Pento-Tetro-Trominoes
Livio Zucca

Pento-Tetro-Trominoes

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

Holeless Variants
George Sicherman

Solutions in shaded cells are bigger than the corresponding solutions with holes.

F5L4I3F5Q4I3F5Q4L3F5T4I3L5N4L3
L5T4L3N5L4L3N5N4I3N5N4L3N5Q4I3
N5Q4L3N5T4I3N5T4L3P5L4L3P5N4I3
T5I4I3T5L4I3T5L4L3T5N4I3
T5Q4I3T5Q4L3T5T4I3T5T4L3U5I4I3
Impossible Impossible Unsolved
U5L4L3U5N4I3U5N4L3U5Q4L3U5T4I3
Unsolved
U5T4L3V5I4L3V5L4I3V5L4L3V5N4I3
V5Q4L3V5T4L3W5L4L3W5N4L3W5Q4L3
Unsolved
W5T4L3X5N4L3X5T4L3Y5I4I3Y5T4I3
Y5T4L3Z5I4I3Z5I4L3Z5L4I3Z5N4I3
Z5Q4I3Z5Q4L3Z5T4I3Z5T4L3

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

_________________

It isn't trivial!

First edition: December 7, 2003 — Last revision: August 6, 2013

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