In a standard 3x3 tictatoe there are 8 distinct possibilities to create “three in a row”
3 horizontal, 3 vertical and 2 diagonal.
How many ways are there in a threedimensional 5x5x5 tictactoe?
How about 6x6x6 ?
It turns out the method for 5x5x5 can very easily be extended to 6x6x6. The numbers are the same, there are just more.
Layers 1,2,5,6 each total 356
Layers 3,4 each total 552
Total of layers 2528
Half of this
1264It should be easy to give a general formula from here.

Posted by Jer
on 20141023 10:05:28 