Apeirogon

Apeirogon (regular)
Edges and vertices
Schläfli symbol{∞}
Coxeter–Dynkin diagrams
Internal angle (degrees)180°
Dual polygonSelf-dual
A partition of the Euclidean line into infinitely many equal-length segments can be understood as a regular apeirogon.

In geometry, an apeirogon (from Ancient Greek ἄπειρος apeiros 'infinite, boundless' and γωνία gonia 'angle') or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the rank 2 case of infinite polytopes. In some literature, the term "apeirogon" may refer only to the regular apeirogon, with an infinite dihedral group of symmetries.[1]

  1. ^ Cite error: The named reference Coxeter was invoked but never defined (see the help page).

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