Similarities between 10-orthoplex and Gosset–Elte figures
10-orthoplex and Gosset–Elte figures have 18 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Petrie polygon, Projection (linear algebra), Regular polytope, Tetrahedron, Vertex figure, 5-cell, 5-simplex, 6-simplex, 7-simplex, 8-simplex, 9-orthoplex, 9-simplex.
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).
10-orthoplex 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).
10-orthoplex and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Gosset–Elte figures ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
10-orthoplex and Cross-polytope · Cross-polytope 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.
10-orthoplex 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.
10-orthoplex and Harold Scott MacDonald Coxeter · Gosset–Elte figures and Harold Scott MacDonald Coxeter ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
10-orthoplex and Norman Johnson (mathematician) · Gosset–Elte figures and Norman Johnson (mathematician) ·
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.
10-orthoplex 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.
10-orthoplex and Projection (linear algebra) · Gosset–Elte figures and Projection (linear algebra) ·
Regular polytope
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.
10-orthoplex and Regular polytope · Gosset–Elte figures and Regular polytope ·
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.
10-orthoplex and Tetrahedron · Gosset–Elte figures and Tetrahedron ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
10-orthoplex and Vertex figure · Gosset–Elte figures and Vertex figure ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
10-orthoplex and 5-cell · 5-cell and Gosset–Elte figures ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
10-orthoplex and 5-simplex · 5-simplex and Gosset–Elte figures ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
10-orthoplex and 6-simplex · 6-simplex and Gosset–Elte figures ·
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
10-orthoplex and 7-simplex · 7-simplex and Gosset–Elte figures ·
8-simplex
In geometry, an 8-simplex is a self-dual regular 8-polytope.
10-orthoplex and 8-simplex · 8-simplex and Gosset–Elte figures ·
9-orthoplex
In geometry, a 9-orthoplex or 9-cross polytope, is a regular 9-polytope with 18 vertices, 144 edges, 672 triangle faces, 2016 tetrahedron cells, 4032 5-cells 4-faces, 5376 5-simplex 5-faces, 4608 6-simplex 6-faces, 2304 7-simplex 7-faces, and 512 8-simplex 8-faces.
10-orthoplex and 9-orthoplex · 9-orthoplex and Gosset–Elte figures ·
9-simplex
In geometry, a 9-simplex is a self-dual regular 9-polytope.
10-orthoplex and 9-simplex · 9-simplex and Gosset–Elte figures ·
The list above answers the following questions
- What 10-orthoplex and Gosset–Elte figures have in common
- What are the similarities between 10-orthoplex and Gosset–Elte figures
10-orthoplex and Gosset–Elte figures Comparison
10-orthoplex has 33 relations, while Gosset–Elte figures has 77. As they have in common 18, the Jaccard index is 16.36% = 18 / (33 + 77).
References
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