Thinkfun 36 Cube Review

That thing is hard, looking impossible. Beautiful toy from Thinkfun.
Euler's 36 officers (not soldiers) problem:
http://en.wikipedia.org/wiki/Thirty-six_officers_problem
Background music by Bertrand Laurence:
http://www.bertrandlaurence.com
with permission.
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[Horinius]

Or a row/line with two 1 and another with two 0?

[TyYann]

@Horinius No. The base is a Latin square.

[Horinius]

I've seen a solution of it and it seems the base isn't a Latin square: two rows have repeating heights (opposite to your review at 0:57). That's why it can have solution(s) of different colours in each row and line.

[TyYann]

@Horinius I just checked again. The base IS a Latin square. Otherwise it would be easy to do with backtracking...

[MGSGeneral]

So the goal is to make sure that every colour is in all lines. A very interesting puzzle. Do the diagonals also have to match all 6 different colours?

[TyYann]

@MGSGeneral No, the diagonals don't have to have the 6 colors. Only rows and collumns.

[Horinius]

@TyYann

Really strange and unbelievable. Others confirm that it's not:

jaapsch (.) net / puzzles / 36cube (.) htm

iohelix (.) net / blog / 2011 / 01 / 36-cube /

[singingbanana]

Nice :)

[Horinius]

@TyYann

Oh!? That would be impossible. 6-order orthogonal Latin square cannot exist!

I don't have this toy so I have to ask: is the base (the grey part) fixed? I mean, are those grey towers fixed in place?

Then, isn't there a row (or line, according to what orientation you hold it) with two 5 and another row/line with two 6?

[TyYann]

@ThinkFunInc Check my reviews on Rush Hour and Safari Rush Hour ;)