Tiling with Pentominos

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Polyominoes are plane figures made by attaching nonoverlapping squares to each other in such a way that any two attached squares have one side in common. Pentominoes are polyominoes that use five squares; there are 12 free pentominoes (i.e. they can be turned or flipped over). Find some of the 2339 tilings of a 6×10 rectangle by pentominoes constructed from unit squares [1]. To rotate a piece, click its locator and drag. To translate a piece, click near the locator and drag. To reflect, click a vertex.

Contributed by: Enrique Zeleny (March 2014)
Open content licensed under CC BY-NC-SA




[1] W. J. Hansen. "Equivalence Classes Among Pentomino Tilings of the 6x10 Rectangle." (Jan 27, 2014) www.cs.cmu.edu/~wjh/papers/hexclass.html.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.