Regular Polygon
An 
-sided Polygon in which the sides are all the same length and are symmetrically placed about a common center. Thesum of Perpendiculars from any point to the sides of a regular polygon of sides is times theApothem. Only certain regular polygons are ``Constructible'' with Ruler andStraightedge.
| 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 |
References
Bishop, W. ``How to Construct a Regular Polygon.'' Amer. Math. Monthly 85, 186-188, 1978.
- Sturmian Sequence
- Sturm-Liouville Equation
- Sturm-Liouville Theory
- Sturm Theorem
- Stäckel Determinant
- Stérmer Number
- Stöhr Sequence
- Subalgebra
- Subanalytic
- Subfactorial
- Subfield
- Subgraph
- Subgroup
- Sublime Number
- Submanifold
- Submatrix
- Subnormal
- Subordinate Norm
- Subscript
- Subsequence
- Subset
- Subspace
- Substitution Group
- Substitution Map
- Subtend