

To begin with something, I would like to make some remarks about the
Skewb, especially the wonderful Skewb variations made by Tony Fisher.  I
suggest to call them "Fisher's Icosahedron", "Fisher's Dodecahedron", and
so on..Owing all of these puzzles, I am very enthusiastic because of their
originality and first-class quality. Just in case you are considering to
acquire one or the other from him: Tony Fisher is a very reliable, modest
and decent person.

THE SKEWB has been first described to a larger public by Douglas R. 
Hofstadter in the July 1982 edition of Scientific American. This 
treatise is included in Hofstadter's book "Metamagical Themas" (Basic 
Books 1985 and Bantam Books 1986). It was here where Hofstadter 
suggested the name 'skewb' as a reminder of skew and cube. 
One of the wonderful features of the Skewb is that we don't have to 
quarrel how to count single moves: no trouble with outer layer moves 
versus slice moves or with 90=B0 moves versus 180=B0 moves, there is just 
one type of move rotating one half of the Skewb by 120=B0 against the 
other half. 
>From 1985  to 1988 I had an intensive correspondence with Ronald 
Fletterman where I used the following 

NOTATION: Hold the (ordinary cubical) Skewb such that there is a 
unique Right upper corner, Left upper corner, Front upper corner and 
Back upper corner. R, L, F and B respectively denote a clockwise 120=B0 
rotation  of the associated half cube (as seen from the outside). R', 
L', F' and B' denote counterclockwise turns. Small letters r, l and 
so on are used for rotations around the bottom corners. Though this 
notation is short and handy, it is probably not as good as the one 
used by D. J. Joyner in his Skewb page (see 
http://www.nadn.navy.mil/MathDept/wdj/rubik.html) 
But I stick on my old notation, especially after Ronald Fletterman, 
used this notation in two papers in CFF (Cubism For Fun, the 
newsletter  of the Dutch Cubist Club) in which he provides an 
enormous collection of Skewb maneuvers, see CFF 17 (May 1988) and  
CFF 18 (September 1988). The square center pieces of the Skewb can 
only rotate pairwise and only by 180=B0, not by 90=B0. Ronald 
Fletterman's collection covers these "invisibles". He, the 
perfectionist,  gives maneuvers for all 5 possible cases: 2 
neighboring squares, 2 opposing squares, 4 squares all but 2 
neighborings, 4 squares all but 2 opposing, all 6 squares. However, 
all his other maneuvers (those for the corner pieces of the Skewb) 
pay absolutely no heed to the orientation of the center pieces. Every 
short and elegant solution method for the new Skewb variations of 
Tony Fisher or for the beautiful round versions of the Skewb like 
Mickey's Challenge or Sonic's Puzzle Ball or the Mach Balls require 
maneuvers for the corner pieces which do not twist the center pieces. 
Some of those maneuvers are given in my 80 page booklet about 
Mickey's Challenge or about Sonic's Puzzle Ball or on the leaflets 
accompanying some other puzzle balls from Meffert. Here is a 
selection:

SOME SUPER SKEWB MANEUVERS. 

1. (FL'R)^6 (18)  twists the 2 neighboring squares on the left side. 

2. R'BLF'L'FRLB'R'FRF'L' (14) achieves the same thing. 

3. FfRr'f'FfF'R'f'rRF'R' (14) twists the top and bottom square. 

4. (RF')^2 (R'F)^2 (8) twists the four top corner pieces: 

... the right and front one clockwise, the left and back one counter-

... clockwise, in short: (+R) (+F) (-L) (-B). 

5. R'FR' (F'R)^2 fF'f (Ff')^2 (14)  twists 2 corner pieces: (+R)(-L)

6. rF'rfR'F'rfR'r'F (11) twists the top front corner piece clockwise 

... and exchanges (3-cycles) the 3 neighboring corner pieces, 

... in short: (+F) (L,R,f). The very last notation does not precisely 

... describe the effect of the maneuver since the orientation of the

... three corner pieces is not given. A remarkable and fundamental 

... difference between Rubik's Cube and the Skewb is that the Skewb 

... does not allow pure corner-3-cycles: It is impossible to achieve 

... (L,R,f) without any other corner piece change! 

CALL TO CUBE-LOVERS: I'm convinced that the maneuvers given above, 
especially number 2, 3 and 5, may be improved. Who can give shorter 
maneuvers or a good maneuver for (+L) (+R) (+f) ?

PROPAGANDA. One last remark: I don't want to offend the good rules of 
netiquette by doing any kind of advertising here. But to avoid 
unnecessary questions and loss of time, allow me to say that I will 
send my free mail order cube catalog (1996 edition, this is still the 
latest) to everybody who requests one and provides his postal 
address. 

Christoph 
Christoph Bandelow
mailto:Christoph.Bandelow@rz.ruhr-uni-bochum.de


From cube-lovers-errors@curry.epilogue.com  Thu Mar 27 11:43:20 1997
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Date: Thu, 27 Mar 1997 04:56:51 -0500 (EST)
From: Nicholas Bodley <nbodley@tiac.net>
To: bandecbv@rz.ruhr-uni-bochum.de
cc: cube-lovers@ai.mit.edu
Subject: "Propaganda": OK with me!
In-Reply-To: <199703231549.QAA15923@sun529.rz.ruhr-uni-bochum.de>
Message-ID: <Pine.SUN.3.95.970327045127.914C-100000@sunspot.tiac.net>
MIME-Version: 1.0
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 Here's one list recipient who thinks Christoph Bandelow was quite
courteous in his "propaganda"; I was quite glad to finally have a
convenient way to request his catalog. I hope he's not overwhelmed by
requests! As some (perhaps most) of you know, he has quite a reputation
(and a good one) already.

 Christoph: It's fine with me! Next message (private) will be a
catalog request to you. Welcome to the 'Net!

|*  Nicholas Bodley   *|*  Electronic Technician {*} Autodidact & Polymath
|*   Waltham, Mass.   *|*  -----------------------------------------------
|*  nbodley@tiac.net  *|*    When the year 2000 begins, we'll celebrate 
|*  Amateur musician  *|*    the 2000th anniversary of the year 1 B.C.E.
--------------------------------------------------------------------------



From cube-lovers-errors@curry.epilogue.com  Thu Mar 27 14:21:52 1997
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Date: Thu, 27 Mar 1997 11:18:35 -0800
From: Time Traveler <chrono@ibm.net>
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Subject: Re: Super-skewb
References: <199703231549.QAA15923@sun529.rz.ruhr-uni-bochum.de>
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bandecbv@rz.ruhr-uni-bochum.de wrote:

> PROPAGANDA. One last remark: I don't want to offend the good rules of
> netiquette by doing any kind of advertising here. But to avoid
> unnecessary questions and loss of time, allow me to say that I will
> send my free mail order cube catalog (1996 edition, this is still the
> latest) to everybody who requests one and provides his postal
> address.
> 
> Christoph
> Christoph Bandelow
> mailto:Christoph.Bandelow@rz.ruhr-uni-bochum.de

I must vouch for Dr. Bandelow, as I had an opportunity to purchase a
number of pieces from him some years ago, specifically an intriguing
variant of the spherical skewb called the Moody Ball by Gerd Braun.  

