Tiling a Rectangle with a Pentomino and Isolated Trominoes

Here are minimal rectangles that can be formed by copies of a pentomino and one or more trominoes, not letting the trominoes touch at edges or corners.

These solutions are not necessarily uniquely minimal.

5F (6×11, 16) 5I (1×8, 2) 5L (2×4, 2) 5N (2×8, 4) 5P (2×4, 2) 5T (4×4, 4)
5U (9×14, 30) 5V (4×4, 4) 5W (6×8, 12) 5X — 5Y (2×8, 4) 5Z —

The X and Z pentominoes have no solution. They do have a joint solution:

Square Variants

5F (10×10, 24) 5I (6×6, 8) 5L (4×4, 4) 5N (8×8, 16)
5P (4×4, 4) 5U (16×16, 60) 5W (10×10, 24) 5Y (6×6, 8)

Last revised 2026-01-31.


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Col. George Sicherman [ HOME | MAIL ]