Message #2077

From: schuma <>
Subject: Re: MagicTile, Topology of MT IRP {5,5} 8c F 0:0:0.85
Date: Wed, 25 Apr 2012 05:40:45 -0000

Please check this macro:

It’s a [1,1] commutator of two adjacent polygons as a macro. If these polygons do not form the pairs that I mentioned earlier today, the commutator is a 3-cycle. If the reference point is chosen so that the polygons do form a pair, the commutator is two 2-cycles (for example, white, yellow, white’, yellow’). And in the solved state, one of the 2-cycles is swapping identical pieces. So the two 2-cycles look just like a single 2-cycle. In the near solved stage, this algorithm can really be used as a 2-cycle.


— In, Roice Nelson <roice3@…> wrote:

> I just had a thought…it would be extremely interesting if we could find a
> macro on an asymmetrically colored puzzle that did two *different but useful
> * things depending on where it was applied. Can you imagine a macro that
> somehow could do both a 2-cycle and a 3-cycle. Now that would be cool!
> seeya,
> Roice