Faster access than browser!Similarities between 120-cell and 5-cell
120-cell and 5-cell have 28 things in common (in Unionpedia): Configuration (polytope), Coxeter element, Coxeter group, Dihedral angle, Dual polyhedron, Geometry, Golden ratio, Harold Scott MacDonald Coxeter, Hexagonal tiling honeycomb, Isogonal figure, Isohedral figure, Isotoxal figure, John Horton Conway, Norman Johnson (mathematician), Pentagon, Polyhedral combinatorics, Regular 4-polytope, Regular Polytopes (book), Schläfli symbol, Schlegel diagram, Stereographic projection, Tesseract, Tetrahedron, Triangular bipyramid, Vertex figure, 3-sphere, 5-cell, 600-cell.
Configuration (polytope)
In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.
120-cell and Configuration (polytope) · 5-cell and Configuration (polytope) ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
120-cell and Coxeter element · 5-cell 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).
120-cell and Coxeter group · 5-cell and Coxeter group ·
Dihedral angle
A dihedral angle is the angle between two intersecting planes.
120-cell and Dihedral angle · 5-cell and Dihedral angle ·
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.
120-cell and Dual polyhedron · 5-cell and Dual polyhedron ·
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.
120-cell and Geometry · 5-cell and Geometry ·
Golden ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
120-cell and Golden ratio · 5-cell and Golden ratio ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
120-cell and Harold Scott MacDonald Coxeter · 5-cell and Harold Scott MacDonald Coxeter ·
Hexagonal tiling honeycomb
In the field of hyperbolic geometry, the hexagonal tiling honeycomb arises one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space.
120-cell and Hexagonal tiling honeycomb · 5-cell and Hexagonal tiling honeycomb ·
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.
120-cell and Isogonal figure · 5-cell and Isogonal figure ·
Isohedral figure
In geometry, a polytope of dimension 3 (a polyhedron) or higher is isohedral or face-transitive when all its faces are the same.
120-cell and Isohedral figure · 5-cell and Isohedral figure ·
Isotoxal figure
In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on its edges.
120-cell and Isotoxal figure · 5-cell and Isotoxal figure ·
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.
120-cell and John Horton Conway · 5-cell and John Horton Conway ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
120-cell and Norman Johnson (mathematician) · 5-cell and Norman Johnson (mathematician) ·
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.
120-cell and Pentagon · 5-cell and Pentagon ·
Polyhedral combinatorics
Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.
120-cell and Polyhedral combinatorics · 5-cell and Polyhedral combinatorics ·
Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
120-cell and Regular 4-polytope · 5-cell and Regular 4-polytope ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
120-cell and Regular Polytopes (book) · 5-cell and Regular Polytopes (book) ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
120-cell and Schläfli symbol · 5-cell and Schläfli symbol ·
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.
120-cell and Schlegel diagram · 5-cell and Schlegel diagram ·
Stereographic projection
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
120-cell and Stereographic projection · 5-cell and Stereographic projection ·
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.
120-cell and Tesseract · 5-cell and Tesseract ·
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.
120-cell and Tetrahedron · 5-cell and Tetrahedron ·
Triangular bipyramid
In geometry, the triangular bipyramid (or dipyramid) is a type of hexahedron, being the first in the infinite set of face-transitive bipyramids.
120-cell and Triangular bipyramid · 5-cell and Triangular bipyramid ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
120-cell and Vertex figure · 5-cell and Vertex figure ·
3-sphere
In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere.
120-cell and 3-sphere · 3-sphere and 5-cell ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
120-cell and 5-cell · 5-cell and 5-cell ·
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 120-cell and 5-cell have in common
- What are the similarities between 120-cell and 5-cell
120-cell and 5-cell Comparison
120-cell has 58 relations, while 5-cell has 67. As they have in common 28, the Jaccard index is 22.40% = 28 / (58 + 67).
References
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