Message #1485

From: Eduard Baumann <baumann@mcnet.ch>
Subject: Re: [MC4D] Magic Tile - 3 colors, 7 layers solved.
Date: Fri, 04 Mar 2011 16:25:05 +0100

All 3-color puzzle are equivalent you say. Which one have you solved with 109 twists? Hexagonal?
Ed

—– Original Message —–
From: Andrey
To: 4D_Cubing@yahoogroups.com
Sent: Thursday, March 03, 2011 8:35 AM
Subject: [MC4D] Magic Tile - 3 colors, 7 layers solved.

There are 5 different 3-color puzzles that are implemented in Magic Tile, but they all are the same and equivalent to "hemi-cube" - a figure with 1 corner, 3 edges and 3 faces. As far as I know, it is the only nonorientable puzzle that is implemented for now.
Everybody can made it himself in material world: take Rubik’s cube, paint it in 3 colors and always do twists in pairs - rotate opposite faces in the same direction.

I don’t remember if I solved it before. May be yes. It’s very interesting
puzzle: it is nonorientable, very dense and has strange behaviour of pieces.
There may be parity problems on every layer: if you solve layer from inside,
you may find that two "diagonal" stickers are swapped, and you have to swap a
couple of "side" stickers and then restore them by "even" operations.

Result is 109 twists. It could be much better (below 20?), but I’ve solved it
by intuition only.

Andrey