apeirogon

Noun

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

Usage notes

 * Some authors use the term only for the regular apeirogon.
 * A regular apeirogon can be described as a partition (or tessellation) of the Euclidean line into infinitely many equal-length segments.
 * For alternative definitions, see
 * The Schläfli symbol of an apeirogon is $$\{\infty\}$$. (For comparison, the symbol for an $$n$$-sided regular polygon is $$\{n\}$$.)
 * The limit case of an n-sided regular polygon as n increases to infinity and the perimeter length is fixed (meaning the edge lengths decrease to zero) is a circle, which in this context is sometimes called a.
 * In analogy to the Euclidean case, the regular is a partition of the hyperbolic line $$H^1$$ into segments of length $$2\lambda$$.

Translations

 * Bulgarian: безкрайноъгълник
 * Dutch:
 * Finnish: ääretönkulmio
 * French:
 * German: Unendlicheck
 * Italian:
 * Macedonian: бесконечноаголник
 * Polish: wielokąt z nieskończoną liczbą katów
 * Russian:
 * Spanish: apeirógono