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April 8th, 2017, 02:18 AM   #1
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Latin Cube

Hi,

I made a puzzle game called Cubicks. When you finish the puzzle you get a result like this:



Making the puzzle game cost me 9 months of free time, but I found it easier than solving the problem how many Latin cubes there exist.

A Latin square is a square like a Sudoku where in every row and in every column you see the numbers 1 to 9 just one time. A Latin cube is more or less the same: In all rows and columns you find all the colors red, yellow, green and blue.

You might go to Cubicks or to the YouTube movie Cubicks to get more info about a Latin Cube or Cubicks.

I know that there are 576 Latin squares (4 x 4). But again, my question is: how many Latin cubes (4 x 4 x 4) are there?

Marcelo
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