Message #2905

Subject: Re: [MC4D] RE: MPUltimate 1.5
Date: Thu, 23 Jan 2014 02:48:16 -0800

3C stage of 120Z is solvable without extra computer assistance! It took from me two parity correction steps (one was flipping of 12 cells and the second - flipping of 40 cells, but some of them have been flipped twice). Every correction pushed me back to the middle of 2C stage and I had to go all the way to the end of 3C to investigate current situation. And there was a lot of pictures of different layers of 120-cell with descriptions of "polar transformation"…
So now I’m sure that whole 120Z is solvable too, and that we’ll see 3 or 4 human solves of it until the Singularity…
What puzzles me now is the flips counter: it shows odd number of flips. Each flip makes 15 transpositions of 3C, and 1C pieces are fixed, so there can’t be sequence of odd length that returns all 3C pieces in place. Probably it’s some bug in the program.

As for list of puzzles - it is short: 4^2, 3^3 and 3^4 (first one is the Loyd’s 15 game :) ).