# Message #2077

From: schuma <mananself@gmail.com>

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:

http://games.groups.yahoo.com/group/4D_Cubing/files/Nan%20Ma/IRP55_23.xml

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.

Nan

— In 4D_Cubing@yahoogroups.com, 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

>