Pento-Tetro-Trominoes
Livio Zucca
We are searching for the 120 shapes that can be covered by a pentomino or a tetromino or a tromino. We'll give precedence to the solutions on the finite plane with the smallest surface. If there aren't solutions on the plane, we'll accept solutions on cylindrical surface or on Moebius strip. Solutions on torus are not interesting because each pentomino, tetromino and tromino covers a torus. If you have better solutions, please send them to George Sicherman HERE.
F5I4I3 | F5L4I3 | F5N4I3 | F5Q4I3 | F5T4I3 |
F5I4L3 | F5L4L3 | F5N4L3 | F5Q4L3 | F5T4L3 |
I5I4I3 | I5L4I3 | I5N4I3 | I5Q4I3 | I5T4I3 |
I5I4L3 | I5L4L3 | I5N4L3 | I5Q4L3 | I5T4L3 |
L5I4I3 | L5L4I3 | L5N4I3 | L5Q4I3 | L5T4I3 |
L5I4L3 | L5L4L3 | L5N4L3 | L5Q4L3 | L5T4L3 |
P5I4I3 | P5L4I3 | P5N4I3 | P5Q4I3 | P5T4I3 |
P5I4L3 | P5L4L3 | P5N4L3 | P5Q4L3 | P5T4L3 |
N5I4I3 | N5L4I3 | N5N4I3 | N5Q4I3 | N5T4I3 |
N5I4L3 | N5L4L3 | N5N4L3 | N5Q4L3 | N5T4L3 |
T5I4I3 | T5L4I3 | T5N4I3 | T5Q4I3 | T5T4I3 |
T5I4L3 | T5L4L3 | T5N4L3 | T5Q4L3 | T5T4L3 |
U5I4I3 | U5L4I3 | U5N4I3 | U5Q4I3 | U5T4I3 |
U5I4L3 | U5L4L3 | U5N4L3 | U5Q4L3 | U5T4L3 |
V5I4I3 | V5L4I3 | V5N4I3 | V5Q4I3 | V5T4I3 |
V5I4L3 | V5L4L3 | V5N4L3 | V5Q4L3 | V5T4L3 |
W5I4I3 | W5L4I3 | W5N4I3 | W5Q4I3 | W5T4I3 |
W5I4L3 | W5L4L3 | W5N4L3 | W5Q4L3 | W5T4L3 |
X5I4I3 | X5L4I3 | X5N4I3 | X5Q4I3 | X5T4I3 |
X5I4L3 | X5L4L3 | X5N4L3 | X5Q4L3 | X5T4L3 |
Y5I4I3 | Y5L4I3 | Y5N4I3 | Y5Q4I3 | Y5T4I3 |
Y5I4L3 | Y5L4L3 | Y5N4L3 | Y5Q4L3 | Y5T4L3 |
Z5I4I3 | Z5L4I3 | Z5N4I3 | Z5Q4I3 | Z5T4I3 |
Z5I4L3 | Z5L4L3 | Z5N4L3 | Z5Q4L3 | Z5T4L3 |
George Sicherman
Solutions in shaded cells are bigger than the corresponding solutions with holes.
F5L4I3 | F5Q4I3 | F5Q4L3 | F5T4I3 | L5N4L3 |
---|---|---|---|---|
L5T4L3 | N5L4L3 | N5N4I3 | N5N4L3 | N5Q4I3 |
N5Q4L3 | N5T4I3 | N5T4L3 | P5L4L3 | P5N4I3 |
T5I4I3 | T5L4I3 | T5L4L3 | T5N4I3 | |
T5Q4I3 | T5Q4L3 | T5T4I3 | T5T4L3 | U5I4I3 |
U5L4L3 | U5N4I3 | U5N4L3 | U5Q4L3 | U5T4I3 |
U5T4L3 | V5I4L3 | V5L4I3 | V5L4L3 | V5N4I3 |
V5Q4L3 | V5T4L3 | W5L4L3 | W5N4L3 | W5Q4L3 |
W5T4L3 | X5N4L3 | X5T4L3 | Y5I4I3 | Y5T4I3 |
Y5T4L3 | Z5I4I3 | Z5I4L3 | Z5L4I3 | Z5N4I3 |
Z5Q4I3 | Z5Q4L3 | Z5T4I3 | Z5T4L3 | |
See also:
Pento-tro-dominoes
Tetrominoes Challenge
Triple Pentominoes
Pentomino Odd Pairs
Links:
Visit the wonderful site of Jorge Luis Mireles (archived).Pento-Tetro-Tetrominoes
Pento-Pento-Tetrominoes
Hexa-Penta-Tetriamonds
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It isn't trivial!
First edition: December 7, 2003 — Last revision: August 6, 2013
Hosted by Col. George Sicherman's Polyform Curiosities.