Isotoxal Polygons
An isotoxal polygon is an equilateral polygon, but not all equilateral polygons are isotoxal.
In general, an isotoxal 2n-gon will have Dn (*nn) dihedral symmetry. A rhombus is a isotoxal polygon with D2 (*22) symmetry.
All regular polygons (equilateral triangle, square, etc.) are isotoxal, having double the minimum symmetry order: a regular n-gon has Dn (*nn) dihedral symmetry. A square is a isotoxal polygon with D4 (*44) symmetry.
| Dihedral symmetry | D2 (*22) | D3 (*33) | D4 (*44) | D5 (*55) | |||||
|---|---|---|---|---|---|---|---|---|---|
| Name | Rhombus | Equilateral triangle | Concave hexagon | Self-intersecting hexagon | Square | Convex octagon | Regular pentagon | Self-intersecting (regular) pentagram | Self-intersecting decagram |
| Picture | |||||||||
Read more about this topic: Isotoxal Figure