cube
Sign in to saveA cube is a three-dimensional solid object in geometry. A cube has eight vertices and twelve straight edges of the same length, so that these edges form six square faces of the same size. It is an example of a polyhedron.
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°
Article
21 sectionsContents
- Properties
- Measurement
- Unit cube
- Symmetry
- Appearances
- In popular cultures
- In nature and science
- In antiquity
- Constructions
- Representation
- As a graph
- In orthogonal projection
- As a configuration matrix
- Related topics
- Construction of polyhedra
- Polycubes
- Space-filling
- Miscellanea
- See also
- References
- External links
{{infobox polyhedron | name = Cube | image = File:Cube-h.svg | type = Hanner polytope,orthogonal polyhedron,parallelohedron,Platonic solid,plesiohedron,regular polyhedron,zonohedron | faces = 6 square | edges = 12 | vertices = 8 | euler = 2 | vertex_config = 8 \times (4^3) | schläfli = \{4,3\} | symmetry = octahedral symmetry \mathrm{O}_\mathrm{h} | dual = regular octahedron | angle = 90° | properties = convex,edge-transitive,face-transitive,non-composite,orthogonal faces,Rupert property: can pass through a hole with its copy,vertex-transitive | surface area = 6 × side2 | volume = side3 }} A cube is a three-dimensional solid object in geometry. A cube has eight vertices and twelve straight edges of the same length, so that these edges form six square faces of the same size. It is an example of a polyhedron.
The cube is found in many popular cultures, including toys and games, the arts, optical illusions, and architectural buildings. Cubes can be found in crystal structures, science, and technological devices. It is also found in ancient texts, such as Plato's work Timaeus, which described a set of solids now called Platonic solids, associating a cube with the classical element of earth. A cube with unit length is the canonical unit of volume in three-dimensional space, relative to which other solid objects are measured.