Faster access than browser!Similarities between 5-cell and Uniform 4-polytope
5-cell and Uniform 4-polytope have 28 things in common (in Unionpedia): Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Dual polyhedron, Geometry, Harold Scott MacDonald Coxeter, Hyperplane, Isogonal figure, John Horton Conway, Norman Johnson (mathematician), Pentagon, Platonic solid, Rectified 5-cell, Regular 4-polytope, Schläfli symbol, Schlegel diagram, Tesseract, Tetrahedron, Thorold Gosset, Triangle, Triangular prism, Truncated 5-cell, Uniform polytope, Vertex figure, 120-cell, 16-cell, 5-cell, 600-cell.
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
5-cell and Coxeter element · Coxeter element and Uniform 4-polytope ·
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).
5-cell and Coxeter group · Coxeter group and Uniform 4-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).
5-cell and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Uniform 4-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.
5-cell and Dual polyhedron · Dual polyhedron and Uniform 4-polytope ·
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.
5-cell and Geometry · Geometry and Uniform 4-polytope ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
5-cell and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Uniform 4-polytope ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
5-cell and Hyperplane · Hyperplane and Uniform 4-polytope ·
Isogonal figure
In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.
5-cell and Isogonal figure · Isogonal figure and Uniform 4-polytope ·
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.
5-cell and John Horton Conway · John Horton Conway and Uniform 4-polytope ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
5-cell and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Uniform 4-polytope ·
Pentagon
In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.
5-cell and Pentagon · Pentagon and Uniform 4-polytope ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
5-cell and Platonic solid · Platonic solid and Uniform 4-polytope ·
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.
5-cell and Rectified 5-cell · Rectified 5-cell and Uniform 4-polytope ·
Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
5-cell and Regular 4-polytope · Regular 4-polytope and Uniform 4-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
5-cell and Schläfli symbol · Schläfli symbol and Uniform 4-polytope ·
Schlegel diagram
In geometry, a Schlegel diagram is a projection of a polytope from R^d into R^ through a point beyond one of its facets or faces.
5-cell and Schlegel diagram · Schlegel diagram and Uniform 4-polytope ·
Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
5-cell and Tesseract · Tesseract and Uniform 4-polytope ·
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.
5-cell and Tetrahedron · Tetrahedron and Uniform 4-polytope ·
Thorold Gosset
John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.
5-cell and Thorold Gosset · Thorold Gosset and Uniform 4-polytope ·
Triangle
A triangle is a polygon with three edges and three vertices.
5-cell and Triangle · Triangle and Uniform 4-polytope ·
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.
5-cell and Triangular prism · Triangular prism and Uniform 4-polytope ·
Truncated 5-cell
In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell.
5-cell and Truncated 5-cell · Truncated 5-cell and Uniform 4-polytope ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
5-cell and Uniform polytope · Uniform 4-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.
5-cell and Vertex figure · Uniform 4-polytope and Vertex figure ·
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
120-cell and 5-cell · 120-cell and Uniform 4-polytope ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and 5-cell · 16-cell and Uniform 4-polytope ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and 5-cell · 5-cell and Uniform 4-polytope ·
600-cell
In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
The list above answers the following questions
- What 5-cell and Uniform 4-polytope have in common
- What are the similarities between 5-cell and Uniform 4-polytope
5-cell and Uniform 4-polytope Comparison
5-cell has 67 relations, while Uniform 4-polytope has 145. As they have in common 28, the Jaccard index is 13.21% = 28 / (67 + 145).
References
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