Similarities between 120-cell and 600-cell
120-cell and 600-cell have 39 things in common (in Unionpedia): Clifford torus, Complex polytope, Coxeter element, Coxeter group, Decagon, Dihedral angle, Dodecahedron, Dual polyhedron, Equilateral triangle, Face (geometry), Geometry, Golden ratio, Harold Scott MacDonald Coxeter, Hopf fibration, Icosahedral pyramid, Icosidodecahedron, Isogonal figure, Isohedral figure, Isotoxal figure, John Horton Conway, Michael Guy, Norman Johnson (mathematician), Orthographic projection, Parity of a permutation, Pentagon, Polyhedral combinatorics, Regular 4-polytope, Regular Polytopes (book), Schläfli symbol, Schlegel diagram, ..., Snub 24-cell, Tesseract, Tetrahedron, Triangular bipyramid, Vertex figure, 24-cell, 3-sphere, 4-polytope, 5-cell. Expand index (9 more) »
Clifford torus
In geometric topology, the Clifford torus is the simplest and most symmetric Euclidean space embedding of the cartesian product of two circles S1a and S1b.
120-cell and Clifford torus · 600-cell and Clifford torus ·
Complex polytope
In geometry, a complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real dimension is accompanied by an imaginary one.
120-cell and Complex polytope · 600-cell and Complex 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 · 600-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 · 600-cell and Coxeter group ·
Decagon
In geometry, a decagon is a ten-sided polygon or 10-gon.
120-cell and Decagon · 600-cell and Decagon ·
Dihedral angle
A dihedral angle is the angle between two intersecting planes.
120-cell and Dihedral angle · 600-cell and Dihedral angle ·
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
120-cell and Dodecahedron · 600-cell and Dodecahedron ·
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 · 600-cell and Dual polyhedron ·
Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides are equal.
120-cell and Equilateral triangle · 600-cell and Equilateral triangle ·
Face (geometry)
In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.
120-cell and Face (geometry) · 600-cell and Face (geometry) ·
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 · 600-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 · 600-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 · 600-cell and Harold Scott MacDonald Coxeter ·
Hopf fibration
In the mathematical field of differential topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3-sphere (a hypersphere in four-dimensional space) in terms of circles and an ordinary sphere.
120-cell and Hopf fibration · 600-cell and Hopf fibration ·
Icosahedral pyramid
The icosahedral pyramid is a four-dimensional convex polytope, bounded by one icosahedron as its base and by 20 triangular pyramid cells which meet at its apex.
120-cell and Icosahedral pyramid · 600-cell and Icosahedral pyramid ·
Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
120-cell and Icosidodecahedron · 600-cell and Icosidodecahedron ·
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 · 600-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 · 600-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 · 600-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 · 600-cell and John Horton Conway ·
Michael Guy
Michael J. T. Guy (born c.1942) is a British computer scientist and mathematician.
120-cell and Michael Guy · 600-cell and Michael Guy ·
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) · 600-cell and Norman Johnson (mathematician) ·
Orthographic projection
Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.
120-cell and Orthographic projection · 600-cell and Orthographic projection ·
Parity of a permutation
In mathematics, when X is a finite set of at least two elements, the permutations of X (i.e. the bijective functions from X to X) fall into two classes of equal size: the even permutations and the odd permutations.
120-cell and Parity of a permutation · 600-cell and Parity of a permutation ·
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 · 600-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 · 600-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 · 600-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) · 600-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 · 600-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 · 600-cell and Schlegel diagram ·
Snub 24-cell
In geometry, the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells.
120-cell and Snub 24-cell · 600-cell and Snub 24-cell ·
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 · 600-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 · 600-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 · 600-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 · 600-cell and Vertex figure ·
24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
120-cell and 24-cell · 24-cell and 600-cell ·
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 600-cell ·
4-polytope
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.
120-cell and 4-polytope · 4-polytope and 600-cell ·
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 120-cell and 600-cell have in common
- What are the similarities between 120-cell and 600-cell
120-cell and 600-cell Comparison
120-cell has 58 relations, while 600-cell has 76. As they have in common 39, the Jaccard index is 29.10% = 39 / (58 + 76).
References
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