Message #1557

From: schuma <>
Subject: Re: {6,3}, 3 layers, factor=1.2, 9 and 16 colors solved :)
Date: Mon, 14 Mar 2011 08:04:17 -0000


I just finished my {6,3} 9 colors, 3 layer factor = 1.29903810567 (the sweet spot Roice provided). For the edges, I used a 10-move commutator for 3-cycle, which is not too bad. It’s actually easier than I expected yesterday. I notice you said your 3-cycle is 22-twist but re-orientation is 10-twist. That’s a little weird. For me re-orientation is usually two 3-cycles.


— In, "Andrey" <andreyastrelin@…> wrote:
> 16 colors was easy. When I understood what is the actual role of small triangles, first stage (stars around centers, then corners) was smooth enough, and then simple 4-twist commutators were all I need to resolve edges. I even haven’t needed special operation for re-orientation of edges :)
> With 9 colors first stage was equally easy, but edges are too much connected. The best thing that I could develop was 22-twist commutators for 3-cycle of edges and 10-twist for re-orientation of the couple of edges. And I had to remember them in normal and mirrored forms in all orientations of the plane. Terrible…
> Anyway, results are 1254 twist for 16 colors and 1630 for 9 colors.
> Nice puzzles!
> Andrey