Similarities between 1 42 polytope and 8-demicube
1 42 polytope and 8-demicube have 21 things in common (in Unionpedia): Convex polytope, Coxeter–Dynkin diagram, Emanuel Lodewijk Elte, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Petrie polygon, Rectified 7-simplexes, Schläfli symbol, Tetrahedron, Triangle, Uniform 8-polytope, Uniform polytope, Vertex figure, 16-cell, 5-cell, 5-demicube, 5-simplex, 6-demicube, 6-simplex, 7-demicube.
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.
1 42 polytope and Convex polytope · 8-demicube and Convex 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).
1 42 polytope and Coxeter–Dynkin diagram · 8-demicube and Coxeter–Dynkin diagram ·
Emanuel Lodewijk Elte
Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.
1 42 polytope and Emanuel Lodewijk Elte · 8-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.
1 42 polytope and Geometry · 8-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.
1 42 polytope and Gosset–Elte figures · 8-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.
1 42 polytope and Harold Scott MacDonald Coxeter · 8-demicube and Harold Scott MacDonald Coxeter ·
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.
1 42 polytope and Petrie polygon · 8-demicube and Petrie polygon ·
Rectified 7-simplexes
In seven-dimensional geometry, a rectified 7-simplex is a convex uniform 7-polytope, being a rectification of the regular 7-simplex.
1 42 polytope and Rectified 7-simplexes · 8-demicube and Rectified 7-simplexes ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
1 42 polytope and Schläfli symbol · 8-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.
1 42 polytope and Tetrahedron · 8-demicube and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
1 42 polytope and Triangle · 8-demicube and Triangle ·
Uniform 8-polytope
In eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained by 7-polytope facets.
1 42 polytope and Uniform 8-polytope · 8-demicube and Uniform 8-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
1 42 polytope and Uniform polytope · 8-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.
1 42 polytope and Vertex figure · 8-demicube and Vertex figure ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
1 42 polytope and 16-cell · 16-cell and 8-demicube ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
1 42 polytope and 5-cell · 5-cell and 8-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.
1 42 polytope and 5-demicube · 5-demicube and 8-demicube ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
1 42 polytope and 5-simplex · 5-simplex and 8-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.
1 42 polytope and 6-demicube · 6-demicube and 8-demicube ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
1 42 polytope and 6-simplex · 6-simplex and 8-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.
The list above answers the following questions
- What 1 42 polytope and 8-demicube have in common
- What are the similarities between 1 42 polytope and 8-demicube
1 42 polytope and 8-demicube Comparison
1 42 polytope has 49 relations, while 8-demicube has 31. As they have in common 21, the Jaccard index is 26.25% = 21 / (49 + 31).
References
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