Faster access than browser!Similarities between 3 21 polytope and 5-demicube
3 21 polytope and 5-demicube have 25 things in common (in Unionpedia): Configuration (polytope), Convex polytope, Coxeter–Dynkin diagram, Cross-polytope, Emanuel Lodewijk Elte, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Isosceles triangle, Petrie polygon, Rectified 5-cell, Regular polytope, Schläfli symbol, Semiregular polytope, Simplex, Tetrahedron, Thorold Gosset, Triangle, Triangular prism, Uniform k 21 polytope, Uniform polytope, Vertex figure, 2 21 polytope, 3 21 polytope, 5-cell.
Configuration (polytope)
In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.
3 21 polytope and Configuration (polytope) · 5-demicube and Configuration (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.
3 21 polytope and Convex polytope · 5-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).
3 21 polytope and Coxeter–Dynkin diagram · 5-demicube and Coxeter–Dynkin diagram ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
3 21 polytope and Cross-polytope · 5-demicube and Cross-polytope ·
Emanuel Lodewijk Elte
Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.
3 21 polytope and Emanuel Lodewijk Elte · 5-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.
3 21 polytope and Geometry · 5-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.
3 21 polytope and Gosset–Elte figures · 5-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.
3 21 polytope and Harold Scott MacDonald Coxeter · 5-demicube and Harold Scott MacDonald Coxeter ·
Isosceles triangle
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
3 21 polytope and Isosceles triangle · 5-demicube and Isosceles triangle ·
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.
3 21 polytope and Petrie polygon · 5-demicube and Petrie polygon ·
Rectified 5-cell
In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells.
3 21 polytope and Rectified 5-cell · 5-demicube and Rectified 5-cell ·
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.
3 21 polytope and Regular polytope · 5-demicube and Regular polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
3 21 polytope and Schläfli symbol · 5-demicube and Schläfli symbol ·
Semiregular polytope
In geometry, by Thorold Gosset's definition a semiregular polytope is usually taken to be a polytope that is vertex-uniform and has all its facets being regular polytopes.
3 21 polytope and Semiregular polytope · 5-demicube and Semiregular polytope ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
3 21 polytope and Simplex · 5-demicube and Simplex ·
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.
3 21 polytope and Tetrahedron · 5-demicube and Tetrahedron ·
Thorold Gosset
John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.
3 21 polytope and Thorold Gosset · 5-demicube and Thorold Gosset ·
Triangle
A triangle is a polygon with three edges and three vertices.
3 21 polytope and Triangle · 5-demicube and Triangle ·
Triangular prism
In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.
3 21 polytope and Triangular prism · 5-demicube and Triangular prism ·
Uniform k 21 polytope
In geometry, a uniform k21 polytope is a polytope in k + 4 dimensions constructed from the ''E''''n'' Coxeter group, and having only regular polytope facets.
3 21 polytope and Uniform k 21 polytope · 5-demicube and Uniform k 21 polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
3 21 polytope and Uniform polytope · 5-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.
3 21 polytope and Vertex figure · 5-demicube and Vertex figure ·
2 21 polytope
In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group.
2 21 polytope and 3 21 polytope · 2 21 polytope and 5-demicube ·
3 21 polytope
In 7-dimensional geometry, the 321 polytope is a uniform 7-polytope, constructed within the symmetry of the E7 group.
3 21 polytope and 3 21 polytope · 3 21 polytope and 5-demicube ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
The list above answers the following questions
- What 3 21 polytope and 5-demicube have in common
- What are the similarities between 3 21 polytope and 5-demicube
3 21 polytope and 5-demicube Comparison
3 21 polytope has 48 relations, while 5-demicube has 47. As they have in common 25, the Jaccard index is 26.32% = 25 / (48 + 47).
References
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