Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Tile Tool: A Graphical Interface for the Exploration of Generalized Penrose Tilings



Sanford P. Ressler


A graphical system to experiment with non-periodic tilings of a plane has been developed as part of research supported by the Bureau of Engraving and Printing (BEP) and the National Bureau of Standards (NBS). Non-periodic tilings have several properties which may be useful in the domain of security printing. Documents such as currency, stocks, bonds, and checks which have values much greater than the material they are composed of, are security documents. The forging of such documents has continued to be a problem as access to sophisticated equipment becomes widespread.
NIST Interagency/Internal Report (NISTIR) - 3488
Report Number


graphical system, BEP, tilings, printing, currency, stocks, bonds


Ressler, S. (1989), Tile Tool: A Graphical Interface for the Exploration of Generalized Penrose Tilings, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD (Accessed June 17, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created January 1, 1989, Updated October 16, 2008