-- 
Jin "Time Traveler" Kim
chrono@ibm.net
VGL Costa Mesa


From cube-lovers-errors@curry.epilogue.com  Tue Apr  1 15:56:31 1997
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Date: Tue, 1 Apr 1997 06:36:01 -0800 (PST)
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X-Originating-IP: [194.239.24.235]
From: Philip  Knudsen <philipknudsen@hotmail.com>
To: cube-lovers@ai.mit.edu
Subject: Greg's Cubes
Content-Type: text/plain

Hi everybody!

I'm Philip Knudsen, and i live in Copenhagen, Denmark. Last year i found out
about this list, and read most of the old messages. The past few months i have
subscribed to the list using a free email account at my library.
Now for my 1st message: Since the talk is of Fisher's Skewb variants (which
sound very interesting indeed), i would like to mention to those whom it might
interest, that Greg Stevens, Seattle, is making various types of cube variants.
I have one of his catalogues, and have also received from him an "Off Center
Cube".
His designs, about 12 different, seem to be in the following categories:
1) Bandaged Cubes, made from standard 3x3x3
2) Shape modifications, made from standard 3x3x3
3) 1) and 2) combined
4) Bandaged Square-1
5) Bandaged 4x4x4 (where did he get the raw material???)
6) Shape variations of Pyraminx, i.e. "Pyraminx Star"

The "Off Center-Cube" is a 3. It is well made, and very tough to solve. In fact
i still need to find out how to turn the center pieces, which by the way are
disguised as edge pieces.
Last but not least - Greg also is a very reliable and decent person.
If anyone's interested i shall forward his postal address to the list. 




---------------------------------------------------------
Get Your *Web-Based* Free Email at http://www.hotmail.com
---------------------------------------------------------


From cube-lovers-errors@curry.epilogue.com  Wed Apr  2 15:54:57 1997
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From: Philip  Knudsen <philipknudsen@hotmail.com>
To: cube-lovers@ai.mit.edu
Subject: Greg's Cubes
Content-Type: text/plain

Greg is not online. His postal address is:
Greg Stevens,
313 N.E. 151st,
Seattle, WA 98155,
U.S.A.
I'll try and find his phone number too.

Good Luck!           Philip K



---------------------------------------------------------
Get Your *Web-Based* Free Email at http://www.hotmail.com
---------------------------------------------------------


From cube-lovers-errors@curry.epilogue.com  Wed Apr  2 15:54:25 1997
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From: "joyner.david" <joyner.david@mathnt1.sma.usna.navy.mil>
To: "'cube-lovers@ai.mit.edu'" <cube-lovers@ai.mit.edu>
Subject: RE: Greg's Cubes
Date: Wed, 2 Apr 1997 07:14:54 -0500
X-Mailer:  Microsoft Exchange Server Internet Mail Connector Version 4.0.837.3
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I have bought cubes from Greg Stevens and can second Philip Knutsen's 
opinion about his reliability. - David Joyner

>----------
>From: 	Philip  Knudsen[SMTP:philipknudsen@hotmail.com]
>Sent: 	Tuesday, April 01, 1997 9:36 AM
>To: 	cube-lovers@ai.mit.edu
>Subject: 	Greg's Cubes
>
>Hi everybody!
>
>I'm Philip Knudsen, and i live in Copenhagen, Denmark. Last year i
>found out
>about this list, and read most of the old messages. The past few months
>i have
>subscribed to the list using a free email account at my library.
>Now for my 1st message: Since the talk is of Fisher's Skewb variants
>(which
>sound very interesting indeed), i would like to mention to those whom
>it might
>interest, that Greg Stevens, Seattle, is making various types of cube
>variants.
>I have one of his catalogues, and have also received from him an "Off
>Center
>Cube".
>His designs, about 12 different, seem to be in the following
>categories:
>1) Bandaged Cubes, made from standard 3x3x3
>2) Shape modifications, made from standard 3x3x3
>3) 1) and 2) combined
>4) Bandaged Square-1
>5) Bandaged 4x4x4 (where did he get the raw material???)
>6) Shape variations of Pyraminx, i.e. "Pyraminx Star"
>
>The "Off Center-Cube" is a 3. It is well made, and very tough to solve.
>In fact
>i still need to find out how to turn the center pieces, which by the
>way are
>disguised as edge pieces.
>Last but not least - Greg also is a very reliable and decent person.
>If anyone's interested i shall forward his postal address to the list. 
>
>
>
>
>---------------------------------------------------------
>Get Your *Web-Based* Free Email at http://www.hotmail.com
>---------------------------------------------------------
>
>


From cube-lovers-errors@curry.epilogue.com  Thu Apr  3 12:16:11 1997
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From: Karen Angelli <kangelli@tiac.net>
To: "'Cube-Lovers@AI.MIT.EDU'" <Cube-Lovers@ai.mit.edu>
Subject: Cube History: Triumph and Defeat
Date: Thu, 3 Apr 1997 07:58:25 -0500

A recent addition to the Cube-Lovers list, I would like to share one of
the least known events in the history of Cube entertainment, and its
repercussions in the mass media and ultimate disgrace of one of the most
powerful men in entertainment.

It was the early '80s and Rubik's-Cube-Mania was all the rage.  Although
not nearly as accomplished as some of this list's members were, I could
solve the cube in about one minute.  I was also a lifeguard at a public
pool, and a locally renowned under-water swimmer (with a personal best
of 75 meters).  With such amazing and narrowly acclaimed accomplishments
in such diverse fields of endeavor, it was only natural that I would
feel public pressure to combine the two.  Thus was born underwater cube
solutions.

I took my best lubricated cube, a dive mask and a weight belt, and
started solving the cube in 10 feet of water.  After several practice
attempts, to ensure that I could hold my breath long enough to complete
the cube, I volunteered my services to the local synchronized swimming
club which was looking for an opening act for their show.

