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Penrose Tiles

In: Mathematica in Action

Author

Listed:
  • Stan Wagon

    (Macalester College, Department of Mathematics and Computer Science)

Abstract

Part of a plane tiling using Penrose rhomb tiles: they tile the plane nonperiodically and cannot be used to tile the plane periodically. The first example of such an aperiodic set had over 20 000 types of tiles. Using replacements to implement the recursive ideas that underlie a Penrose tiling makes the generation of such images in Mathematica simple.

Suggested Citation

  • Stan Wagon, 2010. "Penrose Tiles," Springer Books, in: Stan Wagon (ed.), Mathematica in Action, edition 3, chapter 10, pages 267-275, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-75477-2_11
    DOI: 10.1007/978-0-387-75477-2_11
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