"Octagonal" redirects here. For other uses, see Octagon (disambiguation) and Octagonal (disambiguation).
Regular octagon
A 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
In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is an eight-sided polygon or 8-gon.
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.
^Wenninger, Magnus J. (1974), Polyhedron Models, Cambridge University Press, p. 9, ISBN 9780521098595.
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