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Mathematical Object

Point at Infinity

Geometry

A point at infinity, or ideal point, is an idealized limiting point at the end of each line in geometry. In an affine plane, including the Euclidean plane, there is one such ideal point for every pencil of parallel lines, and adjoining all of them produces a projective plane in which no point can any longer be told apart from the others. In the real case a point at infinity closes a line into a topologically closed curve, and adding one to the complex line produces the complex projective line, also called the Riemann sphere, while in hyperbolic space every line instead has two distinct ideal points. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Object Kind
Geometric Object 1
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In Branch

Source Point at Infinity (Wikipedia)

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Point at Infinity (Wikipedia)
In Branch: Geometry, Lead sentence
Quote, In Branch: Geometry, Lead sentence
In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.
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