Related:
Antiprism,
Archimedean solid,
Area (mathematics),
Bicupola (geometry),
Bipyramid,
Cartesian coordinates,
Catalan solid,
Circumscribed sphere,
Compound of three cubes,
Convex polyhedron,
Coxeter-Dynkin diagram,
Cube (algebra),
Cube (disambiguation),
Cube (film),
Cubic honeycomb,
Cuboctahedron,
Cuboid,
Cupola (geometry),
Deltoidal hexecontahedron,
Deltoidal icositetrahedron,
Dice,
Dihedral angle,
Dihedral symmetry in three dimensions,
Dihedron,
Disdyakis dodecahedron,
Disdyakis triacontahedron,
Dodecahedron,
Dual polyhedron,
Eric W. Weisstein,
Euclidean space,
Euler characteristic,
Face diagonal,
Facet,
Frustum,
Geometry,
Gyroelongated bipyramid,
Hamming graph,
Harold Scott MacDonald Coxeter,
Hexahedron,
Hosohedron,
Hypercube,
Hypercube graph,
Icosahedron,
Icosidodecahedron,
Inscribed sphere,
List of Wenninger polyhedron models,
List of spherical symmetry groups,
MathWorld,
Net (polyhedron),
Octagon,
Octahedral symmetry,
Octahedron,
PIE,
Parallel computing,
Parallelepiped,
Pentagonal hexecontahedron,
Pentagonal icositetrahedron,
Pentakis dodecahedron,
Platonic solid,
Point (geometry),
Polyhedral compound,
Polyhedron,
Prism,
Prism (geometry),
Pyramid (geometry),
Quadrilateral,
Rectification (geometry),
Regular polyhedron,
Rhombic dodecahedron,
Rhombic triacontahedron,
Rhombicosidodecahedron,
Rhombicuboctahedron,
Rhombohedron,
Schläfli symbol,
Segment (mathematics),
Snub cube,
Snub dodecahedron,
Space diagonal,
Square (algebra),
Square (geometry),
Square pyramid,
Stella octangula,
Surface area,
Tesseract,
Tetrahedron,
Tetrakis cube,
The Cube (game show),
Third power,
Three-dimensional space,
Trapezohedron,
Triakis icosahedron,
Triakis octahedron,
Triakis tetrahedron,
Trigonal trapezohedron,
Truncated cube,
Truncated cuboctahedron,
Truncated dodecahedron,
Truncated icosahedron,
Truncated icosidodecahedron,
Truncated octahedron,
Truncated tetrahedron,
Truncated trapezohedron,
Uniform polyhedron,
Unit cube,
Vertex-transitive,
Vertex figure,
Volume,
Wythoff symbol,
Yoshimoto Cube,
Zonohedron,
In geometry, a cube[1] is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of trigonal trapezohedron. The cube is dual to the octahedron. It has cubical symmetry (also called octahedral symmetry).
In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles. Antiprisms are a subclass of the prismatoids.
In geometry an Archimedean solid is a highly symmetric, semi-regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices. They are distinct from the Platonic solids, which are composed of only one type of polygon meeting in identical vertices, and from the Johnson solids, whose regular polygonal faces do not meet in identical vertices. The symmetry of the Archimedean solids excludes the members of the dihedral group, the prisms and antiprisms. The Archimedean solids can all be made via Wythoff constructions from the Platonic solids with tetrahedral, octahedral and icosahedral symmetry. See convex uniform polyhedron.
Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve. The term surface area refers to the total area of the exposed surface of a 3-dimensional solid, such as the sum of the areas of the exposed sides of a polyhedron. Area is an important invariant in the differential geometry of surfaces.[1]A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length.
In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. The Catalan solids are named for the Belgian mathematician, Eugène Catalan, who first described them in 1865.In geometry, a circumscribed sphere of a polyhedron is a sphere that contains the polyhedron and touches each of the polyhedron's vertices. The word circumsphere is sometimes used to mean the same thing. When it exists, a circumscribed sphere need not be the smallest sphere containing the polyhedron; for instance, the tetrahedron formed by a vertex of a cube and its three neighbors has the same circumsphere as the cube itself, but can be contained within a smaller sphere having the three neighboring vertices on its equator. All regular polyhedra have circumscribed spheres, but most irregular polyhedra do not have all vertices lying on a common sphere, although it is still possible to define the smallest containing sphere for such shapes.This uniform polyhedron compound is a symmetric arrangement of 3 cubes, considered as square prisms. It can be constructed by superimposing three identical cubes, and then rotating each by 45 degrees about a separate axis (that passes through the centres of two opposite faces).