Faster access than browser!Similarities between 1 42 polytope and 2 41 polytope
1 42 polytope and 2 41 polytope have 33 things in common (in Unionpedia): Configuration (polytope), Convex polytope, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, E8 (mathematics), E8 polytope, Emanuel Lodewijk Elte, Equilateral triangle, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Hyperplane, Isosceles triangle, Petrie polygon, Projection (linear algebra), Pyramid (geometry), Rectification (geometry), Rectified 6-simplexes, Rectified 7-simplexes, Regular polygon, Schläfli symbol, Tetrahedron, Triangle, Uniform 8-polytope, Uniform polytope, Vertex figure, Wythoff construction, 4 21 polytope, 5-cell, ..., 5-simplex, 6-simplex, 7-demicube. Expand index (3 more) »
Configuration (polytope)
In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.
1 42 polytope and Configuration (polytope) · 2 41 polytope 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.
1 42 polytope and Convex polytope · 2 41 polytope and Convex polytope ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
1 42 polytope and Coxeter element · 2 41 polytope and Coxeter element ·
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).
1 42 polytope and Coxeter group · 2 41 polytope and Coxeter group ·
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 · 2 41 polytope and Coxeter–Dynkin diagram ·
E8 (mathematics)
In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8.
1 42 polytope and E8 (mathematics) · 2 41 polytope and E8 (mathematics) ·
E8 polytope
In 8-dimensional geometry, there are 255 uniform polytopes with E8 symmetry.
1 42 polytope and E8 polytope · 2 41 polytope and E8 polytope ·
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 · 2 41 polytope and Emanuel Lodewijk Elte ·
Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides are equal.
1 42 polytope and Equilateral triangle · 2 41 polytope and Equilateral triangle ·
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 · 2 41 polytope 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 · 2 41 polytope 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 · 2 41 polytope and Harold Scott MacDonald Coxeter ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
1 42 polytope and Hyperplane · 2 41 polytope and Hyperplane ·
Isosceles triangle
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
1 42 polytope and Isosceles triangle · 2 41 polytope 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.
1 42 polytope and Petrie polygon · 2 41 polytope and Petrie polygon ·
Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
1 42 polytope and Projection (linear algebra) · 2 41 polytope and Projection (linear algebra) ·
Pyramid (geometry)
In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.
1 42 polytope and Pyramid (geometry) · 2 41 polytope and Pyramid (geometry) ·
Rectification (geometry)
In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
1 42 polytope and Rectification (geometry) · 2 41 polytope and Rectification (geometry) ·
Rectified 6-simplexes
In six-dimensional geometry, a rectified 6-simplex is a convex uniform 6-polytope, being a rectification of the regular 6-simplex.
1 42 polytope and Rectified 6-simplexes · 2 41 polytope and Rectified 6-simplexes ·
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 · 2 41 polytope and Rectified 7-simplexes ·
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).
1 42 polytope and Regular polygon · 2 41 polytope and Regular polygon ·
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 · 2 41 polytope 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 · 2 41 polytope and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
1 42 polytope and Triangle · 2 41 polytope 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 · 2 41 polytope 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 · 2 41 polytope 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 · 2 41 polytope and Vertex figure ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
1 42 polytope and Wythoff construction · 2 41 polytope and Wythoff construction ·
4 21 polytope
In 8-dimensional geometry, the 421 is a semiregular uniform 8-polytope, constructed within the symmetry of the E8 group.
1 42 polytope and 4 21 polytope · 2 41 polytope and 4 21 polytope ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
1 42 polytope and 5-cell · 2 41 polytope and 5-cell ·
5-simplex
In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.
1 42 polytope and 5-simplex · 2 41 polytope and 5-simplex ·
6-simplex
In geometry, a 6-simplex is a self-dual regular 6-polytope.
1 42 polytope and 6-simplex · 2 41 polytope and 6-simplex ·
7-demicube
In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed.
1 42 polytope and 7-demicube · 2 41 polytope and 7-demicube ·
The list above answers the following questions
- What 1 42 polytope and 2 41 polytope have in common
- What are the similarities between 1 42 polytope and 2 41 polytope
1 42 polytope and 2 41 polytope Comparison
1 42 polytope has 49 relations, while 2 41 polytope has 48. As they have in common 33, the Jaccard index is 34.02% = 33 / (49 + 48).
References
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