## Onesided Polarized Pentominoes

Here are the 35 pieces packed in five 5x7 rectangles.

We can look for combined 1, 3 and 5-fold models of the pentominoes.
For all but the I-pento the construction is possible. For the I-pento I think, we
can't get a solution, but perhaps I'm wrong.
With some sets of rectangles it should be also possible
to make 5-fold replicas of the heptominoes.

Starting with a 15x15 square we can choose the position of two 5x5 square holes
and try to solve the puzzle. Which positions are promising?

Using a little house as the basic cell you get a physical representation of the pieces.
Is it possible to color the pieces with five colors so that you can make a solution whith
five same colored rectangles, and another solution where pieces of the same color don't touch?