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 Post subject: 6X6X6 possible combinations
PostPosted: Thu Jul 07, 2005 5:23 pm 
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Joined: Mon Jun 07, 2004 4:29 pm
Location: Greece
Hi,

I was wondering about the possible combinations on an 6x6x6 cube?
It must be a huge number...
Any idea?

Thanks


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 Post subject: Re: 6X6X6 possible combinations
PostPosted: Thu Jul 07, 2005 5:33 pm 
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Joined: Tue Oct 07, 2003 10:00 pm
157152858401024063281013959519483771508510790313968742344694684829502629887168573442107637760000000000000000000000000

You can see Chris's general forumula here:
http://www.speedcubing.com/chris/cubecombos.html

And I once wrote a program called "RubiksCubeCombinations" that you can find in the "files" section of the speedcubing yahoo group and which I used it to compute the above number:
http://games.groups.yahoo.com/group/spe ... cube/files


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 Post subject:
PostPosted: Fri Jul 08, 2005 11:59 am 
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Joined: Tue Oct 09, 2001 6:14 am
Location: Orange County, CA, USA
1.572 * 10^116

That's pretty big... Compare it with a few others:

2.199 * 10^82 - Dogic
2.8xx * 10^74 - 5x5x5
1.007 * 10^68 - Megaminx/Supernova (12 color)
7.4xx * 10^45 - 4x4x4
7.2xx * 10^34 - Alexander's Star
1.772 * 10^23 - Rubik's supercube (picture cube)
4.325 * 10^19 - 3x3x3
8.2xx * 10^18 - Octahedron
4.0xx * 10^8 - Rubik's Domino (3x3x2)
7.6xx * 10^7 - Pyraminx
1.9xx * 10^7 - Dino Cube
3.7xx * 10^6 - 2x2x2
3.1xx * 10^6 - Skewb

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 Post subject:
PostPosted: Fri Jul 08, 2005 4:26 pm 
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Joined: Sat Apr 22, 2000 2:51 am
Location: New Ulm, Minnesota, USA
Jin H Kim wrote:
1.572 * 10^116

That's pretty big... Compare it with a few others:

2.199 * 10^82 - Dogic
2.8xx * 10^74 - 5x5x5
1.007 * 10^68 - Megaminx/Supernova (12 color)
7.4xx * 10^45 - 4x4x4
7.2xx * 10^34 - Alexander's Star
1.772 * 10^23 - Rubik's supercube (picture cube)
4.325 * 10^19 - 3x3x3
8.2xx * 10^18 - Octahedron
4.0xx * 10^8 - Rubik's Domino (3x3x2)
7.6xx * 10^7 - Pyraminx
1.9xx * 10^7 - Dino Cube
3.7xx * 10^6 - 2x2x2
3.1xx * 10^6 - Skewb


If you want to get technical just on sequential movement alone then Rubik's ZigZaw is not the answer but it does have 5.8*10^120 combinations. So that should count for something. Right?!?!?! :wink:


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