Apeirogon

//əˈpiːɹɵɡɑn// noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A type of generalised polygon with a countably infinite number of sides and vertices;

    "Hence the regular polygon ABCD ... can either be a convex n-gon, a star n-gon, a horocylic^([sic – meaning horocyclic]) apeirogon or a hypercyclic apeirogon."

  2. 2
    A type of generalised polygon with a countably infinite number of sides and vertices; (in the regular case) the limit case of an n-sided regular polygon as n increases to infinity and the edge length is fixed; typically imagined as a straight line partitioned into equal segments by an infinite number of equally-spaced points.; the limit case of an n-sided regular polygon as n increases to infinity and the edge length is fixed; typically imagined as a straight line partitioned into equal segments by an infinite number of equally-spaced points.

Synonyms

All synonyms
monogonzerogon

Example

More examples

"Hence the regular polygon ABCD ... can either be a convex n-gon, a star n-gon, a horocylic^([sic – meaning horocyclic]) apeirogon or a hypercyclic apeirogon."

Etymology

From apeiro- + -gon.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.