Triple Pentominoes
Livio Zucca

Pento-Tetro-Trominoes

We are searching for the 220 shapes that can be covered by three different pentominoes at least. 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 eac pentomino cover a torus. If you have better solutions, please write to George Sicherman HERE.

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Here below we are searching for the shape of minimal area that can be covered by the maximal number of different pentominoes.


PLANE


CYLINDER


TORUS




Notice:

1) I just find this solutions on our website:
http://pentomino.classy.be/conmeerlingen.html
so it isn't really of me. The most I got from Patrick Hamlyn whose found this quadruples by Peter Essers program and others are from Aad van de Wetering. [Odette De Meulemeester]

2) I can't attribute the exact paternity of these solutions. The author name on each drawing is of who signals the solution in this game. [Livio Zucca]

3) I think that from 66 pentomino-pentomino solutions (if they are minimal) then can be derived some for the 220 pentomino-pentomino-pentomino (minimal also). [Jorge L. Mireles]


See also:

LINKS:
Holeless Triple Pentominoes
Quadruple Pentominoes
Pentomino Odd Triples
Multiple Compatibility for Polyominoes
Triple Hexiamonds
Visit the wonderful site of Jorge Luis Mireles (archived).
The pages of Giovanni Resta.

_________________

It isn't trivial!

First edition: Dec. 31, 2003 — Last revision: Nov. 18, 2013

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