Faster access than browser!Similarities between 5-orthoplex and Uniform 5-polytope
5-orthoplex and Uniform 5-polytope have 21 things in common (in Unionpedia): Coxeter element, Coxeter group, Coxeter notation, Coxeter–Dynkin diagram, Cross-polytope, Dual polyhedron, Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Hypercube, Norman Johnson (mathematician), Regular polytope, Schläfli symbol, Tetrahedron, Uniform 5-polytope, Vertex figure, 16-cell, 5-cell, 5-cube, 5-polytope.
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
5-orthoplex and Coxeter element · Coxeter element and Uniform 5-polytope ·
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-orthoplex and Coxeter group · Coxeter group and Uniform 5-polytope ·
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.
5-orthoplex and Coxeter notation · Coxeter notation and Uniform 5-polytope ·
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-orthoplex and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 5-polytope ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
5-orthoplex and Cross-polytope · Cross-polytope and Uniform 5-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.
5-orthoplex and Dual polyhedron · Dual polyhedron and Uniform 5-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-orthoplex and Face (geometry) · Face (geometry) and Uniform 5-polytope ·
Facet (geometry)
In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.
5-orthoplex and Facet (geometry) · Facet (geometry) and Uniform 5-polytope ·
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-orthoplex and Geometry · Geometry and Uniform 5-polytope ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
5-orthoplex and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 5-polytope ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
5-orthoplex and Hypercube · Hypercube and Uniform 5-polytope ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
5-orthoplex and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Uniform 5-polytope ·
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-orthoplex and Regular polytope · Regular polytope and Uniform 5-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
5-orthoplex and Schläfli symbol · Schläfli symbol and Uniform 5-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.
5-orthoplex and Tetrahedron · Tetrahedron and Uniform 5-polytope ·
Uniform 5-polytope
In geometry, a uniform 5-polytope is a five-dimensional uniform polytope.
5-orthoplex and Uniform 5-polytope · Uniform 5-polytope and Uniform 5-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-orthoplex and Vertex figure · Uniform 5-polytope and Vertex figure ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and 5-orthoplex · 16-cell and Uniform 5-polytope ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and 5-orthoplex · 5-cell and Uniform 5-polytope ·
5-cube
In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces.
5-cube and 5-orthoplex · 5-cube and Uniform 5-polytope ·
5-polytope
In five-dimensional geometry, a five-dimensional polytope or 5-polytope is a 5-dimensional polytope, bounded by (4-polytope) facets.
5-orthoplex and 5-polytope · 5-polytope and Uniform 5-polytope ·
The list above answers the following questions
- What 5-orthoplex and Uniform 5-polytope have in common
- What are the similarities between 5-orthoplex and Uniform 5-polytope
5-orthoplex and Uniform 5-polytope Comparison
5-orthoplex has 39 relations, while Uniform 5-polytope has 118. As they have in common 21, the Jaccard index is 13.38% = 21 / (39 + 118).
References
This article shows the relationship between 5-orthoplex and Uniform 5-polytope. To access each article from which the information was extracted, please visit:
