Similarities between 5 21 honeycomb and Gosset–Elte figures
5 21 honeycomb and Gosset–Elte figures have 27 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Geometry, Harold Scott MacDonald Coxeter, Messenger of Mathematics, Norman Johnson (mathematician), Regular polytope, Regular Polytopes (book), Simplex, Tetrahedron, Thorold Gosset, Uniform k 21 polytope, Vertex figure, Wythoff construction, 1 52 honeycomb, 2 21 polytope, 2 51 honeycomb, 3 21 polytope, 4 21 polytope, 5-cell, 5-demicube, 5-simplex, 6-simplex, 7-simplex, 8-orthoplex, 8-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).
5 21 honeycomb 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).
5 21 honeycomb 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.
5 21 honeycomb 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.
5 21 honeycomb 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.
5 21 honeycomb and Harold Scott MacDonald Coxeter · Gosset–Elte figures and Harold Scott MacDonald Coxeter ·
Messenger of Mathematics
The Messenger of Mathematics is a defunct mathematics journal.
5 21 honeycomb and Messenger of Mathematics · Gosset–Elte figures and Messenger of Mathematics ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
5 21 honeycomb and Norman Johnson (mathematician) · Gosset–Elte figures and Norman Johnson (mathematician) ·
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.
5 21 honeycomb and Regular polytope · Gosset–Elte figures and Regular polytope ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
5 21 honeycomb and Regular Polytopes (book) · Gosset–Elte figures and Regular Polytopes (book) ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
5 21 honeycomb and Simplex · Gosset–Elte figures and Simplex ·
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.
5 21 honeycomb and Tetrahedron · Gosset–Elte figures and Tetrahedron ·
Thorold Gosset
John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.
5 21 honeycomb and Thorold Gosset · Gosset–Elte figures and Thorold Gosset ·
Uniform k 21 polytope
In geometry, a uniform k21 polytope is a polytope in k + 4 dimensions constructed from the ''E''''n'' Coxeter group, and having only regular polytope facets.
5 21 honeycomb and Uniform k 21 polytope · Gosset–Elte figures and Uniform k 21 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.
5 21 honeycomb 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.
5 21 honeycomb and Wythoff construction · Gosset–Elte figures and Wythoff construction ·
1 52 honeycomb
In geometry, the 152 honeycomb is a uniform tessellation of 8-dimensional Euclidean space.
1 52 honeycomb and 5 21 honeycomb · 1 52 honeycomb and Gosset–Elte figures ·
2 21 polytope
In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group.
2 21 polytope and 5 21 honeycomb · 2 21 polytope and Gosset–Elte figures ·
2 51 honeycomb
In 8-dimensional geometry, the 251 honeycomb is a space-filling uniform tessellation.
2 51 honeycomb and 5 21 honeycomb · 2 51 honeycomb and Gosset–Elte figures ·
3 21 polytope
In 7-dimensional geometry, the 321 polytope is a uniform 7-polytope, constructed within the symmetry of the E7 group.
3 21 polytope and 5 21 honeycomb · 3 21 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.
4 21 polytope and 5 21 honeycomb · 4 21 polytope and Gosset–Elte figures ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5 21 honeycomb 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.
5 21 honeycomb 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.
5 21 honeycomb and 5-simplex · 5-simplex and Gosset–Elte figures ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
5 21 honeycomb 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.
5 21 honeycomb and 7-simplex · 7-simplex and Gosset–Elte figures ·
8-orthoplex
In geometry, an 8-orthoplex or 8-cross polytope is a regular 8-polytope with 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells 4-faces, 1792 5-faces, 1024 6-faces, and 256 7-faces.
5 21 honeycomb and 8-orthoplex · 8-orthoplex and Gosset–Elte figures ·
8-simplex
In geometry, an 8-simplex is a self-dual regular 8-polytope.
5 21 honeycomb and 8-simplex · 8-simplex and Gosset–Elte figures ·
The list above answers the following questions
- What 5 21 honeycomb and Gosset–Elte figures have in common
- What are the similarities between 5 21 honeycomb and Gosset–Elte figures
5 21 honeycomb and Gosset–Elte figures Comparison
5 21 honeycomb has 45 relations, while Gosset–Elte figures has 77. As they have in common 27, the Jaccard index is 22.13% = 27 / (45 + 77).
References
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