Faster access than browser!Similarities between Regular 4-polytope and Schläfli symbol
Regular 4-polytope and Schläfli symbol have 35 things in common (in Unionpedia): Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Cross-polytope, Cube, Cuboctahedron, Dodecahedron, Dual polyhedron, Face (geometry), Harold Scott MacDonald Coxeter, Hypercube, Kepler–Poinsot polyhedron, List of regular polytopes and compounds, Ludwig Schläfli, Norman Johnson (mathematician), Octahedron, Pentagon, Pentagram, Platonic solid, Regular polygon, Regular polyhedron, Regular polytope, Regular Polytopes (book), Simplex, Square, Star polygon, Tesseract, Tetrahedron, Triangle, Vertex figure, ..., 120-cell, 16-cell, 24-cell, 4-polytope, 5-cell. Expand index (5 more) »
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.
Convex polytope and Regular 4-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).
Coxeter group and Regular 4-polytope · Coxeter group 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).
Coxeter–Dynkin diagram and Regular 4-polytope · 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.
Cross-polytope and Regular 4-polytope · Cross-polytope and Schläfli symbol ·
Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
Cube and Regular 4-polytope · Cube and Schläfli symbol ·
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
Cuboctahedron and Regular 4-polytope · Cuboctahedron and Schläfli symbol ·
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
Dodecahedron and Regular 4-polytope · Dodecahedron 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.
Dual polyhedron and Regular 4-polytope · 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.
Face (geometry) and Regular 4-polytope · Face (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.
Harold Scott MacDonald Coxeter and Regular 4-polytope · Harold Scott MacDonald Coxeter and Schläfli symbol ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
Hypercube and Regular 4-polytope · Hypercube and Schläfli symbol ·
Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
Kepler–Poinsot polyhedron and Regular 4-polytope · Kepler–Poinsot polyhedron and Schläfli symbol ·
List of regular polytopes and compounds
This page lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces.
List of regular polytopes and compounds and Regular 4-polytope · List of regular polytopes and compounds and Schläfli symbol ·
Ludwig Schläfli
Ludwig Schläfli (15 January 1814 – 20 March 1895) was a Swiss mathematician, specialising in geometry and complex analysis (at the time called function theory) who was one of the key figures in developing the notion of higher-dimensional spaces.
Ludwig Schläfli and Regular 4-polytope · Ludwig Schläfli and Schläfli symbol ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
Norman Johnson (mathematician) and Regular 4-polytope · Norman Johnson (mathematician) and Schläfli symbol ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Octahedron and Regular 4-polytope · Octahedron and Schläfli symbol ·
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.
Pentagon and Regular 4-polytope · Pentagon and Schläfli symbol ·
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.
Pentagram and Regular 4-polytope · Pentagram and Schläfli symbol ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
Platonic solid and Regular 4-polytope · Platonic solid and Schläfli symbol ·
Regular polygon
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
Regular 4-polytope and Regular polygon · Regular polygon and Schläfli symbol ·
Regular polyhedron
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.
Regular 4-polytope and Regular polyhedron · Regular 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.
Regular 4-polytope and Regular polytope · Regular polytope and Schläfli symbol ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
Regular 4-polytope and Regular Polytopes (book) · Regular Polytopes (book) and Schläfli symbol ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
Regular 4-polytope and Simplex · Schläfli symbol and Simplex ·
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.
Regular 4-polytope and Square · Schläfli symbol and Square ·
Star polygon
In geometry, a star polygon is a type of non-convex polygon.
Regular 4-polytope and Star polygon · Schläfli symbol and Star polygon ·
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.
Regular 4-polytope and Tesseract · Schläfli symbol 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.
Regular 4-polytope and Tetrahedron · Schläfli symbol and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
Regular 4-polytope 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.
Regular 4-polytope and Vertex figure · Schläfli symbol and Vertex figure ·
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
120-cell and Regular 4-polytope · 120-cell and Schläfli symbol ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and Regular 4-polytope · 16-cell and Schläfli symbol ·
24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
24-cell and Regular 4-polytope · 24-cell and Schläfli symbol ·
4-polytope
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.
4-polytope and Regular 4-polytope · 4-polytope and Schläfli symbol ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and Regular 4-polytope · 5-cell and Schläfli symbol ·
The list above answers the following questions
- What Regular 4-polytope and Schläfli symbol have in common
- What are the similarities between Regular 4-polytope and Schläfli symbol
Regular 4-polytope and Schläfli symbol Comparison
Regular 4-polytope has 87 relations, while Schläfli symbol has 224. As they have in common 35, the Jaccard index is 11.25% = 35 / (87 + 224).
References
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