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Mathematical Object

Torus

Topology

A torus is a surface formed by revolving a circle in three-dimensional space through one full turn around an axis that lies in the same plane as the circle but does not pass through it. The most familiar form, the ring torus, has the shape of a doughnut or an inner tube, with a major radius measured from the center of the whole shape to the center of the tube and a minor radius measuring the tube itself. Topologically a ring torus is the product of two circles, making it a compact two-dimensional surface of genus one. When the two radii are equal the surface pinches to a point at its center, called a horn torus, and when the minor radius exceeds the major radius the surface self-intersects, called a spindle torus.

Facts
Classification
Object Kind
Geometric Object 1
Connections

In Branch

Source Wikipedia: Torus

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. Wikipedia: Torus
  • Lead section
    In geometry, a torus (pl.: tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an axis that is coplanar with the circle.
  • In Branch: Geometry, Lead sentence
    In geometry, a torus (pl.: tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space
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