The tiling of a 6x10 rectangle by means of the 12 different pentominos [Le pavage d'un rectangle 6x10 par les 12 pentaminos différents ]

The tiling of a 6x10 rectangle by means of the 12 different pentominos [Le pavage d'un rectangle 6x10 par les 12 pentaminos différents].




A pentomino is a polygon made of five squares, each pair sharing a common side. There are 12 different pentominos:


The 'F' Pentomino
F
The 'I' Pentomino
I
The 'L' Pentomino
L
The 'N' Pentomino
N
The 'P' Pentomino
P
The 'T' Pentomino
T
The 'U' Pentomino
U
The 'V' Pentomino
V
The 'W' Pentomino
W
The 'X' Pentomino
X
The 'Y' Pentomino
Y
The 'Z' Pentomino
Z


Using rotations and symmetries they can tile certain rectangles and, for example, there are 2339 ways of tiling a 6x10 one (a reference to this puzzle can be found in Imperial Earth published by Arthur C. Clarke in 1975)!

This picture displays one of these 2339 solutions.


See a related picture:

Tridimensional representation of a quadridimensional Calabi-Yau manifold described by means of one of the 2339 pentominos 6x10 puzzle


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