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|Title:||Drilling for polygons|
|Citation:||American Mathematical Monthly, 2012; 119(4):300-312|
|Publisher:||Mathematical Assoc Amer|
|Barry Cox and Stan Wagon|
|Abstract:||We solve the problem of designing a simple device that uses rotary motion to drill a hole with a cross-section that is a regular polygon with an odd number of sides: the main idea is to use a polygonal trammel and a family of rotors. By using different rotors, one can produce a hole with a cross-section that is in any proportion of the trammel size from zero to exactly one. The key geometric idea is a result about the envelope of an edge of a triangle that rotates so that the other two edges maintain tangential contact with two fixed circles.|
|Rights:||Copyright The Mathematical Association of America|
|Appears in Collections:||Mathematical Sciences publications|
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