cubo

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

objeto sólido tridimensional delimitado por seis faces quadradas

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 · Português

Um cubo ou hexaedro regular é um poliedro com 6 faces congruentes. Além disso, é um dos cinco sólidos platônicos, pois: * cada face tem 4 arestas; * de cada vértice partem 3 arestas; * vale a relação de Euler: , onde representa o número de vértices, o número de arestas e o número de faces. O cubo é também um poliedro regular, pois além das características de sólido platônico, possui: * faces poligonais regulares e congruentes; * ângulos poliédricos congruentes. Ainda, é um prisma quadrangular regular, pois possui duas bases paralelas e congruentes (já que é um poliedro regular), suas bases são polígonos regulares (quadrados) e as arestas laterais formam ângulos retos com as arestas das bases. No cubo, todos os diedros possuem ângulo reto. O cubo é também um sólido sociável, já que ele pode ser aglomerado perfeitamente, o que significa que é possível juntar vários cubos sem que sobrem espaços vazios.

Abstract from DBpedia / Wikipedia · CC BY-SA