## Diagonally Polarized Pentominoes

Here are the pieces packed in two 5x10 rectangles.

A 4x25 rectangle is possible as well.

All **5-fold replicas of the tetrominoes** can be constructed and we can
look for **combined 2-fold and 4-fold copies of the pentominoes**.
A solution can be found for all pieces except for the x-pentomino.

Unfortunately there is no jagged square to hold all pieces but there is
a solution for the 5x11 jagged rectangle and a 7x7 jagged square
with 19 or 17 pieces respectively. I like the pattern with three or eight
joined squares very much especially if you use the rhombic forms shown below.

The equivalent set with rhombic forms.