Problem

Recall that a pentomino is a geometric shape composed of five connected squares, where two...

Recall that a pentomino is a geometric shape composed of five connected squares, where two sides are joined along an entire side. (See problem in Section 1.1). Which of the 12 different pentominos can be folded to form an open-topped cube?

Problem

A pentomino is made up of five squares where two squares are joined along an entire side. Two pentominos are the same if they can be matched by turning or flipping (see problem). Flow many different pentomino shapes are possible?

Problem

A tetromino is a shape made up of four squares where two squares are joined along an entire side.

Two tetromino shapes are the same if they can be matched by turning or flipping. For example, the following two tetrominos are the same as the preceding tetromino.