Multiple Polypolyominoes

Smallest area polypolyominoes with most same n different n-ominoes. Some solutions shown are not unique.
RK=Rodolfo Kurchan, MR=Mike Reid, RR=Robert Reid.

420 area polypolyominoes with most different n-ominoes, n < 8.

The following rectangle's shapes data was found by Michael Reid.

Rectangle 12x35 has 21 different polyominoes

This 420 shape can be tiled with copies of 5 heptominoes, 9 hexominoes, 3 pentominoes, 1 tetromino, 2 trominoes and 1 domino.
Seems to be the best 420 shape with 21 different polyominoes.

Rectangle 20x21 has 20 different polyominoes

This 420 shape can be tiled with copies of 5 heptominoes, 7 hexominoes, 4 pentominoes, 1 tetromino, 2 trominoes and 1 domino.

Rectangle 15x28 has 20 different polyominoes

This 420 shape can be tiled with copies of 5 heptominoes, 7 hexominoes, 4 pentominoes, 1 tetromino, 2 trominoes and 1 domino.

Last update: Nov 12 2003