立方体

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

六枚の正方形の面からなる多面体

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.

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 · 日本語

正六面体（せいろくめんたい、英: regular hexahedron）または立方体（りっぽうたい、英: cube）とは、正多面体の一種であり、空間を正方形6枚で囲んだ立体である。最も面数の少ない正多面体である正四面体のすべての辺を、正三角形面の中心まで切稜することによって得られる。トポロジー的には、正四面体の各面の重心を外側に持ち上げて正三角形を二等辺三角形に３等分し、底辺を共有する二等辺三角形同士が同一平面上となる（このとき直角二等辺三角形となる）ようにした形にもなっている。日本では小学校4年に習う。

Abstract from DBpedia / Wikipedia · CC BY-SA