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Mathematical Object

Cube

Geometry

A cube is a three-dimensional solid with eight vertices and twelve straight edges of equal length, whose edges form six square faces of the same size. It is a special case of a cuboid, a parallelepiped, and a rhombohedron in which every quadrilateral face is a square, and it is the three-dimensional member of the hypercube family of polytopes, which also includes the two-dimensional square and the four-dimensional tesseract. A cube with unit-length edges serves as the canonical unit of volume in three-dimensional space, and joining cubes face to face produces a polycube, the three-dimensional analogue of a polyomino.

Facts
Classification
Object Kind
Geometric Object 1
Connections

In Branch

Source Cube (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. Cube, from Wolfram MathWorld
Definition, first paragraph
Quote, Definition, first paragraph
The cube, illustrated above together with a wireframe version and a net that can be used for its construction, is the Platonic solid composed of six square faces that meet each other at right angles and has eight vertices and 12 edges.
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Cube (Wikipedia)
In Branch: Geometry, Lead sentence
Quote, In Branch: Geometry, Lead sentence
A cube is a three-dimensional solid object in geometry.
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