Recursive Exercises IV: Rep-Tiles

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.

If a polyomino can be divided into congruent copies similar to itself, it is called an -reptile. Rep-tiles are self-similar pieces and so can be regarded as fractals. This Demonstration shows three polyominoes that are 4-reptiles: the P-pentomino, the L-triomino, and the sphinx—which is a polyiamond.


By decreasing opacity, a 3D shape behind shows up; by turning it, you are presented with architectural designs based on these shapes.


Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA




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.