立方體

Also known as 3-hypercube, regular hexahedron, 3-cube

由6個正方形面組成的三維幾何體

AI overview

A cube is a three-dimensional shape made up of six identical square faces connected by twelve equal-length edges, with eight corners where edges meet. Cubes are important in geometry and mathematics because they serve as a fundamental example of a polyhedron and appear frequently in everyday objects, from dice to building blocks.

AI-generated from the Wikipedia summary — may contain errors.

In the Vinony graph

Vinony's link graph records 955 inbound references to 立方體, and connects out to Cartesian coordinate system, polycube and square.

It is catalogued under topics including Cubes, Cuboids and Elementary shapes.

Vinony links it to 108 Wikipedia language editions.

Key facts

Polyhedron.name: Cube
Polyhedron.image: File:Cube-h.svg
Polyhedron.type: Hanner polytope,orthogonal polyhedron,parallelohedron,Platonic solid,plesiohedron,regular polyhedron,zonohedron
Polyhedron.faces: 6 square
Polyhedron.edges: 12
Polyhedron.vertices: 8
Polyhedron.euler: 2
Polyhedron.vertex_config: 8 \times (4^3)
Polyhedron.schläfli: \{4,3\}
Polyhedron.symmetry: octahedral symmetry \mathrm{O}_\mathrm{h}
Polyhedron.dual: regular octahedron
Polyhedron.angle: 90°
Polyhedron.properties: convex,edge-transitive,face-transitive,non-composite,orthogonal faces,Rupert property: can pass through a hole with its copy,vertex-transitive
Polyhedron.surface area: 6 × side2
Polyhedron.volume: side3

via Wikipedia infobox

Wikidata facts

Subclass of: hexahedron
Image: The 11 cubic nets.svg
Has parts of class: face

Show 14 more facts

depicted by: Portal
has facet polytope: square
Commons category: Cube
topic's main category: Category:Cubes
has characteristic: sphericity
base: equilateral triangle
Schläfli symbol: {4,3}
has vertex figure: equilateral triangle
dual to: regular octahedron
different from: cube number
Conway polyhedron notation: C
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
maintained by WikiProject: WikiProject Mathematics
invariant under: octahedral symmetry

Sources (5)

via Wikidata · CC0

Article · 中文

在幾何學中，立方體，是由6個正方形面組成的正多面體，故又稱正六面體、正方體或正立方體。它有12條稜（邊）和8個頂（點），是五個柏拉圖立體之一。立方體是一種特殊的正四棱柱、長方體、三方偏方面體、菱形多面體、平行六面體，就如同正方形是特殊的矩形、菱形、平行四邊形一様。立方體具有，即考克斯特BC3對稱性，施萊夫利符號{4,3}，，其對偶多面體為正八面體。

Abstract from DBpedia / Wikipedia · CC BY-SA