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73 relations: Archimedean graph, Archimedean solid, Bigyrate diminished rhombicosidodecahedron, Cantellation (geometry), Cartesian coordinate system, Chuck Lorre, Compound of six pentagrammic prisms, Compound of twelve pentagrammic prisms, Conformal map, Convex polytope, Coxeter element, Diminished rhombicosidodecahedron, Dodecahedron, Dual polyhedron, Edge (geometry), Expansion (geometry), Face (geometry), Geodesic dome, Geometry, Golden ratio, Golden rectangle, Graph theory, Gyrate bidiminished rhombicosidodecahedron, Gyrate rhombicosidodecahedron, Hamiltonian path, Harmonices Mundi, Hyperbolic space, Icosahedron, Icosidodecahedron, Isogonal figure, Johannes Kepler, Johnson solid, Mathematics, Metabidiminished rhombicosidodecahedron, Metabigyrate rhombicosidodecahedron, Metagyrate diminished rhombicosidodecahedron, N-skeleton, Orbifold notation, Origin (mathematics), Orthographic projection, Oxford University Press, Parabidiminished rhombicosidodecahedron, Parabigyrate rhombicosidodecahedron, Paragyrate diminished rhombicosidodecahedron, Parity of a permutation, Pentagon, Pentagonal cupola, Pentagrammic prism, Polytope compound, Projection (linear algebra), ..., Quartic graph, Rectification (geometry), Regular graph, Regular polygon, Rhombic triacontahedron, Small dodecicosidodecahedron, Small rhombidodecahedron, Small stellated truncated dodecahedron, Spherical polyhedron, Square, Stereographic projection, The Big Bang Theory, Topology, Triangle, Tridiminished rhombicosidodecahedron, Trigyrate rhombicosidodecahedron, Truncated rhombicosidodecahedron, Uniform polyhedron, Uniform star polyhedron, Vertex (geometry), Vertex (graph theory), Vertex arrangement, Zome. Expand index (23 more) »
Archimedean graph
In the mathematical field of graph theory, an Archimedean graph is a graph that forms the skeleton of one of the Archimedean solids.
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Archimedean solid
In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes.
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Bigyrate diminished rhombicosidodecahedron
In geometry, the bigyrate diminished rhombicosidodecahedron is one of the Johnson solids (J79).
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Cantellation (geometry)
In geometry, a cantellation is an operation in any dimension that bevels a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.
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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.
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Chuck Lorre
Chuck Lorre (born Charles Michael Levine; October 18, 1952) is an American television writer, producer and composer.
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Compound of six pentagrammic prisms
This uniform polyhedron compound is a chiral symmetric arrangement of 6 pentagrammic prisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron.
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Compound of twelve pentagrammic prisms
This uniform polyhedron compound is a symmetric arrangement of 12 pentagrammic prisms, aligned in pairs with the axes of fivefold rotational symmetry of a dodecahedron.
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Conformal map
In mathematics, a conformal map is a function that preserves angles locally.
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Convex polytope
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.
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Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
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Diminished rhombicosidodecahedron
In geometry, the diminished rhombicosidodecahedron is one of the Johnson solids (J76).
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Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
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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.
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Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
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Expansion (geometry)
In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.
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Face (geometry)
In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.
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Geodesic dome
A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron.
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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.
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Golden ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
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Golden rectangle
In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, 1: \tfrac, which is 1:\varphi (the Greek letter phi), where \varphi is approximately 1.618.
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Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
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Gyrate bidiminished rhombicosidodecahedron
In geometry, the gyrate bidiminished rhombicosidodecahedron is one of the Johnson solids (J82).
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Gyrate rhombicosidodecahedron
In geometry, the gyrate rhombicosidodecahedron is one of the Johnson solids (J72).
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Hamiltonian path
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once.
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Harmonices Mundi
Harmonices MundiThe full title is Ioannis Keppleri Harmonices mundi libri V (The Five Books of Johannes Kepler's The Harmony of the World).
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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.
