Re: Helix, Ring, and Bracelet

"marksteere@[EMAIL PROTECTED]
" <marksteere@[EMAIL PROTECTED]
> writes:

> There are four types of closed paths one can form on a torus:
>   1. R-Helix - Right handed helix
>   2. L-Helix - Left handed helix
>   3. Ring - Non-helical path surrounding circular axis
>   4. Bracelet - Non-helical path surrounding linear axis

There are also closed paths that do not encircle any axis.

> Winning conditions for Black: Form a ring, an r-helix, or any
> combination of two or more closed path types.
>
> Winning conditions for White: Form a bracelet, an l-helix, or any
> combination of two or more closed path types.

This could work (if you restrict to the above four kinds of closed
paths).  Have you proven that it has the desired property?

In any case, the winning criteria are getting a tad complex.

	Torben