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Bodies of Constant Width in Art, Design, and Engineering

In: Bodies of Constant Width

Author

Listed:
  • Horst Martini

    (Chemnitz University of Technology, Faculty of Mathematics)

  • Luis Montejano

    (Universidad Nacional Autónoma de México, Campus Juriquilla, Instituto de Matemáticas)

  • Déborah Oliveros

    (Universidad Nacional Autónoma de México, Campus Juriquilla, Instituto de Matemáticas)

Abstract

As we mentioned before, a normal wheel (rotating around a fixed axis) must be circular in shape to allow smooth forward motion without vertical bumps. However, a cylindrical roller does not require a circular cross section to allow smooth forward motion. In fact, any curve of constant width, such as the Reuleaux triangle, may be used as a cylindrical roller. Besides this nice property, the curves of constant width, in particular, the Reuleaux triangle, have been exploited by engineers, artists, and designers to obtain wonderful objects and number of ingenious mechanisms.

Suggested Citation

  • Horst Martini & Luis Montejano & Déborah Oliveros, 2019. "Bodies of Constant Width in Art, Design, and Engineering," Springer Books, in: Bodies of Constant Width, chapter 0, pages 425-443, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-03868-7_18
    DOI: 10.1007/978-3-030-03868-7_18
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