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Rolling Circles

  • Stan Wagon

Abstract

A variation of the Reuleaux triangle was used in 1939 to describe a device that can drill a perfect square hole. The image shows how, when the outer shape rotates inside a square, the triangular cutting tool traces out an exact square. One can use this to build a device that transforms standard circular motion into motion that drives the Reuleaux rotor in the proper way, and so drills a perfect square hole.

Keywords

Symbolic Expression Graphic Object Rolling Circle Full Revolution Approximate Real 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Stan Wagon
    • 1
  1. 1.Department of Mathematics and Computer ScienceMacalester CollegeSt. PaulUSA

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