The show took place before a not so overflowing crowd during the busiest
season of the year, the local Nordic Fest celebration of Scandinavian
heritage.  The international crowd of aquatic enthusiasts was stunned
when I was introduced.  My bikini clad assistant handed the pristine
cube to one of the audience members to randomize and returned to me.
Then, in four and a half feet of water, I submerged and started solving
the cube.

After about 10 seconds of hurried twisting, I dropped the cube and lost
my place - I had to start over.  In practice, it had never taken me more
than about 1 min, 15 seconds to solve the cube, and I had practiced
holding my breath comfortably for about 1 min, 25 seconds.  I wasn't
sure whether I would complete the task.  After about 1 min 30 seconds,
my sister started yelling for someone to help me.  However, at the 1 min
38 second mark, I surfaced - to thunderous applause.  Certainly one of
the greatest moments of cube history.  How sad that this would lead to
infamy and no greater laurels.

After hearing the story of how I wowed a normally reserved Iowan crowd,
my classmates in college in Pennsylvania encouraged me to find a larger
audience, on a national stage.  Naturally, I wrote to NBC's Late Night
with David Letterman to pitch my idea for a stupid human trick.
Uncharacteristically, however, Dave turned down a good idea.  I haven't
forgiven him since.

I hope I haven't disappointed any Dave fans out there, but the truth had
to surface some day.  Thanks for keeping the flame alive Cube-lovers.

Pete Reitan



From cube-lovers-errors@curry.epilogue.com  Fri Apr  4 11:35:52 1997
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Date: Fri, 4 Apr 1997 09:28:08 -0500 (EST)
From: Jiri Fridrich <fridrich@binghamton.edu>
X-Sender: fridrich@bingsun2
To: Cube-Lovers@ai.mit.edu
Subject: Pretty patterns with Kociemba (help)
Message-ID: <Pine.SOL.L3.93.970404092400.8134A-100000@bingsun2>
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII


I would like to ask for your help to find short algorithms for some
pretty patterns below. The algorithms are just working algorithms and
are probably too long. Can anybody apply Kociemba's algorithm to 
those positions? 

The patterns form a small portion of a very large collection of
pretty patterns found by Mirek Goljan and Peter Nanasy from Czech
Republic. The algorithms below are the awkward "outliers" for which
we were unable to find a reasonably short "logical" algorithm. It
looks like Kociemba's algorithm is the only chance. 

Thanks in advance for your help!

Jiri Fridrich

P.S.: Visit my speed cubing page at
http://ssie.binghamton.edu/~jirif. The complete collection of
pretty patterns will be there soon.

F'R2D'RsF RsF D'R2D F'L2F D'R2D2B LsU'F'      28,23,20  DLV
U'R B'R'U R'D2F U F U'F'D'U2BsLsD F           22,20,18  U4V
R2F'D'F2L F'R F R'aF'D B LsDsF'U2             22,19,17  U5V
F'R2D'RsF RsF D'R2D F'L2F D'R2D2F UsL'U'      28,23,20  LV
D B'L'B2L B D2B'L'B2L B D'L2B2D2              22,16     L'2
D2B2D2B2U2F2U R2U F2U2R2D R2D		      26,15	L'8
FaR2F'aD'aR2U'F2D R2D2F2U F2U                 24,17     L'9
D2F2L2U2D B R B2R'B'D2R'B'R2B R D             24,17     L'10
LsF2R2D'FsU'F2sDFsDR2F2Rs                     24,18,13  [SS']
U L D R2U R U'R B'D B'D'B2D'L'U'              18,16     [VH]
R'D2R B'U2B R'D2R B'U2B . U B2L BsL2R'FsU2D L'B2U'      [VHH']
R U'R B'D B'D'B L B'U R'U R U2B2R2L'U         22,19     [VSS']  
LsF2R2D'FsU'F2sDFsDR2F'L'FsU F'U'BsR                    [SS'H]
U'R F'R'F L F'DsBsL U'R'D R D'F               18,18,16  [DOO']
U L D R2U R U'L DsBsR'B L'B'L2B'D'F'          22,20,18  [DVH]
LsF2R2D'FsU'F2sDFsDR2F'R'DsBR'F'LsU                     [DSS'H]
B'L'D L'U'BsLsU'R DsR'D R U R'D L             20,20,17  [DHOO']
B'L F'L2FsR'B R F'LsB'R B2L F L'              20,18,16  [VO]
LsU FsD F2sU'FsU'F L'FsU F'U'BsR              24,22,16  [SHH']
R'F2L'D'L F2B D B'D'FsL B L2D L F'R           22,19,18  [SS'O]
D'L F R U2L U2R2U2L'U R2U R'F'L'D             22,17     [VHO]
R'F'L BsD'F'D B'L'B L F R'DsBsR U             20,20,17  [DSO']
LsU FsD F2sU'FsU'F R'DsB R'F'LsU              24,22,16  [DSHH']
R'D B D R'DsB L B'U'aR B'D'R2B'D'R            20,19,18  [DVSO]
D F'UsL'DsF UsL2F'L DsF'LsD BsR'D B'R'        26,25,19  [DU3U4]
U L F'L DsF'LsD BsR'D LsU'L'U'F'aU'BsL F2U    28,27,22  [DU2U3]
R2sF2R2F2sR2F2.FD'L'DLD'L'DLD'L'DLF'
FD'L'DLD'L'DLD'L'DLF'. F2sR2sD F2sU2R2sD
D'F'D F DsB L'D L UsB'D'B R'F'D'F'D           20,20,18  [WORKS(14)]
U'B2RaU2R'B'U L'B UsR'B U'R B'DsB2R2U         26,22,20  [WS(14)S'(23)]
R D'F2D F'R F UsF DsF'R2D F D'R D F'D'        23,21,19  [ORKK'S(14)(23)]
R U'F R'B'D2R'U'BsLsD B L U'R'U'F U'Ls        23,22,19  [DK]
D'R'BULsB'UB'U'BL'BLB'UB'U'BRsDB'DsF'UsLB     30,30,26  giant meson 1
L D R2D'L2U B'D'B D'R'D R DsL D'B2D           22,19,18  giant meson 2
R2L'DBR'D'BLBL'D'B'D2LDL'U'FD'F'RFL'FLF2R'D2U           
DFRsU'B'D'R'aD'LsBDFD2F2DF'R'B'L'DLBF2RD'R2D        

Notation:

Ra = antislice RL, Fa = FB, etc.
Fs = slice move FB', Rs = RL', etc.
F2s = 180 deg. slice move, etc.

The three-tuple in the second column means the number of quarter,
face, and slice moves. You can Ignore the cryptic notation in square
brackets.



