Faster access than browser!Similarities between 8-orthoplex and Coxeter group
8-orthoplex and Coxeter group have 20 things in common (in Unionpedia): Coxeter notation, Coxeter–Dynkin diagram, Cross-polytope, Dual polyhedron, Harold Scott MacDonald Coxeter, Hypercube, Octahedron, Regular polytope, Square, Tetrahedron, 16-cell, 5 21 honeycomb, 5-cell, 5-orthoplex, 5-simplex, 6-orthoplex, 6-simplex, 7-orthoplex, 7-simplex, 8-simplex.
Coxeter notation
In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.
8-orthoplex and Coxeter notation · Coxeter group and Coxeter notation ·
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).
8-orthoplex and Coxeter–Dynkin diagram · Coxeter group 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.
8-orthoplex and Cross-polytope · Coxeter group and Cross-polytope ·
Dual polyhedron
In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.
8-orthoplex and Dual polyhedron · Coxeter group and Dual polyhedron ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
8-orthoplex and Harold Scott MacDonald Coxeter · Coxeter group and Harold Scott MacDonald Coxeter ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
8-orthoplex and Hypercube · Coxeter group and Hypercube ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
8-orthoplex and Octahedron · Coxeter group and Octahedron ·
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.
8-orthoplex and Regular polytope · Coxeter group and Regular polytope ·
Square
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
8-orthoplex and Square · Coxeter group and Square ·
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.
8-orthoplex and Tetrahedron · Coxeter group and Tetrahedron ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and 8-orthoplex · 16-cell and Coxeter group ·
5 21 honeycomb
In geometry, the 521 honeycomb is a uniform tessellation of 8-dimensional Euclidean space.
5 21 honeycomb and 8-orthoplex · 5 21 honeycomb and Coxeter group ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and 8-orthoplex · 5-cell and Coxeter group ·
5-orthoplex
In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces.
5-orthoplex and 8-orthoplex · 5-orthoplex and Coxeter group ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
5-simplex and 8-orthoplex · 5-simplex and Coxeter group ·
6-orthoplex
In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces.
6-orthoplex and 8-orthoplex · 6-orthoplex and Coxeter group ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
6-simplex and 8-orthoplex · 6-simplex and Coxeter group ·
7-orthoplex
In geometry, a 7-orthoplex, or 7-cross polytope, is a regular 7-polytope with 14 vertices, 84 edges, 280 triangle faces, 560 tetrahedron cells, 672 5-cells 4-faces, 448 5-faces, and 128 6-faces.
7-orthoplex and 8-orthoplex · 7-orthoplex and Coxeter group ·
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
7-simplex and 8-orthoplex · 7-simplex and Coxeter group ·
8-simplex
In geometry, an 8-simplex is a self-dual regular 8-polytope.
The list above answers the following questions
- What 8-orthoplex and Coxeter group have in common
- What are the similarities between 8-orthoplex and Coxeter group
8-orthoplex and Coxeter group Comparison
8-orthoplex has 43 relations, while Coxeter group has 141. As they have in common 20, the Jaccard index is 10.87% = 20 / (43 + 141).
References
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