Message #4232

From: Melinda Green <>
Subject: Re: [MC4D] MagicTile Eucl torus {6,3} 16 e200
Date: Sat, 28 Sep 2019 20:22:25 -0700

Dear Ed,

That’s a fascinating report. I believe I remember you telling us of a small MT puzzle that you found particularly difficult because no 3-cycles are possible. Do you remember which that was? Also, which other small MT puzzles do you think are particularly difficult for their size?


On 9/28/2019 4:38 AM, ‘Eduard Baumann’ [4D_Cubing] wrote:
> Fascination with MagicTile an no end!
> MagicTile "Eucl KB {6,3} 16 e200" has a special interest. With 16 colours it is big enough to force _parity_ considerations.
> In fact I have done about 5500 moves in 10 days when I detected a _parity problem_ which forced me to restart!
> If after scrambling, where all parts move, you put attention only to the color neighbourhoods then you can realise an _implicit shift of the whole which impact the parity_ !
> The solution is that you bring each part exactly (absolutely) at his home position!
> If scrambling would include view changements then I think the puzzle is almost impossible to solve.
> I bring home each type of parts in a certain order and I do strictly _no preassembling_. This is the reason that I need about 3 times more moves than the very clever Micheal Gottlieb.