Faster access than browser!Similarities between Schwarz triangle and Wythoff symbol
Schwarz triangle and Wythoff symbol have 13 things in common (in Unionpedia): Coxeter–Dynkin diagram, Dihedral group, Geometry, Icosahedral symmetry, List of uniform polyhedra by Schwarz triangle, Octahedral symmetry, Regular Polytopes (book), Sphere, Tetrahedral symmetry, Uniform polyhedron, Uniform star polyhedron, Uniform tilings in hyperbolic plane, Wythoff construction.
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 Schwarz triangle · Coxeter–Dynkin diagram and Wythoff symbol ·
Dihedral group
In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections.
Dihedral group and Schwarz triangle · Dihedral group and Wythoff 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 Schwarz triangle · Geometry and Wythoff 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 Schwarz triangle · Icosahedral symmetry and Wythoff symbol ·
List of uniform polyhedra by Schwarz triangle
There are many relationships among the uniform polyhedra.
List of uniform polyhedra by Schwarz triangle and Schwarz triangle · List of uniform polyhedra by Schwarz triangle and Wythoff symbol ·
Octahedral symmetry
A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and a symmetry order of 48 including transformations that combine a reflection and a rotation.
Octahedral symmetry and Schwarz triangle · Octahedral symmetry and Wythoff symbol ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
Regular Polytopes (book) and Schwarz triangle · Regular Polytopes (book) and Wythoff symbol ·
Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
Schwarz triangle and Sphere · Sphere and Wythoff symbol ·
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.
Schwarz triangle and Tetrahedral symmetry · Tetrahedral symmetry and Wythoff symbol ·
Uniform polyhedron
A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
Schwarz triangle and Uniform polyhedron · Uniform polyhedron and Wythoff symbol ·
Uniform star polyhedron
In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.
Schwarz triangle and Uniform star polyhedron · Uniform star polyhedron and Wythoff symbol ·
Uniform tilings in hyperbolic plane
In hyperbolic geometry, a uniform (regular, quasiregular or semiregular) hyperbolic tiling is an edge-to-edge filling of the hyperbolic plane which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
Schwarz triangle and Uniform tilings in hyperbolic plane · Uniform tilings in hyperbolic plane and Wythoff symbol ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
Schwarz triangle and Wythoff construction · Wythoff construction and Wythoff symbol ·
The list above answers the following questions
- What Schwarz triangle and Wythoff symbol have in common
- What are the similarities between Schwarz triangle and Wythoff symbol
Schwarz triangle and Wythoff symbol Comparison
Schwarz triangle has 39 relations, while Wythoff symbol has 200. As they have in common 13, the Jaccard index is 5.44% = 13 / (39 + 200).
References
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