**********************************************************************
|  Jiri FRIDRICH, Research Associate, Dept. of Systems Science and   |
|  Industrial Engineering, Center for Intelligent Systems, SUNY      |
|  Binghamton, Binghamton, NY 13902-6000, Tel.: (607) 797-4660,      |
|  Fax: (607) 777-2577, E-mail: fridrich@binghamton.edu              |
|  http://ssie.binghamton.edu/~jirif/jiri.html                       |
**********************************************************************

......................................................................

Remember, the less insight into a problem, the simpler it seems to be!
----------------------------------------------------------------------



From cube-lovers-errors@curry.epilogue.com  Tue Apr 15 13:20:28 1997
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Message-Id: <199704151245.NAA02212@mail.iol.ie>
From: Goyra <Goyra@cheerful.com>
To: Cube-Lovers@ai.mit.edu
Subject: Java cubes
Date: Tue, 15 Apr 1997 10:53:27 +0100
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	Yo!

	The world's largest collection of Java
Rubik puzzles is now under construction at

	http://www.iol.ie/~goyra/Rubik.html

All comments are appreciated. An up-to-date Java 
browser is required.

				Goyra



From cube-lovers-errors@curry.epilogue.com  Fri May  9 15:02:56 1997
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Date: Fri, 09 May 1997 18:03:26 BST
From: David Singmaster Computing & Maths South Bank Univ <david.singmaster@sbu.ac.uk>
To: cube-lovers@ai.mit.edu
Message-ID: <009B402B.C196AB40.297@vax.sbu.ac.uk>
Subject: Underwater cube solving

	I found the story in my Cubic Circular 1, p. 16.  Pete promised to
marry his lady when she got down to 60 seconds, which wasn't too hard as she 
was already at 70 seconds.  Her name was Chris Clark.  The TV recorded only
showed a lot of bubbles!  One would need a underwater TV camera to get 
antything interesting.
DAVID SINGMASTER,  Professor of Mathematics and Metagrobologist
School of Computing, Information Systems and Mathematics
Southbank University, London, SE1 0AA, UK.
Tel: 0171-815 7411;  fax: 0171-815 7499; 
email:  zingmast  or  David.Singmaster  @sbu.ac.uk


From cube-lovers-errors@oolong.camellia.org  Fri May  9 15:21:07 1997
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Date: Fri, 09 May 1997 17:16:09 BST
From: David Singmaster Computing & Maths South Bank Univ <david.singmaster@sbu.ac.uk>
To: cube-lovers@ai.mit.edu
Message-ID: <009B4025.26B4C360.894@vax.sbu.ac.uk>
Subject: Underwater cube solving

	I've been away from my email for some time and have just seen the
message of 3 Apr 1997 from Pete Reitan via Karen Angelli.
	In England, we also had some underwater cube solving.  This is probably
in my Cubic Circular somewhere, but I can't find it.
	A lecturer in mathematics at the open University, Pete Strain, got
interested in the Cube when I brought early examples to the Open University in
early 1979.  He got married about that time and took on the name Strain-Clark,
and his wife was also interested.  They performed underwater for Anglia
Television, probably in 1980.  This is a regional television and I've never
seen the program.  They had similar problems to Pete - in particular, her
face mask leaked and she couldn't see for the last 15 seconds and had to
solve the cube by memory!
	I've looked through my Cubic Circular again and can't find that
I ever included the above.
	Some day I may assemble another issue, mostly of anecdotes.
DAVID SINGMASTER,  Professor of Mathematics and Metagrobologist
School of Computing, Information Systems and Mathematics
Southbank University, London, SE1 0AA, UK.
Tel: 0171-815 7411;  fax: 0171-815 7499; 
email:  zingmast  or  David.Singmaster  @sbu.ac.uk


From cube-lovers-errors@oolong.camellia.org  Sat May 10 00:03:41 1997
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From: Goyra <Goyra@cheerful.com>
To: cube-lovers@ai.mit.edu
Subject: Strange new Rubik puzzle in Java
Date: Sat, 10 May 1997 02:28:38 +0100
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	Those of you with Java browsers may want to
see a new Rubik puzzle I've just posted at

	http://www.iol.ie/~goyra/Rubik.html

It's a dodecahedron sliced on 8 axes. I would not have 
believed that it was possible that you could take the
20  evenly spaced corners of a dedecahedron and find 
8 of them that are ALSO evenly spaced - but there
it is.

					David Byrden



From cube-lovers-errors@oolong.camellia.org  Sat May 10 15:47:13 1997
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From: karen angelli <kangelli@tiac.net>
Subject: Extra-long Rubik's magic rings
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I just ran across a store selling a double long rubik's magic rings (the
flat folding puzzle) that instead 2x4 squares with three rings was 2x8 (I
think)with about six rings.  They were made by matchbox in 1987.  I would
have purchased one, but the price seemed like it might be steep.  Does
anyone know if these are common or can be found elsewhere? Or should I rush
back and buy one before they disappear?  Please let me know.
Pete Reitan



From cube-lovers-errors@oolong.camellia.org  Sun May 11 16:56:07 1997
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From: "Richard W. Pearson, Jr." <rwpearso@ipass.net>
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Subject: Re: Extra-long Rubik's magic rings
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> I just ran across a store selling a double long rubik's magic rings (the
> flat folding puzzle) that instead 2x4 squares with three rings was 2x8 (I
> think)with about six rings.  They were made by matchbox in 1987.  I would
> have purchased one, but the price seemed like it might be steep.  Does
> anyone know if these are common or can be found elsewhere? Or should I rush
> back and buy one before they disappear?  Please let me know.
> Pete Reitan

I'd say they're pretty uncommon.  I've been looking for one for about 5
years now.  Would you mind sending me the address and phone number of
the company that is selling them.  I've also been looking for a "Rubik's
Magic Create the Cube."  It was originally described as a 'Level 2'
Rubik's Magic.  I snapped the strings on mine and haven't seen one
since.

Thanks,
Ricky Pearson
rwpearso@ipass.net


From cube-lovers-errors@oolong.camellia.org  Sun May 11 17:46:25 1997
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From: Aaron Weintraub <aaweint@interlog.com>
Subject: Re: Extra-long Rubik's magic rings
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>I'd say they're pretty uncommon.  I've been looking for one for about 5
>years now.  Would you mind sending me the address and phone number of
>the company that is selling them.  I've also been looking for a "Rubik's
>Magic Create the Cube."  It was originally described as a 'Level 2'
>Rubik's Magic.  I snapped the strings on mine and haven't seen one
>since.

