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Some Cosine Relations and the Regular Heptagon
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Osler, Thomas J.; Heng, Phongthong – Mathematics and Computer Education, 2007
The ancient Greek mathematicians sought to construct, by use of straight edge and compass only, all regular polygons. They had no difficulty with regular polygons having 3, 4, 5 and 6 sides, but the 7-sided heptagon eluded all their attempts. In this article, the authors discuss some cosine relations and the regular heptagon. (Contains 1 figure.)
Descriptors: Plane Geometry, Geometric Concepts, Equations (Mathematics), Mathematical Logic
A Computer Search for Almost-Regular Polygons.
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Sipser, Kenneth – Mathematics and Computer Education, 1983
Almost-Regular Polygons (ARPs) are viewed as interesting, but hardly ever noticed. The growing availability of computers means that such figures can be examined. A program written in BASIC which was developed to generate and test large blocks of cases is presented and described. (MP)
Descriptors: College Mathematics, Computer Programs, Geometric Concepts, Geometric Constructions