Four subgroups of the 3x3x3

Andreas Nortmann · **Posted:** Thu Nov 03, 2011 8:24 am

Hi,

I concieved the idea for this series ca. 5 years ago but I had to wait until this year to get the first entry (except the 3x3x3!). During the DCD I purchased the other two needed puzzles from Oskar and TomZ.
Thank you two.

bmenrigh · **Posted:** Thu Nov 03, 2011 8:37 am

Looks like you have

G0 = <L, R, F, B, U, D>

G1 = <L, R, F, B, U2, D2>

G2 = <L, R, F2, B2, U2, D2>

G3 = <L2, R2, F2, B2, U2, D2>

I think you're ready to solve via Thistlethwaite's algorithm.

clauswe · **Joined:** Tue Dec 09, 2008 1:05 am

I think you have to explain the variations. The cube on the right is Oskar's?

Andreas Nortmann · **Posted:** Fri Nov 04, 2011 1:56 am

bmenrigh got it and even made a very clever connection. Very good.

We have here:
1. An ordinary Rubiks Cube. 90°-moves are allowed on all three axis.
2. The "Limited to 180° on one axes" lately presented by TomZ.
3. grigr's Slim Cube: A 3x3x3 which allows halfturns and 90°-moves on one axes.
4. Oskar's HalfTurnCube. Purchased during DCD. Allows only 180°-moves.

In other words:
90-90-90
180-90-90
180-180-90
180-180-180

Andreas

grigr · **Joined:** Mon Jun 30, 2008 8:38 pm **Location:** Russia

very good collection!
:lol:

Four subgroups of the 3x3x3

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