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Cube facelets codes
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esti
Hodge Conjecture
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#1
Cube facelets codes
A sequence of cubes is given ,each containing a color pattern (see the attach).

Below each cube there are two codes.
1) Pattern code that indicates the arrangment of the pattern on each cube.

2)Transition code that indicates the changes in the patterns between adjacent elements.

Determine logic behind the transition codes and find the unique pattern code that completes the sequence and matches last transition code.


Have fun
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PostPosted: Thu Jan 19, 2006 7:58 pm
Hexaditidom
Riemann Hypothesis
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#2
This looks like a mensa Shocked
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PostPosted: Fri Jan 20, 2006 12:31 am
esti
Hodge Conjecture
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#3
A little help
Hexaditidom wrote:
This looks like a mensa Shocked


Maybe just looks like Alien Wink

Ok,with regard to the pattern code,it's a quite trivial.
3 shown sides of each cube can be viewed as 3 Cartesian planes with 3X3 facelets elements.
"Rows" are denoted by letters{A,B,C,D,E,F,G,H,I} and "italics" by numbers {1,2,3}.
In that way every facelet element has a unique coordinate.
Of course,overall pattern codes are given in increasing alphanumerical order.

Figuring out the transition code logic is another fish in a pond.
Leaving that part for brainteasers aficionados' entertainment.
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PostPosted: Fri Jan 20, 2006 9:35 pm
JesusFreak197
Navier-Stokes Equations
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#4
Yeah, I had figured that out, but can't get the other code without some thought. I'm not exactly sure how to approach it, so I'll leave that up to someone else.
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PostPosted: Fri Jan 20, 2006 10:29 pm
esti
Hodge Conjecture
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#5
Even more help
Any mathematicians that are puzzlers at the same time on this subforum?

Smile
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PostPosted: Sun Jan 22, 2006 10:02 pm
Last edited by esti on Tue Aug 08, 2006 7:48 pm; edited 1 time in total
JesusFreak197
Navier-Stokes Equations
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#6
Yeah, when I first saw it, but I can't think of a relationship.
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"For I am not ashamed of the gospel of Christ, for it is the power of God to salvation for everyone who believes." - Romans 1:16a
\binom{i}{u}, Pikachu!
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PostPosted: Mon Jan 23, 2006 2:46 am
gopherhole112
Poincare Conjecture
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#7
Transition code
Let the top be side A, the left be side B, and the right be side C. Let the ordered triple (A_n,B_n,C_n) be the number of red squareson sides A, B, and C respectively in the n^{th} stage. Then the transition code under the k^{th} stage is (\left|A_k-A_{k-1}\right|,\left|B_k-B_{k-1}\right|,\left|C_k-C_{k-1}\right|). As for the last one. It's going to have one block on the left side (side B), but I can't figure out where. It won't be in the center, and it won't be on a corner, but that's all I can figure out.
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PostPosted: Sun Feb 05, 2006 9:23 pm
JasonGawker
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#8
Hi
Hey all

Mmmm. That's a very interesting problem. It does have a lot more to do with puzzles and even encryption than maths itself. Besides that, we all like to play a bit and for us math problems are our fun Wink Speaking of which, I recommend this place for finding great and fun math and non-math problems, that can enrich your world and just be hell of a lot of fun.

Best, Smile
Jason

PostPosted: Thu Apr 03, 2008 4:17 pm
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