Similarities between 8-demicube and 9-demicube
8-demicube and 9-demicube have 26 things in common (in Unionpedia): Alternation (geometry), Cartesian coordinate system, Convex polytope, Coxeter notation, Coxeter–Dynkin diagram, Demihypercube, Emanuel Lodewijk Elte, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, John Horton Conway, Petrie polygon, Regular Polytopes (book), Schläfli symbol, Tetrahedron, Triangle, Uniform polytope, Vertex figure, 16-cell, 5-cell, 5-demicube, 5-simplex, 6-demicube, 6-simplex, 7-demicube, 7-simplex.
Alternation (geometry)
In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.
8-demicube and Alternation (geometry) · 9-demicube and Alternation (geometry) ·
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
8-demicube and Cartesian coordinate system · 9-demicube and Cartesian coordinate system ·
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.
8-demicube and Convex polytope · 9-demicube and Convex 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.
8-demicube and Coxeter notation · 9-demicube and Coxeter notation ·
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).
8-demicube and Coxeter–Dynkin diagram · 9-demicube and Coxeter–Dynkin diagram ·
Demihypercube
In geometry, demihypercubes (also called n-demicubes, n-hemicubes, and half measure polytopes) are a class of n-polytopes constructed from alternation of an n-hypercube, labeled as hγn for being half of the hypercube family, γn.
8-demicube and Demihypercube · 9-demicube and Demihypercube ·
Emanuel Lodewijk Elte
Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.
8-demicube and Emanuel Lodewijk Elte · 9-demicube and Emanuel Lodewijk Elte ·
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.
8-demicube and Geometry · 9-demicube and Geometry ·
Gosset–Elte figures
In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated by a Wythoff construction with mirrors all related by order-2 and order-3 dihedral angles.
8-demicube and Gosset–Elte figures · 9-demicube and Gosset–Elte figures ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
8-demicube and Harold Scott MacDonald Coxeter · 9-demicube and Harold Scott MacDonald Coxeter ·
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.
8-demicube and John Horton Conway · 9-demicube and John Horton Conway ·
Petrie polygon
In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.
8-demicube and Petrie polygon · 9-demicube and Petrie polygon ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
8-demicube and Regular Polytopes (book) · 9-demicube and Regular Polytopes (book) ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
8-demicube and Schläfli symbol · 9-demicube 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.
8-demicube and Tetrahedron · 9-demicube and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
8-demicube and Triangle · 9-demicube and Triangle ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
8-demicube and Uniform polytope · 9-demicube 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.
8-demicube and Vertex figure · 9-demicube and Vertex figure ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and 8-demicube · 16-cell and 9-demicube ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and 8-demicube · 5-cell and 9-demicube ·
5-demicube
In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed.
5-demicube and 8-demicube · 5-demicube and 9-demicube ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
5-simplex and 8-demicube · 5-simplex and 9-demicube ·
6-demicube
In geometry, a 6-demicube or demihexteract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed.
6-demicube and 8-demicube · 6-demicube and 9-demicube ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
6-simplex and 8-demicube · 6-simplex and 9-demicube ·
7-demicube
In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed.
7-demicube and 8-demicube · 7-demicube and 9-demicube ·
7-simplex
In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.
The list above answers the following questions
- What 8-demicube and 9-demicube have in common
- What are the similarities between 8-demicube and 9-demicube
8-demicube and 9-demicube Comparison
8-demicube has 31 relations, while 9-demicube has 31. As they have in common 26, the Jaccard index is 41.94% = 26 / (31 + 31).
References
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