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38 relations: Bitruncation, Convex polytope, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Decagon, Disphenoid, Geometry, George W. Hart, Icosahedron, Isogonal figure, John Horton Conway, Michael Guy, Net (polyhedron), Norman Johnson (mathematician), Orthographic projection, Pentagonal pyramid, Projection (linear algebra), Pyramid (geometry), Rectified 120-cell, Rectified 600-cell, Regular 4-polytope, Regular icosahedron, Schläfli symbol, Schlegel diagram, Stereographic projection, Tetrahedron, Triangle, Truncated dodecahedron, Truncated icosahedron, Truncated tetrahedron, Truncation (geometry), Uniform 4-polytope, Vertex figure, Zome, 120-cell, 4-polytope, 600-cell.
Bitruncation
In geometry, a bitruncation is an operation on regular polytopes.
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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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Coxeter group
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).
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Coxeter–Dynkin diagram
In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).
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Decagon
In geometry, a decagon is a ten-sided polygon or 10-gon.
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Disphenoid
In geometry, a disphenoid (from Greek sphenoeides, "wedgelike") is a tetrahedron whose four faces are congruent acute-angled triangles.
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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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George W. Hart
George William Hart (born 1955) is an American geometer who expresses himself both artistically and academically.
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Icosahedron
In geometry, an icosahedron is a polyhedron with 20 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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John Horton Conway
John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
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Michael Guy
Michael J. T. Guy (born c.1942) is a British computer scientist and mathematician.
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Net (polyhedron)
In geometry a net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.
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Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
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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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Pentagonal pyramid
In geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the vertex).
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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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Pyramid (geometry)
In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.
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Rectified 120-cell
In geometry, a rectified 120-cell is a uniform 4-polytope formed as the rectification of the regular 120-cell.
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Rectified 600-cell
In geometry, the rectified 600-cell or rectified hexacosichoron is a convex uniform 4-polytope composed of 600 regular octahedra and 120 icosahedra cells.
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Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
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Regular icosahedron
In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.
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Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
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Schlegel diagram
In geometry, a Schlegel diagram is a projection of a polytope from R^d into R^ through a point beyond one of its facets or faces.
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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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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.
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Triangle
A triangle is a polygon with three edges and three vertices.
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Truncated dodecahedron
In geometry, the truncated dodecahedron is an Archimedean solid.
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Truncated icosahedron
In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose faces are two or more types of regular polygons.
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Truncated tetrahedron
In geometry, the truncated tetrahedron is an Archimedean solid.
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Truncation (geometry)
In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.
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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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Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
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Zome
The term zome is used in several related senses.
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120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
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4-polytope
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.
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600-cell
In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
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Redirects here:
Bitruncated 120-cell, Bitruncated 600-cell, Hexacosihecatonicosachoron, Truncated 120-cell, Truncated 600-cell, Truncated hecatonicosachoron, Truncated hexacosichoron.
References
[1] https://en.wikipedia.org/wiki/Truncated_120-cells
