Cube

A cube or regular hexahedron is a <a href="/facts/Three-dimensional_space/KAqKWUbS">three-dimensional</a> solid object in <a href="/facts/Geometry/wTQf5ffQ">geometry</a>. It is an example of a <a href="/facts/Polyhedron/UC0p9FTF">polyhedron</a>, having eight vertices connected with twelve straight edges of the same length, allowing them to form six equal-sized <a href="/facts/Square_(geometry)/JHJeMvmL">square</a> faces. It is a type of <a href="/facts/Parallelepiped/Qn7cDgSr">parallelepiped</a> with pairs of parallel opposite faces, and more specifically a <a href="/facts/Rhombohedron/S7XSr6Yu">rhombohedron</a> with its edges has the same length, and a <a href="/facts/Rectangular_cuboid/eLLKX4rh">rectangular cuboid</a> with <a href="/facts/Right_angle/psaslRq7">right angles</a> between pairs of intersecting faces and pairs of intersecting edges. It is an example of many classes of polyhedra: <a href="/facts/Platonic_solid/jraREXFD">Platonic solid</a>, <a href="/facts/Regular_polyhedron/HJ6oGyug">regular polyhedron</a>, <a href="/facts/Parallelohedron/4B0xFmsg">parallelohedron</a>, <a href="/facts/Zonohedron/w16kH9H3">zonohedron</a>, and <a href="/facts/Plesiohedron/Lytb02ys">plesiohedron</a>. The <a href="/facts/Dual_polyhedron/rkIHbmAf">dual polyhedron</a> of a cube is the <a href="/facts/Regular_octahedron/G38q92xW">regular octahedron</a>.
The cube can be represented in many ways, one of which is the graph known as the cubical graph. It can be constructed by using the <a href="/facts/Cartesian_product_of_graphs/wC4JJdyU">Cartesian product of graphs</a>. The cube is the three-dimensional <a href="/facts/Hypercube/q2mRPbIz">hypercube</a>, a family of <a href="/facts/Polytope/a76nXrL0">polytopes</a> also including the two-dimensional square and four-dimensional <a href="/facts/Tesseract/tlqouBoU">tesseract</a>. A cube with <a href="/facts/1/m3wpSfMf">unit</a> side length is the canonical unit of <a href="/facts/Volume/aeAXCBUd">volume</a> in three-dimensional space, relative to which other solid objects are measured. Other related figures involve the construction of polyhedra, <a href="/facts/Space-filling_polyhedron/jPu5CD9k">space-filling</a> and <a href="/facts/Honeycomb_(geometry)/seyRBcel">honeycombs</a>, <a href="/facts/Polycube/wPofWYUV">polycubes</a>, as well as cubes in compounds, spherical, and topological space.
The cube was discovered in antiquity, associated with the nature of <a href="/facts/Earth_(classical_element)/JyNWNdlv">earth</a> by <a href="/facts/Plato/sPedMo74">Plato</a>, for whom the Platonic solids are named. It can be derived differently to create more polyhedra, and it has applications to construct a new <a href="/facts/Polyhedron/UC0p9FTF">polyhedron</a> by attaching others. Other applications include popular culture of toys and games, arts, optical illusions, architectural buildings, as well as natural science and technology.

Cube open-in-new

Cube