Polyominoes

Polyominoes are 2-D geometric shapes made by "gluing" squares together along their edges.

Dominos are one example. The well-known game of Tetris uses tetromino shapes.

Polyominoes generally do not count designs that are a reflection or flip of another shape.

 
  Block: only one arrangment
   
  Dominos: only one arrangment
     
   
   
Triominoes: 2 arrangements
       

     
     
   
   
     
     

Tetrominoes: 5 arrangements

 
     

Pentominoes -- how many arrangements?
Hexominoes -- how many arrangements?
How can you be sure you have found them all?

Extension questions:
     Symmetry and reflection
     Sequences
     Tessellations & tilings
     Polyiamonds
     Soma cubes

Tetrominoes & tessellations
Tetromino templates
Parkade student tetromino webpage
Pentominoes
More pentominoes