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.