One-Sided Polyominoes

number of squares

3

4

5

6

This Demonstration displays the unique shapes that can be built out of

N

squares. Each square must share a side with another square. Shapes that are rotations of another are only included once; mirror images are considered different. These kinds of objects are known as one-sided polyominoes. Only the cases up to

N=6

are shown, but the program can be modified to calculate the number of unique shapes for any

N

.