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Two Colors

This page shows solutions when there are just two colors.
In this case, the results are complete: there are 63 solutions.

As has long been known, there is just one solution with all diamonds.
There are 10 more with a single 3+1 piece as the lone diamond.
The remaining 52 are all squares.
Except in the first case, it is taken that the solids are squares,
although they could be considered as either in all cases.