куб

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

правильный шестигранник

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 · Русский

Куб (др.-греч. κύβος); иногда гекса́эдр или правильный гекса́эдр — правильный многогранник, каждая грань которого представляет собой квадрат.Частный случай параллелепипеда и призмы. В различных дисциплинах используются значения термина, имеющие отношения к тем или иным свойствам геометрического прототипа. В частности, в аналитике (OLAP-анализ) применяются так называемые аналитические многомерные кубы, позволяющие в наглядном виде сопоставить данные из различных таблиц.

Abstract from DBpedia / Wikipedia · CC BY-SA