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Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
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Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
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Isogonal figure
In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.
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Johannes Kepler
Johannes Kepler (December 27, 1571 – November 15, 1630) was a German mathematician, astronomer, and astrologer.
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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.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Metabidiminished rhombicosidodecahedron
In geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids (J81).
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Metabigyrate rhombicosidodecahedron
In geometry, the metabigyrate rhombicosidodecahedron is one of the Johnson solids (J74).
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Metagyrate diminished rhombicosidodecahedron
In geometry, the metagyrate diminished rhombicosidodecahedron is one of the Johnson solids (J78).
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N-skeleton
In mathematics, particularly in algebraic topology, the of a topological space X presented as a simplicial complex (resp. CW complex) refers to the subspace Xn that is the union of the simplices of X (resp. cells of X) of dimensions In other words, given an inductive definition of a complex, the is obtained by stopping at the.
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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.
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Origin (mathematics)
In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space.
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Orthographic projection
Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.
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Oxford University Press
Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.
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Parabidiminished rhombicosidodecahedron
In geometry, the parabidiminished rhombicosidodecahedron is one of the Johnson solids (J80).
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Parabigyrate rhombicosidodecahedron
In geometry, the parabigyrate rhombicosidodecahedron is one of the Johnson solids (J73).
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Paragyrate diminished rhombicosidodecahedron
In geometry, the paragyrate diminished rhombicosidodecahedron is one of the Johnson solids (J77).
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Parity of a permutation
In mathematics, when X is a finite set of at least two elements, the permutations of X (i.e. the bijective functions from X to X) fall into two classes of equal size: the even permutations and the odd permutations.
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Pentagon
In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.
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Pentagonal cupola
In geometry, the pentagonal cupola is one of the Johnson solids (J5).
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Pentagrammic prism
In geometry, the pentagrammic prism is one in an infinite set of nonconvex prisms formed by square sides and two regular star polygon caps, in this case two pentagrams.
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Polytope compound
A polyhedral compound is a figure that is composed of several polyhedra sharing a common centre.
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Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
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Quartic graph
In the mathematical field of graph theory, a quartic graph is a graph where all vertices have degree 4.
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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.
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Regular graph
In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency.
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Regular polygon
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
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Rhombic triacontahedron
In geometry, the rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces.
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Small dodecicosidodecahedron
In geometry, the small dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U33.
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Small rhombidodecahedron
In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U39.
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Small stellated truncated dodecahedron
In geometry, the small stellated truncated dodecahedron or quasitruncated small stellated dodecahedron is a nonconvex uniform polyhedron, indexed as U58.
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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.
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Square
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
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Stereographic projection
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
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The Big Bang Theory
The Big Bang Theory is an American television sitcom created by Chuck Lorre and Bill Prady, both of whom serve as executive producers on the series, along with Steven Molaro.
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Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
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Triangle
A triangle is a polygon with three edges and three vertices.
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Tridiminished rhombicosidodecahedron
In geometry, the tridiminished rhombicosidodecahedron is one of the Johnson solids (J83).
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Trigyrate rhombicosidodecahedron
In geometry, the trigyrate rhombicosidodecahedron is one of the Johnson solids (J75).
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Truncated rhombicosidodecahedron
In geometry, the truncated rhombicosidodecahedron is a polyhedron, constructed as a truncated rhombicosidodecahedron.
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Uniform polyhedron
A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
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Uniform star polyhedron
In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.
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Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
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Vertex (graph theory)
In mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph consists of a set of vertices and a set of arcs (ordered pairs of vertices).
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Vertex arrangement
In geometry, a vertex arrangement is a set of points in space described by their relative positions.
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Zome
The term zome is used in several related senses.
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Cantellated Dodecahedron, Cantellated dodecahedron, Cantellated icosahedron, Expanded dodecahedron, Expanded icosahedron, Rhombicosidodecahedral graph, Small rhombicosidodecahedron, Srid (geometry).
References
[1] https://en.wikipedia.org/wiki/Rhombicosidodecahedron
