Polyomino

Polyominoes are figures created by attaching multiple squares edge-to-edge. They are sorted based upon the number of squares they have.

Henominoes

There is a single henomino, consisting of one square by itself.

Dominoes

There is a single domino, consisting of two squares attached edge to edge.

Trominoes

There are two trominoes: the I tromino, consisting of three squares attached in a straight line, and the L tromino, consisting of a square with two other squares attached to the top and bottom.

Tetrominoes

There are five tetrominoes - the square tetromino (consisting of four squares in a square shape), the line tetromino (consisting of four squares in a straight line), the T tetromino (consisting of a square with three squares attached directly to it) and the L tetromino (consisting of three squares in a line then an additional square on the bottom at a right angle).

The tetromino with the largest edge length is the line tetromino, with an edge length of $9 l$. The tetromino with the smallest edge length is the square tetromino, with an edge length of $4l$.

Pentominoes

There are twelve pentominoes. These are named, by their approximate shape:

• Line pentomino
• L pentomino
• P pentomino
• R pentomino
• S pentomino
• T pentomino
• U pentomino
• V pentomino
• W pentomino
• X pentomino
• Y pentomino
• Z pentomino

The pentomino with the largest edge length is the line pentomino, with an edge length of $12 l$. The pentomino with the smallest edge length is the P pentomino, with an edge length of $9 l$.