Thread: "MagicTile Eucl torus {6,3} 16 e200"

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Sorry. I can't answer. Small MT with no 3-ycles ? For me the majority of s=
mall MT's (color number <=3D6) are untreatable.
Thanks for your interest.
Kind regards
Ed


----- Original Message -----=20
From: Melinda Green melinda@superliminal.com [4D_Cubing]=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Sunday, September 29, 2019 5:22 AM
Subject: Re: [MC4D] MagicTile Eucl torus {6,3} 16 e200


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Dear Ed,

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

Best,
-Melinda



On 9/28/2019 4:38 AM, 'Eduard Baumann' ed.baumann@bluewin.ch [4D_Cubing] =
wrote:



Fascination with MagicTile an no end!=20

MagicTile "Eucl KB {6,3} 16 e200" has a special interest. With 16 colou=
rs it is big enough to force parity considerations.=20
In fact I have done about 5500 moves in 10 days when I detected a parit=
y problem which forced me to restart!

If after scrambling, where all parts move, you put attention only to th=
e color neighbourhoods then you can realise an implicit shift of the whole =
which impact the parity !=20

The solution is that you bring each part exactly (absolutely) at his ho=
me 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 tha=
n the very clever Micheal Gottlieb.




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