Message #3483

From: Melinda Green <>
Subject: Re: [MC4D] New permutation puzzles in mind
Date: Sun, 24 Jul 2016 17:34:16 -0700

Don Hatch has written a software solution
<> to ALL 2^d and 3^d
puzzles with a layered approach a little like you describe though it
uses only a couple of simple algorithms since that’s all that is needed.
His input format is especially elegant and seems to relate to your next

Regarding Menger cubes, have you seen this
<>? We talked about
it on the list when it first appeared. We wondered whether it could be a
design for a real fractal twisty puzzle but I don’t think we came to any

Do try Magic Tile. It is special in that it is as much a work of art as
it is a puzzle engine. I can easily become mesmerized watching it

On 7/21/2016 2:02 PM, [4D_Cubing] wrote:
> I been wondering that a Rubik’s Cube with more than 7D would not be
> difficult but tedious to solve. If it ever gets created whether you
> see pieces or stickers I have come up with two ideas to make it more
> fun. One is to change the objective of the game and rather than trying
> to solve it users find commutators for each d-dimensional Rubik’s Cube
> in the program. It would also be nice to have something I call
> commutator bank where everyone can share their commutators and as a
> result it becomes easier to find the most efficient commutators.
> Another way to make it less tedious would be to change it to a level 1
> Merger sponge in higher dimensions. For that all you have to do is
> leave the two types of pieces with the highest colors. So in 5D all
> you work with is 4 and 5 color pieces.
> Another idea that I came up with is a level 1 of a 3x3x3 or even a
> level 2 Merger sponge of a 9x9x9 Rubik Cube. I wonder if the number of
> possible states would increase if you can can tw irl one 2c piece in
> the level 1 of a 3x3x3 so that you change the position of the two
> colors with each other. If the number of possible states decrease with
> this new twirling move it means the puzzle becomes easier to solve and
> that is not what I want.
> Anyways, those are just random thoughts I been having and I do not
> know if those ideas are good or bad. Maybe I will try Magic Tile but I
> like n-cubes the most.