Rolling Circles

Stan Wagon ()
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Stan Wagon: Macalester College, Department of Mathematics and Computer Science

Chapter 3 in Mathematica in Action, 2010, pp 77-111 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-387-75477-2_4

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