I have one of these that I bought when they originally came out.  I
wouldn't really call it a "level 2" puzzle, as the mechanics are identical
to that of the original Rubik's Magic.  The goal is different, however.
Each plate is divided into different coloured quarters.  The object is to
get both the proper shape - a cube resting on one of it's edges, centred
atop a "platform" of the two other plates - and the proper colour
orientation - the three faces that join in each corner of the cube must
have identical colours in the quadrant at that corner.

-Aaron



From cube-lovers-errors@oolong.camellia.org  Mon May 12 13:39:03 1997
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From: Pete Beck <pbeck@pica.army.mil>
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Subject: Re: Extra-long Rubik's magic rings
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As I recollect the 12 panel Magic Rings was called the Master's Edition. 
Since they have been out of manufacture for quite awhile suggest you buy it
when you see it.

The 8 panel edition has been released by ODDZON and is in some toy stores
along with some other Rubik's items.

As some of you might remember there also was a 4 panel magic sold.  If you
have ever taken one apart you know that any multiple of 4 is possible. 
Awhile back I posted intstructions on CUBE LOVERS for restringing and or
making your own variant.  The panels are just 2 pieces of plastic with the
design sandwiched in bewteen.  They are not glued but held together by the
strings.


Does anybody know where to get I BET YOU CAN"T ?? a variant made with
hexagon panels.



THE FUTURE IS PUZZLING,
BUT CUBING IS FOREVER !!!

Pete, aka JUST PUZZLES


From cube-lovers-errors@oolong.camellia.org  Mon May 12 13:40:54 1997
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From: Wei-Hwa Huang <whuang@ugcs.caltech.edu>
Subject: Re: Extra-long Rubik's magic rings
Date: 12 May 1997 15:47:57 GMT
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"Richard W. Pearson, Jr." <rwpearso@ipass.net> writes:
>> I just ran across a store selling a double long rubik's magic rings (the
>> flat folding puzzle) that instead 2x4 squares with three rings was 2x8 (I
>> think)with about six rings.  They were made by matchbox in 1987.  I would
>> have purchased one, but the price seemed like it might be steep.  Does
>> anyone know if these are common or can be found elsewhere? Or should I rush
>> back and buy one before they disappear?  Please let me know.
>> Pete Reitan

>I'd say they're pretty uncommon.  I've been looking for one for about 5
>years now.  Would you mind sending me the address and phone number of
>the company that is selling them.  I've also been looking for a "Rubik's
>Magic Create the Cube."  It was originally described as a 'Level 2'
>Rubik's Magic.  I snapped the strings on mine and haven't seen one
>since.

It has 12 panels and 5 rings, and was marketed as "Unlink the Rings".
I have one with the original packaging.  They are hard to find;
I only found mine through a very lucky occurence (and paid only $1
for it!)

I am still searching for a "Make the Cube."  I also have a broken one.
Perhaps I should just take the string from one of my normal Magics
and transfer it.


--
Wei-Hwa Huang, whuang@ugcs.caltech.edu, http://www.ugcs.caltech.edu/~whuang/
-------------------------------------------------------------------------------
The cynical poet -- is worst of the worst.
What others are thinking -- he says out loud first.


From cube-lovers-errors@oolong.camellia.org  Mon May 12 21:52:48 1997
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Date: Tue, 13 May 1997 02:50:14 BST
From: David Singmaster Computing & Maths South Bank Univ <david.singmaster@sbu.ac.uk>
To: Goyra@cheerful.com
CC: cube-lovers@ai.mit.edu
Message-ID: <009B42D0.D8685A60.2@vax.sbu.ac.uk>
Subject: RE: Strange new Rubik puzzle in Java

	What Goyra is describing as 'Strange new Rubik puzzle in Java' is
clearly based on the fact that one can inscribe a cube in a dodecahedron
using 8 of the dodecahedron's vertices.  This is pretty well known and one
can probably see versions of it in some of the books on polyhedra.
Adapting a cube to having a dodecahedral appearance was certainly considered
in the 1980s, thoguh I can't remember if anybody ever made them for sale
- e.g Greg Stevens or Jean-Claude Constantin.  I don't have any in my 
collection, so I'd be grateful to hear hpw to get one.
	Incidentally, a 2x2x2 version is being made in Spain in the shape
of Mickey Mouse's head (and perhaps Donald Duck's head).  These are
supposed to be coming on the market here soon.
DAVID SINGMASTER,  Professor of Mathematics and Metagrobologist
School of Computing, Information Systems and Mathematics
Southbank University, London, SE1 0AA, UK.
Tel: 0171-815 7411;  fax: 0171-815 7499; 
email:  zingmast  or  David.Singmaster  @sbu.ac.uk


From cube-lovers-errors@oolong.camellia.org  Mon May 12 23:04:42 1997
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From: David Singmaster Computing & Maths South Bank Univ <david.singmaster@sbu.ac.uk>
To: cube-lovers@ai.mit.edu
Message-ID: <009B42D7.94F5F2E0.2@vax.sbu.ac.uk>
Subject: Rubik's Magic

	Peter Beck says one can make these with any number of panels which is
a multiple of four.  Actual any even number is possible.  I have several
example of  2 x 3.  Actually, there are two examples - the third is the
one with six hexagons.
	Both the  2 x 3 examples were promotional items for magazines, one
in Italy and one in France.  I happened to be in France when the French 
example was attached to a magazine called Super in Jun 1988.  I bought about
a dozen example, but I have no spares left!
	The  2 x 2  was marketed in four forms and one could assemble all
four into a bigger pattern.  However, I've also got three Hungarian versions.
One has religious symbols and comes in a folder with a picture of the Pope
on the front, apparently commemorating the Pope's visit to Hungary or
Austria.
DAVID SINGMASTER,  Professor of Mathematics and Metagrobologist
School of Computing, Information Systems and Mathematics
Southbank University, London, SE1 0AA, UK.
Tel: 0171-815 7411;  fax: 0171-815 7499; 
email:  zingmast  or  David.Singmaster  @sbu.ac.uk


From cube-lovers-errors@oolong.camellia.org  Mon May 12 23:04:11 1997
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From: David Singmaster Computing & Maths South Bank Univ <david.singmaster@sbu.ac.uk>
To: whuang@ugcs.caltech.edu
CC: cube-lovers@ai.mit.edu
Message-ID: <009B42D5.FC6B2820.2@vax.sbu.ac.uk>
Subject: Re: Extra-long Rubik's magic rings

