Ammann Tiling A1

Requires a Wolfram Notebook System

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

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows the aperiodic tiling A1 discovered by Robert Ammann in 1977.

Contributed by: Dieter Steemann (May 2017)
Based on a program by: Peter Ofella
Open content licensed under CC BY-NC-SA



In 1977, Ammann [1] described a set of six tiles later called the set A1 by Grünbaum and Shephard [2]. In order to ensure an aperiodic tiling, the edges of the basically square tiles have tabs and indentations. The tilling is similar to the Robinson tiling, but shows features of independent interest.

Checking the "decoration" button shows a pattern of interleaved H symbols.

The method of presentation and parts of the code in this Demonstration are adopted from Robinson Tiling.


[1] Wikipedia. "Robert Ammann." (May 15, 2017)

[2] B. Grünbaum and G. C. Shephard, Tilings and Patterns, 2nd ed., New York: W. H. Freeman, 1987 pp. 529–530.

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.