Similarities between Cuboctahedron and Octahedron
Cuboctahedron and Octahedron have 32 things in common (in Unionpedia): Buckminster Fuller, Cartesian coordinate system, Conformal map, Convex uniform honeycomb, Coxeter element, Cube, Dual polyhedron, Fundamental domain, Geometry, Hyperbolic space, Icosahedron, Icosidodecahedron, Johnson solid, Orbifold notation, Orthographic projection, Polyhedron, Polytope compound, Projection (linear algebra), Rectification (geometry), Regular Polytopes (book), Sphere, Spherical polyhedron, Stellation, Stereographic projection, Symmetry group, Tesseract, Tetrahedral-octahedral honeycomb, Tetrahedron, Tetrahemihexahedron, Vertex configuration, ..., Wythoff construction, Wythoff symbol. Expand index (2 more) »
Buckminster Fuller
Richard Buckminster "Bucky" Fuller (July 12, 1895 – July 1, 1983) was an American architect, systems theorist, author, designer, inventor and futurist.
Buckminster Fuller and Cuboctahedron · Buckminster Fuller and Octahedron ·
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
Cartesian coordinate system and Cuboctahedron · Cartesian coordinate system and Octahedron ·
Conformal map
In mathematics, a conformal map is a function that preserves angles locally.
Conformal map and Cuboctahedron · Conformal map and Octahedron ·
Convex uniform honeycomb
In geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral cells.
Convex uniform honeycomb and Cuboctahedron · Convex uniform honeycomb and Octahedron ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Cuboctahedron · Coxeter element and Octahedron ·
Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
Cube and Cuboctahedron · Cube and Octahedron ·
Dual polyhedron
In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.
Cuboctahedron and Dual polyhedron · Dual polyhedron and Octahedron ·
Fundamental domain
Given a topological space and a group acting on it, the images of a single point under the group action form an orbit of the action.
Cuboctahedron and Fundamental domain · Fundamental domain and Octahedron ·
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Cuboctahedron and Geometry · Geometry and Octahedron ·
Hyperbolic space
In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.
Cuboctahedron and Hyperbolic space · Hyperbolic space and Octahedron ·
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
Cuboctahedron and Icosahedron · Icosahedron and Octahedron ·
Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
Cuboctahedron and Icosidodecahedron · Icosidodecahedron and Octahedron ·
Johnson solid
In geometry, a Johnson solid is a strictly convex polyhedron, which is not uniform (i.e., not a Platonic solid, Archimedean solid, prism, or antiprism), and each face of which is a regular polygon.
Cuboctahedron and Johnson solid · Johnson solid and Octahedron ·
Orbifold notation
In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature.
Cuboctahedron and Orbifold notation · Octahedron and Orbifold notation ·
Orthographic projection
Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.
Cuboctahedron and Orthographic projection · Octahedron and Orthographic projection ·
Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
Cuboctahedron and Polyhedron · Octahedron and Polyhedron ·
Polytope compound
A polyhedral compound is a figure that is composed of several polyhedra sharing a common centre.
Cuboctahedron and Polytope compound · Octahedron and Polytope compound ·
Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
Cuboctahedron and Projection (linear algebra) · Octahedron and Projection (linear algebra) ·
Rectification (geometry)
In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
Cuboctahedron and Rectification (geometry) · Octahedron and Rectification (geometry) ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
Cuboctahedron and Regular Polytopes (book) · Octahedron and Regular Polytopes (book) ·
Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
Cuboctahedron and Sphere · Octahedron and Sphere ·
Spherical polyhedron
In mathematics, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded regions called spherical polygons.
Cuboctahedron and Spherical polyhedron · Octahedron and Spherical polyhedron ·
Stellation
In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.
Cuboctahedron and Stellation · Octahedron and Stellation ·
Stereographic projection
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
Cuboctahedron and Stereographic projection · Octahedron and Stereographic projection ·
Symmetry group
In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.
Cuboctahedron and Symmetry group · Octahedron and Symmetry group ·
Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
Cuboctahedron and Tesseract · Octahedron and Tesseract ·
Tetrahedral-octahedral honeycomb
The tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space.
Cuboctahedron and Tetrahedral-octahedral honeycomb · Octahedron and Tetrahedral-octahedral honeycomb ·
Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
Cuboctahedron and Tetrahedron · Octahedron and Tetrahedron ·
Tetrahemihexahedron
In geometry, the tetrahemihexahedron or hemicuboctahedron is a uniform star polyhedron, indexed as U4.
Cuboctahedron and Tetrahemihexahedron · Octahedron and Tetrahemihexahedron ·
Vertex configuration
In geometry, a vertex configuration by Walter Steurer, Sofia Deloudi, (2009) pp.
Cuboctahedron and Vertex configuration · Octahedron and Vertex configuration ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
Cuboctahedron and Wythoff construction · Octahedron and Wythoff construction ·
Wythoff symbol
In geometry, the Wythoff symbol represents a Wythoff construction of a uniform polyhedron or plane tiling, from a Schwarz triangle.
Cuboctahedron and Wythoff symbol · Octahedron and Wythoff symbol ·
The list above answers the following questions
- What Cuboctahedron and Octahedron have in common
- What are the similarities between Cuboctahedron and Octahedron
Cuboctahedron and Octahedron Comparison
Cuboctahedron has 93 relations, while Octahedron has 105. As they have in common 32, the Jaccard index is 16.16% = 32 / (93 + 105).
References
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