Message #2481

From: Eduard <baumann@mcnet.ch>
Subject: MagicTile Solving
Date: Mon, 12 Nov 2012 22:01:33 -0000

Solving of MT hyp {8,3} 12 F 0.67:0:0 —– || 11/10/2012 || 1508
Solving of MT hyp {8,3} b12 F 0.67:0:0 —– || 10/12/2012 || 2480

Remark:

"b12" is more difficult than "12".

After 1807 twists I was left with a single corner swap (=:SCS). single
corner swap
<http://wiki.superliminal.com/wiki/File:Single_corner_swap_in_MT_hyp_8-3<br> _b12_F.PNG>

Wow! In the simpler variant "12" instead of "b12" I had the chance (50%)
to avoid the parity problem. A SCS is possible because the face turn
concerns an even number of corners and edges. This allows an SCS
combined with a single edge swap (=:SES). The SES can be hidden because
there exists edge pairs with equal colors.

To repair the parity I needed 543 extra twists ! corner 3cycle
<http://wiki.superliminal.com/wiki/File:Single_corner_3cycle_in_MT_hyp_8<br> -3_b12_F.PNG>

The 673 twists for an SCS can be extracted from my log file.

New ranking:

  1. Ed 206

  2. Nan 146

  3. Andrey 73

  4. Damjan 40

  5. Melinda 17

  6. Zhao 9

  7. Roice 2