Similarities between 5 21 honeycomb and 8-orthoplex
5 21 honeycomb and 8-orthoplex have 19 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Face (geometry), Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Regular polytope, Schläfli symbol, Tetrahedron, Triangle, Vertex figure, Wythoff construction, 5-cell, 5-simplex, 6-simplex, 7-simplex, 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 · 8-orthoplex and Coxeter group ·
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 · 8-orthoplex and Coxeter–Dynkin diagram ·
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 · 8-orthoplex and Cross-polytope ·
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.
5 21 honeycomb and Face (geometry) · 8-orthoplex and Face (geometry) ·
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 · 8-orthoplex and Geometry ·
Gosset–Elte figures
In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated by a Wythoff construction with mirrors all related by order-2 and order-3 dihedral angles.
5 21 honeycomb and Gosset–Elte figures · 8-orthoplex 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 · 8-orthoplex 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.
5 21 honeycomb and Norman Johnson (mathematician) · 8-orthoplex 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 · 8-orthoplex and Regular polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
5 21 honeycomb and Schläfli symbol · 8-orthoplex and Schläfli symbol ·
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 · 8-orthoplex and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
5 21 honeycomb and Triangle · 8-orthoplex and Triangle ·
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 · 8-orthoplex 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 · 8-orthoplex and Wythoff construction ·
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 8-orthoplex ·
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 8-orthoplex ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
5 21 honeycomb and 6-simplex · 6-simplex and 8-orthoplex ·
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 8-orthoplex ·
8-simplex
In geometry, an 8-simplex is a self-dual regular 8-polytope.
The list above answers the following questions
- What 5 21 honeycomb and 8-orthoplex have in common
- What are the similarities between 5 21 honeycomb and 8-orthoplex
5 21 honeycomb and 8-orthoplex Comparison
5 21 honeycomb has 45 relations, while 8-orthoplex has 43. As they have in common 19, the Jaccard index is 21.59% = 19 / (45 + 43).
References
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