Faster access than browser!Similarities between 1 42 polytope and Gosset–Elte figures
1 42 polytope and Gosset–Elte figures have 34 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Emanuel Lodewijk Elte, Geometry, Harold Scott MacDonald Coxeter, Octahedron, Petrie polygon, Projection (linear algebra), Rectification (geometry), Rectified 5-cell, Rectified 5-cubes, Rectified 5-simplexes, Rectified 6-cubes, Rectified 6-simplexes, Rectified 7-simplexes, Rectified 8-cubes, Tetrahedron, Uniform 1 k2 polytope, Uniform 8-polytope, Uniform polytope, Vertex figure, Wythoff construction, 1 22 polytope, 1 32 polytope, 16-cell, 2 41 polytope, 4 21 polytope, 5-cell, 5-demicube, 5-simplex, ..., 6-demicube, 6-simplex, 7-demicube, 8-demicube. Expand index (4 more) »
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).
1 42 polytope and Coxeter group · Coxeter group and Gosset–Elte figures ·
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).
1 42 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Gosset–Elte figures ·
Emanuel Lodewijk Elte
Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.
1 42 polytope and Emanuel Lodewijk Elte · Emanuel Lodewijk Elte and Gosset–Elte figures ·
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.
1 42 polytope and Geometry · Geometry and Gosset–Elte figures ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
1 42 polytope and Harold Scott MacDonald Coxeter · Gosset–Elte figures and Harold Scott MacDonald Coxeter ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
1 42 polytope and Octahedron · Gosset–Elte figures and Octahedron ·
Petrie polygon
In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.
1 42 polytope and Petrie polygon · Gosset–Elte figures and Petrie polygon ·
Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
1 42 polytope and Projection (linear algebra) · Gosset–Elte figures 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.
1 42 polytope and Rectification (geometry) · Gosset–Elte figures and Rectification (geometry) ·
Rectified 5-cell
In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells.
1 42 polytope and Rectified 5-cell · Gosset–Elte figures and Rectified 5-cell ·
Rectified 5-cubes
In five-dimensional geometry, a rectified 5-cube is a convex uniform 5-polytope, being a rectification of the regular 5-cube.
1 42 polytope and Rectified 5-cubes · Gosset–Elte figures and Rectified 5-cubes ·
Rectified 5-simplexes
In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex.
1 42 polytope and Rectified 5-simplexes · Gosset–Elte figures and Rectified 5-simplexes ·
Rectified 6-cubes
In six-dimensional geometry, a rectified 6-cube is a convex uniform 6-polytope, being a rectification of the regular 6-cube.
1 42 polytope and Rectified 6-cubes · Gosset–Elte figures and Rectified 6-cubes ·
Rectified 6-simplexes
In six-dimensional geometry, a rectified 6-simplex is a convex uniform 6-polytope, being a rectification of the regular 6-simplex.
1 42 polytope and Rectified 6-simplexes · Gosset–Elte figures and Rectified 6-simplexes ·
Rectified 7-simplexes
In seven-dimensional geometry, a rectified 7-simplex is a convex uniform 7-polytope, being a rectification of the regular 7-simplex.
1 42 polytope and Rectified 7-simplexes · Gosset–Elte figures and Rectified 7-simplexes ·
Rectified 8-cubes
In eight-dimensional geometry, a rectified 8-cube is a convex uniform 8-polytope, being a rectification of the regular 8-cube.
1 42 polytope and Rectified 8-cubes · Gosset–Elte figures and Rectified 8-cubes ·
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.
1 42 polytope and Tetrahedron · Gosset–Elte figures and Tetrahedron ·
Uniform 1 k2 polytope
In geometry, 1k2 polytope is a uniform polytope in n-dimensions (n.
1 42 polytope and Uniform 1 k2 polytope · Gosset–Elte figures and Uniform 1 k2 polytope ·
Uniform 8-polytope
In eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained by 7-polytope facets.
1 42 polytope and Uniform 8-polytope · Gosset–Elte figures and Uniform 8-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
1 42 polytope and Uniform polytope · Gosset–Elte figures and Uniform polytope ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
1 42 polytope and Vertex figure · Gosset–Elte figures and Vertex figure ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
1 42 polytope and Wythoff construction · Gosset–Elte figures and Wythoff construction ·
1 22 polytope
In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group.
1 22 polytope and 1 42 polytope · 1 22 polytope and Gosset–Elte figures ·
1 32 polytope
In 7-dimensional geometry, 132 is a uniform polytope, constructed from the E7 group.
1 32 polytope and 1 42 polytope · 1 32 polytope and Gosset–Elte figures ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
1 42 polytope and 16-cell · 16-cell and Gosset–Elte figures ·
2 41 polytope
In 8-dimensional geometry, the 241 is a uniform 8-polytope, constructed within the symmetry of the E8 group.
1 42 polytope and 2 41 polytope · 2 41 polytope and Gosset–Elte figures ·
4 21 polytope
In 8-dimensional geometry, the 421 is a semiregular uniform 8-polytope, constructed within the symmetry of the E8 group.
1 42 polytope and 4 21 polytope · 4 21 polytope and Gosset–Elte figures ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
1 42 polytope and 5-cell · 5-cell and Gosset–Elte figures ·
5-demicube
In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed.
1 42 polytope and 5-demicube · 5-demicube and Gosset–Elte figures ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
1 42 polytope and 5-simplex · 5-simplex and Gosset–Elte figures ·
6-demicube
In geometry, a 6-demicube or demihexteract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed.
1 42 polytope and 6-demicube · 6-demicube and Gosset–Elte figures ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
1 42 polytope and 6-simplex · 6-simplex and Gosset–Elte figures ·
7-demicube
In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed.
1 42 polytope and 7-demicube · 7-demicube and Gosset–Elte figures ·
8-demicube
In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed.
1 42 polytope and 8-demicube · 8-demicube and Gosset–Elte figures ·
The list above answers the following questions
- What 1 42 polytope and Gosset–Elte figures have in common
- What are the similarities between 1 42 polytope and Gosset–Elte figures
1 42 polytope and Gosset–Elte figures Comparison
1 42 polytope has 49 relations, while Gosset–Elte figures has 77. As they have in common 34, the Jaccard index is 26.98% = 34 / (49 + 77).
References
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