Message #4233

From: Eduard Baumann <>
Subject: Re: [MC4D] MagicTile Eucl torus {6,3} 16 e200
Date: Sun, 29 Sep 2019 13:20:12 +0200

Sorry. I can’t answer. Small MT with no 3-ycles ? For me the majority of small MT’s (color number <=6) are untreatable.
Thanks for your interest.
Kind regards

—– Original Message —–
From: Melinda Green [4D_Cubing]
Sent: Sunday, September 29, 2019 5:22 AM
Subject: Re: [MC4D] MagicTile Eucl torus {6,3} 16 e200

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 &quot;Eucl KB &#123;6,3&#125; 16 e200&quot; has a special interest. With 16 colours it is big enough to force parity considerations. <br>
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.