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Article #2759

Re: Rubik's cube designs

#2759
From: Hana Bizek
Date: Thu, 20 Jan 2000 00:00
59 lines
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Willem-Jan Monsuwe wrote:
> 
> )Thank you. And they can be done because I have done them -all of them -
> )by comventionally twiddling the cobes. Needless to say, one should be
> )able to solve the Rubik's cube completely as a prequisite. So far I am
> )failing in my search for people who can do this type of thing.
> )Hana a kostky
> 
> You should also be able to duplicate a cube.  Interesting challenge,
> that:  Scramble a cube, give each contestant a solved cube, and let
> them recreate the scrambled cube.
>
That brings me to constructing individual patters on a cube. People do
this, and you can find such patterns on the web.  This is the first step
of a simple, non-refined design algorithm. Since I cannot memorize
things well, I have developed an algorithm to meet these needs of as
little rote as possible.
> Anyhow, I looked at the designs on your page, and I can safely say that
> if I ever have the money to blow on it, I'll go out and buy a couple
> dozen cubes to make designs with.
> 
For a minimum design, you need 8 cubes. 27 cubes is better. You can go
higher, but it becomes more expensive.
> I already have an idea for the first design I'll make: A worm, i.e.
> a signle line which walks around the entire cube surface.
> (Would make an interesting puzzle in itself to fit the cubes together..)
The second easy step of the unrefined design algorithm is to do just
that. And yes, it IS a puzzle in itself. I call it the color control.
Color control makes the  design algorithm three times as complex as the
solution algorithm. But it has to be done, otherwise yoou have no
design.
> Would be even nicer if the lines also walk around inside surfaces, so
> that when you remove a cube, you still have one line..

I found out that some of the links in http://cube.misto.cz will give you
error messages. You see, I got these files on the web and they have
migrated. The most serious such migration occurred in a file, where I
have 3 designs. I asked the owner, Jiri Fridrich, to put those on the
web, before I obtained the cz* site. They have changed his server. Look
at http://www.binghamton.edu/fridrich/hana1.html and click on Jarmila
design. It might give you some tips on whaat you want.
> 
> By the way, do your designs also have an internal structure ??
> 
Noi, not offhand. But the designs' interior has not been neglected.You
can create a "design within a design. Or you can set a certain criterion
and investigate the design's sytmmetry. Rhis is one if the subproblems
of the design problem. 
The design priblem has ramifications in fuelds in science and math. I
know it sounds strange, but it spans fractal geometry and parity.
Hana a kostky
> SaSW,
> --
> Willem (at stack dot nl)
> Disclaimer: I am in no way responsible for any of the statements
>             made in the above text. For all I know I might be
>             drugged or something..
>             No I'm not paranoid. You all think I'm paranoid, don't you !
> #EOT
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From: Hana Bizek <hbizek@ameritech.net>
Subject: Re: Rubik's cube designs
Date: 2000/01/20
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