Similarities between Regular icosahedron and Schläfli symbol
Regular icosahedron and Schläfli symbol have 30 things in common (in Unionpedia): Angular defect, Antiprism, Compound of two icosahedra, Coxeter group, Coxeter–Dynkin diagram, Dodecahedron, Dual polyhedron, Euclidean space, Face (geometry), Facet (geometry), Geometry, Hyperbolic space, Icosahedral symmetry, Icosahedron, Kepler–Poinsot polyhedron, Octahedron, Platonic solid, Polyhedron, Regular 4-polytope, Regular polyhedron, Snub (geometry), Snub 24-cell, Snub cube, Spherical polyhedron, Symmetry group, Tetrahedral symmetry, Tetrahedron, Truncation (geometry), Vertex figure, 4-polytope.
Angular defect
In geometry, the (angular) defect (or deficit or deficiency) means the failure of some angles to add up to the expected amount of 360° or 180°, when such angles in the Euclidean plane would.
Angular defect and Regular icosahedron · Angular defect and Schläfli symbol ·
Antiprism
In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles.
Antiprism and Regular icosahedron · Antiprism and Schläfli symbol ·
Compound of two icosahedra
This uniform polyhedron compound is a composition of 2 icosahedra.
Compound of two icosahedra and Regular icosahedron · Compound of two icosahedra and Schläfli symbol ·
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).
Coxeter group and Regular icosahedron · Coxeter group and Schläfli symbol ·
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).
Coxeter–Dynkin diagram and Regular icosahedron · Coxeter–Dynkin diagram and Schläfli symbol ·
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
Dodecahedron and Regular icosahedron · Dodecahedron and Schläfli symbol ·
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.
Dual polyhedron and Regular icosahedron · Dual polyhedron and Schläfli symbol ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
Euclidean space and Regular icosahedron · Euclidean space and Schläfli symbol ·
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.
Face (geometry) and Regular icosahedron · Face (geometry) and Schläfli symbol ·
Facet (geometry)
In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.
Facet (geometry) and Regular icosahedron · Facet (geometry) and Schläfli symbol ·
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.
Geometry and Regular icosahedron · Geometry and Schläfli symbol ·
Hyperbolic space
In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.
Hyperbolic space and Regular icosahedron · Hyperbolic space and Schläfli symbol ·
Icosahedral symmetry
A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation.
Icosahedral symmetry and Regular icosahedron · Icosahedral symmetry and Schläfli symbol ·
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
Icosahedron and Regular icosahedron · Icosahedron and Schläfli symbol ·
Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
Kepler–Poinsot polyhedron and Regular icosahedron · Kepler–Poinsot polyhedron and Schläfli symbol ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Octahedron and Regular icosahedron · Octahedron and Schläfli symbol ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
Platonic solid and Regular icosahedron · Platonic solid and Schläfli symbol ·
Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
Polyhedron and Regular icosahedron · Polyhedron and Schläfli symbol ·
Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
Regular 4-polytope and Regular icosahedron · Regular 4-polytope and Schläfli symbol ·
Regular polyhedron
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.
Regular icosahedron and Regular polyhedron · Regular polyhedron and Schläfli symbol ·
Snub (geometry)
In geometry, a snub is an operation applied to a polyhedron.
Regular icosahedron and Snub (geometry) · Schläfli symbol and Snub (geometry) ·
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.
Regular icosahedron and Snub 24-cell · Schläfli symbol and Snub 24-cell ·
Snub cube
In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles.
Regular icosahedron and Snub cube · Schläfli symbol and Snub cube ·
Spherical polyhedron
In mathematics, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded regions called spherical polygons.
Regular icosahedron and Spherical polyhedron · Schläfli symbol and Spherical polyhedron ·
Symmetry group
In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.
Regular icosahedron and Symmetry group · Schläfli symbol and Symmetry group ·
Tetrahedral symmetry
A regular tetrahedron, an example of a solid with full tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.
Regular icosahedron and Tetrahedral symmetry · Schläfli symbol and Tetrahedral symmetry ·
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.
Regular icosahedron and Tetrahedron · Schläfli symbol and Tetrahedron ·
Truncation (geometry)
In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.
Regular icosahedron and Truncation (geometry) · Schläfli symbol and Truncation (geometry) ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
Regular icosahedron and Vertex figure · Schläfli symbol and Vertex figure ·
4-polytope
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.
4-polytope and Regular icosahedron · 4-polytope and Schläfli symbol ·
The list above answers the following questions
- What Regular icosahedron and Schläfli symbol have in common
- What are the similarities between Regular icosahedron and Schläfli symbol
Regular icosahedron and Schläfli symbol Comparison
Regular icosahedron has 163 relations, while Schläfli symbol has 224. As they have in common 30, the Jaccard index is 7.75% = 30 / (163 + 224).
References
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