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Type: Journal article
Title: Mechanical circle squaring
Author: Cox, B.
Wagon, S.
Citation: College Mathematics Journal, 2009; 40(4):238-247
Publisher: Mathematical Association of America
Issue Date: 2009
ISSN: 0746-8342
Statement of
Barry Cox and Stan Wagon
Abstract: A technique discovered in 1939 can be used to build a device that is driven by standard circular motion (as in a drill press) and drills exact square holes. This device is quite different from the classic design by Watts, which uses a Reuleaux triangle and drills a hole that is almost, but not exactly, square. We describe the device in detail, deriving the equations needed to make a computer simulation. Then we investigate the extension to other polygons and show how the basic idea can be combined with some knowledge of envelopes to produce a device that traces out an exact hexagon.
Rights: Copyright Mathematical Association of America
DOI: 10.4169/193113409X458679
Appears in Collections:Aurora harvest
Mathematical Sciences publications

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