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53 relations: Alternation (geometry), Decagrammic antiprism, Decagrammic prism, Dodecagrammic antiprism, Dodecagrammic crossed-antiprism, Dodecagrammic prism, Enneagrammic antiprism, Enneagrammic prism, Excavated dodecahedron, Face (geometry), Faceting, Ferenc Csentery, Final stellation of the icosahedron, Grand 120-cell, Grand 600-cell, Grand stellated 120-cell, Great 120-cell, Great grand 120-cell, Great grand stellated 120-cell, Great icosahedral 120-cell, Great stellated 120-cell, Harmonices Mundi, Hendecagrammic prism, Heptagrammic antiprism (7/2), Heptagrammic antiprism (7/3), Heptagrammic crossed-antiprism, Heptagrammic prism (7/3), Hexagonal antiprism, Icosahedral 120-cell, Icositruncated dodecadodecahedron, Kepler–Poinsot polyhedron, List of regular polytopes and compounds, List of Wenninger polyhedron models, Octagram, Octagrammic antiprism, Octagrammic crossed-antiprism, Octagrammic prism, Pentagonal polytope, Polyhedron, Polytope, Pseudo great rhombicuboctahedron, Quasiregular polyhedron, Regular 4-polytope, Regular polyhedron, Regular Polytopes (book), Semiregular polyhedron, Small stellated 120-cell, Square antiprism, Star polygon, Uniform 4-polytope, ..., Uniform polyhedron, 5-polytope, 6-polytope. Expand index (3 more) »
Alternation (geometry)
In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.
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Decagrammic antiprism
In geometry, the decagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two decagrams.
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Decagrammic prism
In geometry, the decagrammic prism is one of an infinite set of nonconvex prisms formed by squares sides and two regular star polygon caps, in this case two decagrams.
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Dodecagrammic antiprism
In geometry, the dodecagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two dodecagrams.
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Dodecagrammic crossed-antiprism
In geometry, the dodecagrammic crossed-antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two dodecagrams.
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Dodecagrammic prism
In geometry, the dodecagrammic prism is one of an infinite set of nonconvex prisms formed by squares sides and two regular star polygon caps, in this case two dodecagrams.
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Enneagrammic antiprism
In geometry, anenneagrammic antiprism is a star antiprism constructed by enneagrammic bases.
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Enneagrammic prism
In geometry, the enneagrammic prism is a nonconvex prisms formed by squares sides and two regular star polygon caps.
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Excavated dodecahedron
In geometry, the excavated dodecahedron is a star polyhedron having 60 equilateral triangular faces.
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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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Faceting
Stella octangula as a faceting of the cube In geometry, faceting (also spelled facetting) is the process of removing parts of a polygon, polyhedron or polytope, without creating any new vertices.
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Ferenc Csentery
Ferenc Csentery (December 29, 1937 – November 7, 2014) was an abstract metal sculptor known for his conceptual work related to the emergence of the US Space Program in the 1960s.
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Final stellation of the icosahedron
In geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because it includes all of the cells in the icosahedron's stellation diagram.
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Grand 120-cell
In geometry, the grand 120-cell or grand polydodecahedron is a regular star 4-polytope with Schläfli symbol.
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Grand 600-cell
In geometry, the grand 600-cell or grand polytetrahedron is a regular star 4-polytope with Schläfli symbol.
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Grand stellated 120-cell
In geometry, the grand stellated 120-cell or grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol.
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Great 120-cell
In geometry, the great 120-cell or great polydodecahedron is a regular star 4-polytope with Schläfli symbol.
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Great grand 120-cell
In geometry, the great grand 120-cell or great grand polydodecahedron is a regular star 4-polytope with Schläfli symbol.
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Great grand stellated 120-cell
In geometry, the great grand stellated 120-cell or great grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol, one of 10 regular Schläfli-Hess 4-polytopes.
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Great icosahedral 120-cell
In geometry, the great icosahedral 120-cell, great polyicosahedron or great faceted 600-cell is a regular star 4-polytope with Schläfli symbol.
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Great stellated 120-cell
In geometry, the great stellated 120-cell or great stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol.
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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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Hendecagrammic prism
In geometry, a hendecagrammic prism is a star polyhedron made from two identical regular hendecagrams connected by squares.
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Heptagrammic antiprism (7/2)
In geometry, the heptagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two heptagrams.
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Heptagrammic antiprism (7/3)
In geometry, the heptagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two heptagrams.
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Heptagrammic crossed-antiprism
In geometry, the heptagrammic crossed-antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two heptagrams.
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Heptagrammic prism (7/3)
In geometry, the heptagrammic prism is one of an infinite set of nonconvex prisms formed by square sides and two regular star polygon caps, in this case two heptagrams.
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Hexagonal antiprism
In geometry, the hexagonal antiprism is the 4th in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.
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Icosahedral 120-cell
In geometry, the icosahedral 120-cell, polyicosahedron, faceted 600-cell or icosaplex is a regular star 4-polytope with Schläfli symbol.
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Icositruncated dodecadodecahedron
In geometry, the icositruncated dodecadodecahedron or icosidodecatruncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U45.
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Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
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List of regular polytopes and compounds
This page lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces.
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List of Wenninger polyhedron models
This is an indexed list of the uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger.
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Octagram
In geometry, an octagram is an eight-angled star polygon.
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Octagrammic antiprism
In geometry, the octagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two octagrams.
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Octagrammic crossed-antiprism
In geometry, the octagrammic crossed-antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two octagrams.
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Octagrammic prism
In geometry, the octagrammic prism is one of an infinite set of nonconvex prisms formed by square sides and two regular star polygon caps, in this case two octagrams.
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Pentagonal polytope
In geometry, a pentagonal polytope is a regular polytope in n dimensions constructed from the H''n'' Coxeter group.
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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.
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Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
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Pseudo great rhombicuboctahedron
In geometry, the pseudo great rhombicuboctahedron is one of the two pseudo-uniform polyhedra, the other being the convex elongated square gyrobicupola or pseudorhombicuboctahedron.
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Quasiregular polyhedron
In geometry, a quasiregular polyhedron is a semiregular polyhedron that has exactly two kinds of regular faces, which alternate around each vertex.
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Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
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Regular polyhedron
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.
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Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
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Semiregular polyhedron
The term semiregular polyhedron (or semiregular polytope) is used variously by different authors.
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Small stellated 120-cell
In geometry, the small stellated 120-cell or stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol.
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Square antiprism
In geometry, the square antiprism is the second in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.
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Star polygon
In geometry, a star polygon is a type of non-convex polygon.
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Uniform 4-polytope
In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.
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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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5-polytope
In five-dimensional geometry, a five-dimensional polytope or 5-polytope is a 5-dimensional polytope, bounded by (4-polytope) facets.
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6-polytope
In six-dimensional geometry, a six-dimensional polytope or 6-polytope is a polytope, bounded by 5-polytope facets.
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Redirects here:
Nonconvex polyhedron, Star polyhedra, Star polytope, Uniform star polychora.
References
[1] https://en.wikipedia.org/wiki/Star_polyhedron
