Message #2906

From: Melinda Green <melinda@superliminal.com>
Subject: Re: [MC4D] RE: MPUltimate 1.5
Date: Thu, 23 Jan 2014 03:01:39 -0800

On 1/23/2014 2:48 AM, andreyastrelin@yahoo.com wrote:
>
>
> 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…
>

Because after the singularity, everybody will be able to solve it? ;^)
And just how long do you expect until then?

> 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 on e
> is the Loyd’s 15 game :) ).
>

4^2? As in 4x4x1? That’s an odd choice. Why is it a favorite of yours?
And do you have a non-rectangular favorite?