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Regular Polygon

An $n$-sided Polygon in which the sides are all the same length and are symmetrically placed about a common center. The sum of Perpendiculars from any point to the sides of a regular polygon of $n$ sides is $n$ times the Apothem. Only certain regular polygons are ``Constructible'' with Ruler and Straightedge.

$n$ Regular Polygon
3 Triangle
4 Square
5 Pentagon
6 Hexagon
7 Heptagon
8 Octagon
9 Nonagon
10 Decagon
12 Dodecagon
15 Pentadecagon
16 Hexadecagon
17 Heptadecagon
18 Octadecagon
20 Icosagon
30 Triacontagon

See also Constructible Polygon, Geometrography, Heptadecagon, Polygon


Bishop, W. ``How to Construct a Regular Polygon.'' Amer. Math. Monthly 85, 186-188, 1978.

© 1996-9 Eric W. Weisstein