Faster access than browser!Similarities between 5-cell and Regular 4-polytope
5-cell and Regular 4-polytope have 29 things in common (in Unionpedia): Configuration (polytope), Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Dihedral angle, Dual polyhedron, Harold Scott MacDonald Coxeter, John Horton Conway, Norman Johnson (mathematician), Pentagon, Pentagram, Platonic solid, Polyhedral combinatorics, Regular Polytopes (book), Schläfli symbol, Schlegel diagram, Simplex, Stereographic projection, Tesseract, Tetrahedron, Triangle, Uniform 4-polytope, Uniform polytope, Vertex figure, 120-cell, 16-cell, 3-sphere, 5-cell, 600-cell.
Configuration (polytope)
In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.
5-cell and Configuration (polytope) · Configuration (polytope) and Regular 4-polytope ·
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-cell and Convex polytope · Convex polytope and Regular 4-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-cell and Coxeter group · Coxeter group and Regular 4-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-cell and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Regular 4-polytope ·
Dihedral angle
A dihedral angle is the angle between two intersecting planes.
5-cell and Dihedral angle · Dihedral angle and Regular 4-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-cell and Dual polyhedron · Dual polyhedron and Regular 4-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-cell and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Regular 4-polytope ·
John Horton Conway
John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
5-cell and John Horton Conway · John Horton Conway and Regular 4-polytope ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
5-cell and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Regular 4-polytope ·
Pentagon
In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.
5-cell and Pentagon · Pentagon and Regular 4-polytope ·
Pentagram
A pentagram (sometimes known as a pentalpha or pentangle or a star pentagon) is the shape of a five-pointed star drawn with five straight strokes.
5-cell and Pentagram · Pentagram and Regular 4-polytope ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
5-cell and Platonic solid · Platonic solid and Regular 4-polytope ·
Polyhedral combinatorics
Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.
5-cell and Polyhedral combinatorics · Polyhedral combinatorics and Regular 4-polytope ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
5-cell and Regular Polytopes (book) · Regular 4-polytope and Regular Polytopes (book) ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
5-cell and Schläfli symbol · Regular 4-polytope and Schläfli symbol ·
Schlegel diagram
In geometry, a Schlegel diagram is a projection of a polytope from R^d into R^ through a point beyond one of its facets or faces.
5-cell and Schlegel diagram · Regular 4-polytope and Schlegel diagram ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
5-cell and Simplex · Regular 4-polytope and Simplex ·
Stereographic projection
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
5-cell and Stereographic projection · Regular 4-polytope and Stereographic projection ·
Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
5-cell and Tesseract · Regular 4-polytope and Tesseract ·
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-cell and Tetrahedron · Regular 4-polytope and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
5-cell and Triangle · Regular 4-polytope and Triangle ·
Uniform 4-polytope
In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.
5-cell and Uniform 4-polytope · Regular 4-polytope and Uniform 4-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
5-cell and Uniform polytope · Regular 4-polytope and Uniform 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-cell and Vertex figure · Regular 4-polytope and Vertex figure ·
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
120-cell and 5-cell · 120-cell and Regular 4-polytope ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and 5-cell · 16-cell and Regular 4-polytope ·
3-sphere
In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere.
3-sphere and 5-cell · 3-sphere and Regular 4-polytope ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and 5-cell · 5-cell and Regular 4-polytope ·
600-cell
In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
The list above answers the following questions
- What 5-cell and Regular 4-polytope have in common
- What are the similarities between 5-cell and Regular 4-polytope
5-cell and Regular 4-polytope Comparison
5-cell has 67 relations, while Regular 4-polytope has 87. As they have in common 29, the Jaccard index is 18.83% = 29 / (67 + 87).
References
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