Faster access than browser!Similarities between 5-orthoplex and Schläfli symbol
5-orthoplex and Schläfli symbol have 19 things in common (in Unionpedia): Convex polytope, Coxeter group, Coxeter notation, Coxeter–Dynkin diagram, Cross-polytope, Dual polyhedron, Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Hypercube, Norman Johnson (mathematician), Quasiregular polyhedron, Regular polytope, Tetrahedron, Triangle, Vertex figure, 16-cell, 5-cell.
Convex polytope
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.
5-orthoplex and Convex polytope · Convex polytope and Schläfli symbol ·
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 Schläfli symbol ·
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 Schläfli symbol ·
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 Schläfli symbol ·
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 Schläfli symbol ·
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 Schläfli symbol ·
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 Schläfli symbol ·
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 Schläfli symbol ·
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 Schläfli symbol ·
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 Schläfli symbol ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
5-orthoplex and Hypercube · Hypercube and Schläfli symbol ·
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 Schläfli symbol ·
Quasiregular polyhedron
In geometry, a quasiregular polyhedron is a semiregular polyhedron that has exactly two kinds of regular faces, which alternate around each vertex.
5-orthoplex and Quasiregular polyhedron · Quasiregular polyhedron and Schläfli symbol ·
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 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-orthoplex and Tetrahedron · Schläfli symbol and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
5-orthoplex and Triangle · Schläfli symbol 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-orthoplex and Vertex figure · Schläfli symbol 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 Schläfli symbol ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
The list above answers the following questions
- What 5-orthoplex and Schläfli symbol have in common
- What are the similarities between 5-orthoplex and Schläfli symbol
5-orthoplex and Schläfli symbol Comparison
5-orthoplex has 39 relations, while Schläfli symbol has 224. As they have in common 19, the Jaccard index is 7.22% = 19 / (39 + 224).
References
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