Octagon
Polygon shape with eight sides / From Wikipedia, the free encyclopedia
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"Octagonal" redirects here. For other uses, see Octagon (disambiguation) and Octagonal (disambiguation).
In geometry, an octagon (from Ancient Greek ὀκτάγωνον (oktágōnon) 'eight angles') is an eight-sided polygon or 8-gon.
Quick Facts Regular octagon, Type ...
Regular octagon | |
---|---|
Type | Regular polygon |
Edges and vertices | 8 |
Schläfli symbol | {8}, t{4} |
Coxeter–Dynkin diagrams | |
Symmetry group | Dihedral (D8), order 2×8 |
Internal angle (degrees) | 135° |
Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
Dual polygon | Self |
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A regular octagon has Schläfli symbol {8} [1] and can also be constructed as a quasiregular truncated square, t{4}, which alternates two types of edges. A truncated octagon, t{8} is a hexadecagon, {16}. A 3D analog of the octagon can be the rhombicuboctahedron with the triangular faces on it like the replaced edges, if one considers the octagon to be a truncated square.