	Several people have remarked about having broken strings on a
version of Rubik's Magic.  When one of mine first came apart, I thought
it would be impossible to get it back together correctly as I thought
there would be some critical weaving of the strings.  However, once
one examines it closely, one sees that no magic is needed.  Simply rethread
the strings along the correct paths and it works.  All one needs is a small
screwdriver to stretch the end of a loop over the corner of a panel.  So
it is much easier to assemble or to reassemble than one initially thinks
and I'd encourage anyone who has a little manual dexterity to remake a
broken one using strings from other ones.
DAVID SINGMASTER,  Professor of Mathematics and Metagrobologist
School of Computing, Information Systems and Mathematics
Southbank University, London, SE1 0AA, UK.
Tel: 0171-815 7411;  fax: 0171-815 7499; 
email:  zingmast  or  David.Singmaster  @sbu.ac.uk


From cube-lovers-errors@oolong.camellia.org  Tue May 13 12:38:16 1997
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From: "Andrew R. Southern" <a.southern@ic.ac.uk>
Subject: Re: Extra-long Rubik's magic rings

At 07:53 12/05/97 -0400, you wrote:
>As I recollect the 12 panel Magic Rings was called the Master's Edition. 
>Since they have been out of manufacture for quite awhile suggest you buy it
>when you see it.
>
>The 8 panel edition has been released by ODDZON and is in some toy stores
>along with some other Rubik's items.
>
>As some of you might remember there also was a 4 panel magic sold.  If you
>have ever taken one apart you know that any multiple of 4 is possible. 
>Awhile back I posted intstructions on CUBE LOVERS for restringing and or
>making your own variant.  The panels are just 2 pieces of plastic with the
>design sandwiched in bewteen.  They are not glued but held together by the
>strings.
>
>
>Does anybody know where to get I BET YOU CAN"T ?? a variant made with
>hexagon panels.
>

I must point out at this point that the magic's stringing pattern actually
revovles around just two patterns, which are equivalent to each other in
some positions.

These patterns actually only require three tiles. Three tiles will not make
a circuit, but they will make a nice line or L-shape. 

For a bit of real(?) excitment(??) you could try to make one out of just two
panels. This is highly possible, as I did it back when I was 12 or 13 in
Senior school. The secret is that you loop one of the "Ligaments" as I used
to call them back around one panel twice. I cannot remember whether or not
this could go around for ever or whether it had a definiate start and end
point, but it certainly confused my classmates.

I also know that it is possible to add just two panels onto an ordinary
Rubik's Magic, creating a 2x5 array, which I don't have to say, is not
exactly divisible by four. This was fully functional, but when it was folded
in half, it did not go into "Loop" or "Tie Fighter", it went into "Fish"
from either side, unless the last two squares were folded in before folding
along the centre line. I called this the "Diabolical Edition" because it was
harder than the Master Edition, and I made about four of them for members of
my old school (Blue Coat, Liverpool).

loop:
!--!
!__!

tie fighter:
\/\/
/\/\

Fish:
\/-\
/\_/

I also created a "master Edition" from Two ordinary magics when someone drew
freehand the "Sandwich Filler" pieces of paper. 

But my Piece de Resistance is the 64-panelled monstrousity that used to take
me an hour to solve, and was a complete work-out as there was so much
to-and-fro ing of the entire magic. I had to use the pictures from 12
magics, and is just an extension of the master editions solution. When it is
in a 32x2 state, it was higher than my (then) best friend, and you require
quite substantial floor space to solve it.

-Andy Southern
(The artist formerly known as the Unofficail Thermo-Fluids Fan Club of the UK).





From cube-lovers-errors@oolong.camellia.org  Tue May 13 15:14:04 1997
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Subject: Re: Strange new Rubik puzzle in Java
Date: Tue, 13 May 1997 20:03:49 +0100
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> From: David Singmaster Computing & Maths South Bank Univ
<david.singmaster@sbu.ac.uk>


> Adapting a cube to having a dodecahedral appearance was certainly
considered
> in the 1980s, thoguh I can't remember if anybody ever made them for sale

	This puzzle is depicted on page 335 of "Metamagical Themas"
by Douglas Hofstadter, which has just come back into print. He says that
it was in Meffert's catalogue way back then, called the "Pyraminx Ball"


							David Byrden



From cube-lovers-errors@oolong.camellia.org  Tue May 13 23:24:09 1997
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From: karen angelli <kangelli@tiac.net>
Subject: 2x6 Rubik's Magics
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Wow, what a response.  
	Yes, you are all correct, the ones I saw are 6x2, not 8x2.  However, as I
now know, almost any number are possible.  I saw the puzzles for sale at
The Games People Play at 1100 Massachusetts Ave, Cambridge, Ma 02138
617-492-0711 (not far from the cube-lovers administrators at MIT) (They are
also available from Puzzletts in Seattle).  The owner of Games People Play
had about five for sale, and also several of the original black background
8panel Magics.  She sells the 12 panel for $20 and the 8 panel for $15.
However, the buyer must beware.  Each of the 12 panel ones I looked at in
Games People play had one broken string each.  I bought one despite the
flaw, because she gave me the phone number for someone who knows how to fix
them, and the $20 price was substantially below the $35 plus s.h. from
Puzzletts.  I had lunch with my Rubiks Magic repair-man today, got a lesson
in Rubiks magicology and now have a fully functional toy.
	According to my sources, the Magics can function with as few as half of
the original strings.  Each string set is double strung for extra strength.
 Accordingly, the thing will still work properly if any one breaks, or if
any number break, so long as both strings on any particular loop both
break.  He suggests removing any broken string as soon as possible so that
it does not get in the way of the other ones and create a cascading loose
loop catastrophe.  
	He happened to have a number of extra loops of fishing line because he
fixes the puzzles for a puzzle mail-order company.  The company told him
that there was a large batch of puzzles made with defective strings.  They
send him the puzzles, and he canabalizes them to make n-1 Magics from n
defective magics.
	He fixes the Magics by wrapping the loop around the same path as the one
path that has only one loop around it.  There are only a couple of rules to
follow: the string paths on one side cross the string paths on the other
side at 90degree angles, and when the two strings from one side pass the
strings from the other side between panels, the two from one side must be
either both outside of the two from the other side, or both inside the ones
from the other side.
	Personally, I've always been too paranoid about my puzzles to abuse them
enough to actually find out how to take them apart.  I also usually
hesitated at spending the money to get several puzzles when one seemed
sufficient.  I guess I need to learn how to live life on the wild side.

'e-ya later, 
Peter Reitan



From cube-lovers-errors@oolong.camellia.org  Tue May 20 13:57:16 1997
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From: Philip Knudsen <philipknudsen@hotmail.com>
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Subject: Triamid
Content-Type: text/plain
Date: Tue, 20 May 1997 07:47:33 PDT

Hi everybody!

