Adelaide Research & Scholarship
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http://hdl.handle.net/2440/72433| Citations | ||
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| Type: | Journal article |
| Title: | Drilling for polygons |
| Author: | Cox, B. Wagon, S. |
| Citation: | American Mathematical Monthly, 2012; 119(4):300-312 |
| Publisher: | Mathematical Assoc Amer |
| Issue Date: | 2012 |
| ISSN: | 0002-9890 1930-0972 |
| Statement of Responsibility: | 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 |
| RMID: | 0020118984 |
| DOI: | 10.4169/amer.math.monthly.119.04.300 |
| Appears in Collections: | Mathematical Sciences publications |
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