From cube-lovers-errors@mc.lcs.mit.edu Mon Aug 31 17:11:38 1998
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Date: Sat, 29 Aug 1998 20:25:01 -0500
From: Hana Bizek
Reply-To: hbizek@ameritech.net
To: cube-lovers@ai.mit.edu
Subject: Re: Depicting a cube
References: <006a01bdd226$d0495920$551a2bcb@mercury>
Bill Webster wrote:
>
> If static, generated images are acceptable, (i.e. if the pattern is more
> important to your sculpture than its physical realisation in plastic),
Oh no! Please remember that those are Rubik's cubes. Their "physical
realization" is usually that they are stacked together to form larger
cubes. If *that* was all to the design problem, I wouldn't have the
nerve to make a posting to the cube-lovers msiling list. Some of its
members are first-class mathematicians.
I feel that an explanation of what I call the design problem is in
order. Ther goal of this problem is to create, by conventional cube
manipulation, a composite pleasant geometrical design on a set of
Eubik's cubes. The basic algorithm consists of three simple steps:
1} construct patterns on individual cubes
2} make sure that the colors match properly from cube to cube {color
control}
3} stack the cubes together.
You start with a set of solved cubes. If you have scrambled cubes, you
need to solve them. That is just one excellent reason why you *must*
solve the Rubik's cube comopletely. Being able to solve only one side is
woefully inadequate.
Don't forget color control. Without it you don't have a design. This
unavoidable aspect of the design problem further complicates the design
algorithm. It is a little bit like chess. You try to consider two or
three moves ahead of your opponent to achieve a winning strategy..,. or
create a viable design from a set of Rubik's cubes.
The last step is easy. It is sort of like a three-dimensional jigsaw
puzzle. The patterned cubes you constructed are part of this jigsaw.
Here, in a nutshell, is a description of the design problem. Please,
get our your Rubik's cubes and start twiddling.
Good luck, Hana