I recently purchased a Rubik's Triamid, Matchbox version.
Do any of you know whether that version differs from the new Oddzon release? The 
Oddzon Tangle certainly is different from the Matchbox Tangle.
The leaflet that comes with the new Oddzon Tangle says the following puzzles are 
in the new series:
Tangle, 2x2x2 Mini Cube, Rubik's Cube, Snake, and Triamid.
I'd like to know if they have re-released even more of the old stuff.
None of them are available where i live (Copenhagen, Denmark)
Also, if anyone has a Rubik's Hat they's like to part with, i'd be real 
interested.

Philip K





---------------------------------------------------------
Get Your *Web-Based* Free Email at http://www.hotmail.com
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From cube-lovers-errors@oolong.camellia.org  Thu May 22 16:39:15 1997
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Subject: Re: Triamid
Date: 22 May 1997 18:49:46 GMT
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Philip Knudsen <philipknudsen@hotmail.com> writes:
>I recently purchased a Rubik's Triamid, Matchbox version.
>Do any of you know whether that version differs from the new Oddzon release? The 
>Oddzon Tangle certainly is different from the Matchbox Tangle.

As far as I can tell, the only difference is the Tangle.
(Well, and the colors of the Snake and the Magic.)

>The leaflet that comes with the new Oddzon Tangle says the following puzzles are 
>in the new series:
>Tangle, 2x2x2 Mini Cube, Rubik's Cube, Snake, and Triamid.

I believe the Magic was released in this release as well.

>I'd like to know if they have re-released even more of the old stuff.
>None of them are available where i live (Copenhagen, Denmark)
>Also, if anyone has a Rubik's Hat they's like to part with, i'd be real 
>interested.

Heh heh.  (No, I don't have one.  I do have a Rubik's Maze, though.)


>Philip K





>---------------------------------------------------------
>Get Your *Web-Based* Free Email at http://www.hotmail.com
>---------------------------------------------------------

--
Wei-Hwa Huang, whuang@ugcs.caltech.edu, http://www.ugcs.caltech.edu/~whuang/
-------------------------------------------------------------------------------
The cynical poet -- is worst of the worst.
What others are thinking -- he says out loud first.


From cube-lovers-errors@oolong.camellia.org  Tue May 27 15:51:48 1997
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From: Philip Knudsen <philipknudsen@hotmail.com>
To: cube-lovers@ai.mit.edu
Subject: Tangle & Triamid
Content-Type: text/plain
Date: Tue, 27 May 1997 04:34:47 PDT

Thanks alot for the info on Triamid (no major difference).

Pete Beck asked:

  How is tangle different.  I know it is plastic and the strings are    raised 
but is the puzzle different?

The Oddzon version has only nine pieces, which are double-sided. For these 18 
sides, all pieces from the original tangle, except the six with a straight 
yellow line are used. Of the 9 puzzle pieces, 3 have straight red on both sides, 
3 have a straight green, and 3 a straight purple. The result is a somewhat 
easier puzzle, at least it's solveable without computer aid.

Back to the Triamid: Has anyone ever tried to build a large one out of several 
small?  To build a 4x4 one would need three Triamids to get enough connector 
pieces. The question is, would the puzzle work, or would it be too hard to 
disconnect a 3x3 top from a 4x4 base?
Me, i'm seriously considering buying 2 extra. 

Philip K



---------------------------------------------------------
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From cube-lovers-errors@oolong.camellia.org  Tue May 27 15:52:28 1997
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From: Goyra <Goyra@cheerful.com>
To: cube-lovers@ai.mit.edu
Subject: Java Rubik Gallery now open
Date: Tue, 27 May 1997 19:46:27 +0100
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	Those of you with Java browsers, powerful
PCs and fast Internet connections may want to 
revisit my Rubik Gallery at

	http://www.iol.ie/~goyra/Rubik.html

I have just installed Rubik cubes of all sizes up to 11.
I intend to maintain the Gallery as the world's
largest collection of "Rubik" puzzles, a place where 
you can play with that obscure puzzle you were never
able to find in the shops. Any suggestions as to what 
should go in it next, are welcome.


					David Byrden




From cube-lovers-errors@oolong.camellia.org  Tue May 27 17:37:53 1997
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Date:     Tue, 27 May 97 17:18:18 EDT
From: Nichael Cramer <ncramer@bbn.com>
To: Goyra <Goyra@cheerful.com>
cc: cube-lovers@ai.mit.edu
Subject:  Re:  Java Rubik Gallery now open

>From: Goyra <Goyra@cheerful.com>
>Subject: Java Rubik Gallery now open
>Date: Tue, 27 May 1997 19:46:27 +0100
>
>
>	Those of you with Java browsers, powerful
>PCs and fast Internet connections may want to 
>revisit my Rubik Gallery at
>
>	http://www.iol.ie/~goyra/Rubik.html
> [...]

I freely admit that I tuned in fully expecting to be disappointed.  But this
is really slick.

N


From cube-lovers-errors@oolong.camellia.org  Wed May 28 16:35:19 1997
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Date:     Wed, 28 May 97 8:30:53 EDT
From: Nichael Cramer <ncramer@bbn.com>
To: cube-lovers@ai.mit.edu
Subject:  [gknauth:  Professor cracks Rubik's cube mystery]

[Simply passing along bits --N]


----- Forwarded message # 1:

Date: Wed, 28 May 97 08:13:32 EDT
From: gknauth@BBN.COM
Subject: Professor cracks Rubik's cube mystery

> From: Andy Lee <alee@worldstreet.com>

Professor cracks Rubik's cube mystery

LOS ANGELES (May 27, 1997 5:43 p.m. EDT) - A University of California
computer science professor has solved the long-standing mystery of Rubik's
cube, university officials said Tuesday.

Richard Korf found a way to line up the colored squares of the cube in an
average 18 moves and a maximum of 20, officials said without explaining
exactly how it is done.

Rubik's cube, launched in the 1970s by the Hungarian Erno Rubik, became a
worldwide phenomenon, with people spending hours trying to manipulate it
into color-coordinated rows.

Korf is due to reveal his method at a national conference on artifical
intelligence July 28 in Providence, Rhode Island.

