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.