Similarities between 16-cell and Cross-polytope
16-cell and Cross-polytope have 20 things in common (in Unionpedia): Complete bipartite graph, Convex polytope, Coxeter–Dynkin diagram, Dual polyhedron, Edge (geometry), Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Hypercube, John Horton Conway, Ludwig Schläfli, Octahedron, Orthant, Orthographic projection, Regular 4-polytope, Regular Polytopes (book), Schläfli symbol, Vertex (geometry), Vertex figure, 4-polytope.
Complete bipartite graph
No description.
16-cell and Complete bipartite graph · Complete bipartite graph and Cross-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.
16-cell and Convex polytope · Convex polytope and Cross-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).
16-cell and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram 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.
16-cell and Dual polyhedron · Cross-polytope and Dual polyhedron ·
Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
16-cell and Edge (geometry) · Cross-polytope and Edge (geometry) ·
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.
16-cell and Face (geometry) · Cross-polytope and Face (geometry) ·
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.
16-cell and Geometry · Cross-polytope and Geometry ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
16-cell and Harold Scott MacDonald Coxeter · Cross-polytope and Harold Scott MacDonald Coxeter ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
16-cell and Hypercube · Cross-polytope and Hypercube ·
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.
16-cell and John Horton Conway · Cross-polytope and John Horton Conway ·
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.
16-cell and Ludwig Schläfli · Cross-polytope and Ludwig Schläfli ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
16-cell and Octahedron · Cross-polytope and Octahedron ·
Orthant
In geometry, an orthant or hyperoctant is the analogue in n-dimensional Euclidean space of a quadrant in the plane or an octant in three dimensions.
16-cell and Orthant · Cross-polytope and Orthant ·
Orthographic projection
Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.
16-cell and Orthographic projection · Cross-polytope and Orthographic projection ·
Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
16-cell and Regular 4-polytope · Cross-polytope and Regular 4-polytope ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
16-cell and Regular Polytopes (book) · Cross-polytope and Regular Polytopes (book) ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
16-cell and Schläfli symbol · Cross-polytope and Schläfli symbol ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
16-cell and Vertex (geometry) · Cross-polytope and Vertex (geometry) ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
16-cell and Vertex figure · Cross-polytope and Vertex figure ·
4-polytope
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.
The list above answers the following questions
- What 16-cell and Cross-polytope have in common
- What are the similarities between 16-cell and Cross-polytope
16-cell and Cross-polytope Comparison
16-cell has 72 relations, while Cross-polytope has 67. As they have in common 20, the Jaccard index is 14.39% = 20 / (72 + 67).
References
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