Message #3048

From: Melinda Green <>
Subject: Re: [MC4D] 4.26273802 * 10^226929
Date: Thu, 25 Dec 2014 15:29:30 -0800

Thank you for calculating the permutations, Andrey. That’s the largest
number of positions I recall seeing for any twisty puzzle. It’s so large
that I really don’t know how to get my head around it.

What is the largest puzzle that has been solved? I have lost track. Will
anyone ever solve the 5^7? I don’t know but I’ve learned never to bet
against the determination of twisty puzzle enthusiasts!

I’d also like to note that the 8^4 has recently been solved. His name
is David Cohoe, and he declined to join the group and announce it for
himself, so I want to call out his very impressive accomplishment.
Congratulations David!


On 12/25/2014 5:17 AM, [4D_Cubing] wrote:
> … is the number of different positions of 5^7 cube. This cube has 28
> different kinds of pieces. Pieces of 8 kinds have unique positions in
> the solved cube, and pieces from other 20 kinds can be swapped when
> they belong to the same face (that may have from 2 to 6 dimensions). 6
> groups (1C pieces) have no additional constraints, and other 14 have
> one constraint (parity of total orientation of pieces). Only
> constraint for side 6C pieces and for 7C is the parity of
> permutations, central 2C have constraint for orientations, and 4 other
> groups (central 3C,4C,5C and 6C) have both constraints.
> Merry Christmas!