page_title: Apeirogon
hierarchical_section_title: Apeirogon
caption_attribution_description: English: Aperigon with one side filled
context_page_description: In geometry, an apeirogon or infinite polygon is a generalized polygon with a countably infinite number of sides. Apeirogons are the two-dimensional case of infinite polytopes.
  In some literature, the term "apeirogon" may refer only to the regular apeirogon, with an infinite dihedral group of symmetries.
context_section_description: In geometry, an apeirogon (from the Greek word ἄπειρος apeiros, "infinite, boundless" and γωνία gonia, "angle") or infinite polygon is a generalized polygon with a countably infinite number of sides. Apeirogons are the two-dimensional case of infinite polytopes.
  In some literature, the term "apeirogon" may refer only to the regular apeirogon, with an infinite dihedral group of symmetries.
caption: An apeirogon can be defined as a partition of the Euclidean line into infinitely many equal-length segments.
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