Copyright 1997 Nando.net, Agence France-Presse

----- End of forwarded messages


From cube-lovers-errors@oolong.camellia.org  Wed May 28 17:37:15 1997
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Date: Wed, 28 May 1997 14:33:20 -0700
From: Joe McGarity <joemcg3@snowcrest.net>
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Subject: Solved in 20 moves?
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Forgive me for saying so, but, "Bulls**t"


From cube-lovers-errors@oolong.camellia.org  Wed May 28 17:40:08 1997
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To: cube-lovers@ai.mit.edu
Cc: Nichael Cramer <ncramer@bbn.com>
Subject: Re: [gknauth:  Professor cracks Rubik's cube mystery]
References: <199705281233.IAA05016@life.ai.mit.edu>
From: Mark Atwood <zot@ampersand.com>
Date: 28 May 1997 17:38:41 -0400
In-Reply-To: Nichael Cramer's message of Wed, 28 May 97 8:30:53 EDT
Message-ID: <v64tbnnuou.fsf@colon.dev.ampersand.com>
X-Mailer: Gnus v5.2.40/Emacs 19.31

Nichael Cramer <ncramer@bbn.com> writes:
> 
> ----- Forwarded message # 1:
> 
> Date: Wed, 28 May 97 08:13:32 EDT
> From: gknauth@BBN.COM
> Subject: Professor cracks Rubik's cube mystery
> 
> ...
> 
> Richard Korf found a way to line up the colored squares of the cube in an
> average 18 moves and a maximum of 20, officials said without explaining
> exactly how it is done.
> ...
> 

Is this a new upper bound?

-- 
Mark Atwood       | We must not remind them
zot@ampersand.com | that Giants walk the Earth.


From cube-lovers-errors@oolong.camellia.org  Thu May 29 00:28:22 1997
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Date: Wed, 28 May 1997 15:18:10 -0700
From: Richard E Korf <korf@cs.ucla.edu>
Message-Id: <199705282218.PAA17014@denali.cs.ucla.edu>
To: Cube-Lovers@ai.mit.edu
Subject: rumor control

Dear Cube-Lovers,
   Apparently some work I did recently has gotten badly mangled by the press.  I
have NOT resolved the question of whether or not 20 face turns is the maximum
distance one can get from a scrambled cube.
   What I did is to write a heuristic search program that finds optimal
solutions to arbitrary scrambled cubes.  The algorithm is very different from
the method of Fiat, Moses, Shamir, et al, and seems to be competitive with their
algorithm in terms of time and space.  The current version of my program is
practical for cubes up to 18 moves away from solved.
   Out of 10 randomly generated cubes, one was solved in 16 moves, 3 required 17
moves, and 6 required 18 moves, suggesting that the median optimal solution
length is probably 18 moves.
   A paper on this work will be presented at the National Conference on
Artificial Intelligence (AAAI-97) in Providence, RI in July. I'd be happy to
send a postscript copy of the paper to anyone who is interested, unless there
are a lot of requests, in which case I'll just post it on my web site and put a
pointer here.  In addition, if there is enough interest, I could write a short
summary of the paper for this list. Thanks for your attention.
                            -rich korf



From cube-lovers-errors@oolong.camellia.org  Thu May 29 00:28:49 1997
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Date: Wed, 28 May 1997 19:32:00 -0700
From: Mark Longridge <cubeman@idirect.com>
Organization: Computer Creations
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To: Nichael Cramer <ncramer@bbn.com>
CC: cube-lovers@ai.mit.edu
Subject: Re: [gknauth:  Professor cracks Rubik's cube mystery]
References: <199705281233.IAA05016@life.ai.mit.edu>
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Nichael Cramer wrote:
> 
> [Simply passing along bits --N]
> 
> ----- Forwarded message # 1:
> 
> Date: Wed, 28 May 97 08:13:32 EDT
> From: gknauth@BBN.COM
> Subject: Professor cracks Rubik's cube mystery
> 
> > From: Andy Lee <alee@worldstreet.com>
> 
> Professor cracks Rubik's cube mystery
> 
> LOS ANGELES (May 27, 1997 5:43 p.m. EDT) - A University of California
> computer science professor has solved the long-standing mystery of Rubik's
> cube, university officials said Tuesday.
> 
> Richard Korf found a way to line up the colored squares of the cube in an
> average 18 moves and a maximum of 20, officials said without explaining
> exactly how it is done.
> 
> Rubik's cube, launched in the 1970s by the Hungarian Erno Rubik, became a
> worldwide phenomenon, with people spending hours trying to manipulate it
> into color-coordinated rows.
> 
> Korf is due to reveal his method at a national conference on artifical
> intelligence July 28 in Providence, Rhode Island.
> 
> Copyright 1997 Nando.net, Agence France-Presse
> 
> ----- End of forwarded messages 
Let's say the cube-lovers of the world are skeptical...

Are we talking about q turns or q+h turns?
My own conjecture (which I have kept to myself until now) was that Mike Reid's
12-flip pattern in 24 q turns was the antipode in q turns only. I have no
proof of this fact.
 
It is possible Professor Korf has found a totally new approach to the rubik
problem. Dik Winter (months and months before) never did find any position on
the 3x3x3  which required more than 20 moves in the q+h metric. 
 
Conventional wisdom (using Kociemba type algorithms) was that the god's algorithm
for the standard 3x3x3 cube was intractible.
 
In case case, without more evidence, this news message does not add to the
existing level of cube knowledge. 
 
I'm still waiting and watching for any optimal solutions to the Megaminx 
spot patterns!
 
Perhaps Professor Korf has a mathematical proof. It does seem unlikely that he
sifted through all the possible positions.
 
-> Mark


From cube-lovers-errors@oolong.camellia.org  Thu May 29 00:29:17 1997
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To: cube-lovers@ai.mit.edu
Subject: Professor cracks Rubik's cube mystery
Message-ID: <19970528.222126.9494.2.shaggy34@juno.com>
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From: Josh D Weaver <shaggy34@juno.com>
Date: Wed, 28 May 1997 23:22:16 EDT


What do the skeptics have to say about the 20 move solve?  It was said
that in theory it could be done; but is it really possible?  

Does anyone know how long time wise it took Richard Korf to solve it
using the 20 move method?

I'm just a 15 year old who can solve the cube so I don't know much about
theories or mathematical patterns.  So if someone can explain it to me
that would be great.

If it all that is claims to be, then I can't wait to know how to use the
method. 


From cube-lovers-errors@oolong.camellia.org  Thu May 29 00:30:06 1997
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From: SCHMIDTG@iccgcc.cle.ab.com
Date: Wed, 28 May 1997 23:39:18 -0400 (EDT)
To: cube-lovers@ai.mit.edu
Message-Id: <970528233918.21401a3a@iccgcc.cle.ab.com>
Subject: Re: Solved in 20 moves?

From:	SMTP%"joemcg3@snowcrest.net" 28-MAY-1997 22:02:17.57
To:	SCHMIDTG
CC:	
Subj:	Solved in 20 moves?

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On the subject of a new upper bound for Rubik's cube solution, Joe
McGarity wrote:

>Forgive me for saying so, but, "Bulls**t"

While it's certainly