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 Post subject: Four subgroups of the 3x3x3Posted: Thu Nov 03, 2011 8:24 am

Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
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.

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 Post subject: Re: Four subgroups of the 3x3x3Posted: Thu Nov 03, 2011 8:37 am

Joined: Thu Dec 31, 2009 8:54 pm
Location: Bay Area, California
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.

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Prior to using my real name I posted under the account named bmenrigh.

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 Post subject: Re: Four subgroups of the 3x3x3Posted: Fri Nov 04, 2011 12:29 am

Joined: Tue Dec 09, 2008 1:05 am
I think you have to explain the variations. The cube on the right is Oskar's?

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 Post subject: Re: Four subgroups of the 3x3x3Posted: Fri Nov 04, 2011 1:56 am

Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
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

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 Post subject: Re: Four subgroups of the 3x3x3Posted: Sun Nov 06, 2011 12:51 am

Joined: Mon Jun 30, 2008 8:38 pm
Location: Russia
very good collection!

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