well...considering that there are 6 colors, there are exactly 21 different ways to arrange them in a single row. because this is not like tick tack toe, and direction matters, that would be 4x21 for the different sides to start with using
ABCDEF
DCDEFA
CDEFAB
DEFABC
EFABCD
FABCDE
with each letter representing a different colour, so that they don't cross. That means that you can automaticly rule out all combinations except for the reaining 84...so pretty much still hard as f$%k :)
I've seen a solution of it and it seems the base isn't a Latin square: two rows have repeating heights (opposite to your review at 0:57). That's why it can have solution(s) of different colours in each row and line.
So the goal is to make sure that every colour is in all lines. A very interesting puzzle. Do the diagonals also have to match all 6 different colours?
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well...considering that there are 6 colors, there are exactly 21 different ways to arrange them in a single row. because this is not like tick tack toe, and direction matters, that would be 4x21 for the different sides to start with using
ABCDEF
DCDEFA
CDEFAB
DEFABC
EFABCD
FABCDE
with each letter representing a different colour, so that they don't cross. That means that you can automaticly rule out all combinations except for the reaining 84...so pretty much still hard as f$%k :)
DerpyTheGunslinger 1 month ago
Nice :)
singingbanana 5 months ago
Or a row/line with two 1 and another with two 0?
Horinius 6 months ago
@Horinius No. The base is a Latin square.
TyYann 6 months ago
@TyYann
Really strange and unbelievable. Others confirm that it's not:
jaapsch (.) net / puzzles / 36cube (.) htm
iohelix (.) net / blog / 2011 / 01 / 36-cube /
Horinius 5 months ago
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.
Horinius 6 months ago
@Horinius I just checked again. The base IS a Latin square. Otherwise it would be easy to do with backtracking...
TyYann 6 months ago
@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?
Horinius 6 months ago
Thank you again for another great review!
MrAssHawl 6 months ago
Congratulations on cracking our 36 Cube puzzle - thank you for sharing your review with other puzzle-lovers!
ThinkFunInc 6 months ago
@ThinkFunInc Check my reviews on Rush Hour and Safari Rush Hour ;)
TyYann 6 months ago
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?
MGSGeneral 6 months ago
@MGSGeneral No, the diagonals don't have to have the 6 colors. Only rows and collumns.
TyYann 6 months ago