octagon

Also known as 8-gon, octagonal

In geometry, an octagon () is an eight-sided polygon or 8-gon.

AI overview

An octagon is a shape with eight straight sides and eight angles. You'll encounter octagons in everyday life, like in stop signs and architectural designs, making it a basic geometric form worth understanding.

AI-generated from the Wikipedia summary — may contain errors.

In the Vinony graph

Within Vinony's link graph, octagon is referenced by 1,172 other articles, and connects out to square, quadrilateral and parallelogram.

It is catalogued under topics including 8 (number), Constructible polygons and Elementary shapes.

Its subject is documented across 74 Wikipedia language editions.

Wikidata facts

Followed by: nonagon
Follows: heptagon
Image: Irregular octagon.svg
Has parts of class: edge

Show 5 more facts

maintained by WikiProject: WikiProject Mathematics
has facet polytope: edge
Commons category: Octagons
different from: regular octagon
has vertex figure: line segment

Sources (1)

wikidata.org

via Wikidata · CC0

~13 min read

Encyclopedic overview

17 sections

Contents

Properties
Regularity
Area
Circumradius and inradius
Diagonality
Construction
Standard coordinates
Dissectibility
Skew
Petrie polygons
Symmetry
Use
Derived figures
Related polytopes
See also
References
External links

In geometry, an octagon () is an eight-sided polygon or 8-gon.

A regular octagon has Schläfli symbol {8} 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.

Excerpted from Wikipedia’s “octagon” article, available under the CC BY-SA 4.0 licence.