Message #3393

From: Sid Brown <synjanbrown@gmail.com>
Subject: Re: [MC4D] Re: Cube puzzles and math
Date: Mon, 27 Jun 2016 15:49:49 +0100

Andrew,

no other operation, i just changed the symbol so not to be confused with
kleene star, i will use • for the operation followed by in the language
consisting of moves. It is not the same as group joel mentions as that is a
language of configurations of a rubiks cube and the operation is a move;
they are cast-able to one another but they are by no means identical.
"Bonjour" is not identical to "Hello" even though they pretty much mean the
same thing.

Does this clear up the confusion?

Regards,
Sid

On 26 June 2016 at 20:57, apturner@mit.edu [4D_Cubing] <
4D_Cubing@yahoogroups.com> wrote:

>
>
> Sid,
>
> What is the other binary operation you are using to define a ring from the
> Rubik’s Cube? Without one, the appropriate mathematical object is a
> nonabelian group, since every word (sequence of moves) on the Rubik’s Cube
> has an inverse. This is the exact same group that Joel mentioned before.
> Each sequence of moves defines a permutation of the stickers of the Rubik’s
> cube, which correspond to the elements of the group as Joel mentioned it.
>
> Cheers,
> Andrew
>
>
>