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octagon

File:Regular_polygon_8_annotated.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ166080· pop 74· linked from 1,172 articles

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.

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)

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.

Gallery (52)