Faster access than browser!
224 relations: Alternated octagonal tiling, Alternated order-4 hexagonal tiling, Alternation (geometry), Angular defect, Antiprism, Apeirogonal antiprism, Apeirogonal hosohedron, Apeirogonal prism, ß, Beta, Bipyramid, Bitruncation, Cantellated tesseract, Cantellation (geometry), Cantic octagonal tiling, Cartesian product, Compound of two icosahedra, Convex polytope, Convex set, Coxeter group, Coxeter notation, Coxeter–Dynkin diagram, Cross-polytope, Cube, Cubic honeycomb, Cuboctahedron, Dodecagon, Dodecahedron, Dual polyhedron, Duoprism, Duopyramid, Elongated triangular tiling, Equilateral triangle, Euclidean geometry, Euclidean space, Expansion (geometry), Face (geometry), Facet (geometry), Geometry, Great duoantiprism, Harold Scott MacDonald Coxeter, Heptagonal tiling, Hexagon, Hexagonal tiling, Hexagram, Hexaoctagonal tiling, Hosohedron, Hyperbolic geometry, Hyperbolic space, Hypercube, ..., Icosahedral symmetry, Icosahedron, Infinite-order apeirogonal tiling, Infinite-order pentagonal tiling, Infinite-order square tiling, Infinite-order triangular tiling, Irreducible fraction, Isosceles triangle, Kepler–Poinsot polyhedron, Line segment, List of regular polytopes and compounds, Ludwig Schläfli, Norman Johnson (mathematician), Octagonal tiling, Octahedral symmetry, Octahedron, Omnitruncation, Order of operations, Order-3 apeirogonal tiling, Order-4 apeirogonal tiling, Order-4 dodecahedral honeycomb, Order-4 heptagonal tiling, Order-4 hexagonal tiling, Order-4 octagonal tiling, Order-4 pentagonal tiling, Order-5 apeirogonal tiling, Order-5 hexagonal tiling, Order-5 pentagonal tiling, Order-5 square tiling, Order-6 hexagonal tiling, Order-6 octagonal tiling, Order-6 pentagonal tiling, Order-6 square tiling, Order-7 heptagonal tiling, Order-7 square tiling, Order-7 triangular tiling, Order-8 hexagonal tiling, Order-8 octagonal tiling, Order-8 square tiling, Order-8 triangular tiling, Palindrome, Pentaapeirogonal tiling, Pentagon, Pentagram, Pentahexagonal tiling, Platonic solid, Point (geometry), Polygram (geometry), Polyhedron, Prism (geometry), Pyramid (geometry), Quarter order-6 square tiling, Quasiregular polyhedron, Rectangle, Rectification (geometry), Rectified 24-cell, Rectified tesseract, Recursive definition, Reflection symmetry, Regular 4-polytope, Regular polygon, Regular polyhedron, Regular polytope, Regular Polytopes (book), Rhombicuboctahedron, Rhombihexaoctagonal tiling, Rhombipentahexagonal tiling, Rhombitetraapeirogonal tiling, Rhombitetraheptagonal tiling, Rhombitetrahexagonal tiling, Rhombitetraoctagonal tiling, Rhombitetrapentagonal tiling, Rhombitriapeirogonal tiling, Rhombitriheptagonal tiling, Rhombitrihexagonal tiling, Rhombitrioctagonal tiling, Rhombus, Runcinated tesseracts, Simplex, Snub (geometry), Snub 24-cell, Snub apeiroapeirogonal tiling, Snub cube, Snub heptaheptagonal tiling, Snub hexahexagonal tiling, Snub hexaoctagonal tiling, Snub octaoctagonal tiling, Snub order-6 square tiling, Snub order-8 triangular tiling, Snub pentahexagonal tiling, Snub pentapentagonal tiling, Snub square tiling, Snub tetraapeirogonal tiling, Snub tetraheptagonal tiling, Snub tetrahexagonal tiling, Snub tetraoctagonal tiling, Snub tetrapentagonal tiling, Snub triapeirogonal tiling, Snub triheptagonal tiling, Snub trihexagonal tiling, Snub trioctagonal tiling, Spherical polyhedron, Square, Square tiling, Star polygon, Stellated octahedron, Symmetry group, Tessellation, Tesseract, Tetraapeirogonal tiling, Tetrahedral symmetry, Tetrahedron, Tetraheptagonal tiling, Tetrahexagonal tiling, Tetraoctagonal tiling, Tetrapentagonal tiling, Trapezohedron, Triangle, Triangular tiling, Triapeirogonal tiling, Triheptagonal tiling, Trihexagonal tiling, Trioctagonal tiling, Truncated 24-cells, Truncated cube, Truncated cuboctahedron, Truncated heptagonal tiling, Truncated hexagonal tiling, Truncated hexaoctagonal tiling, Truncated infinite-order square tiling, Truncated infinite-order triangular tiling, Truncated octagonal tiling, Truncated octahedron, Truncated order-3 apeirogonal tiling, Truncated order-4 apeirogonal tiling, Truncated order-4 heptagonal tiling, Truncated order-4 hexagonal tiling, Truncated order-4 octagonal tiling, Truncated order-4 pentagonal tiling, Truncated order-5 hexagonal tiling, Truncated order-5 pentagonal tiling, Truncated order-5 square tiling, Truncated order-6 hexagonal tiling, Truncated order-6 octagonal tiling, Truncated order-6 pentagonal tiling, Truncated order-6 square tiling, Truncated order-7 heptagonal tiling, Truncated order-7 square tiling, Truncated order-7 triangular tiling, Truncated order-8 hexagonal tiling, Truncated order-8 octagonal tiling, Truncated order-8 triangular tiling, Truncated pentahexagonal tiling, Truncated square tiling, Truncated tesseract, Truncated tetraapeirogonal tiling, Truncated tetraheptagonal tiling, Truncated tetrahexagonal tiling, Truncated tetraoctagonal tiling, Truncated tetrapentagonal tiling, Truncated triapeirogonal tiling, Truncated triheptagonal tiling, Truncated trihexagonal tiling, Truncated trioctagonal tiling, Truncation (geometry), Uniform tilings in hyperbolic plane, Vertex figure, 120-cell, 16-cell, 24-cell, 3-7 kisrhombille, 4-5 kisrhombille, 4-polytope, 5-cell. Expand index (174 more) »
Alternated octagonal tiling
In geometry, the tritetragonal tiling or alternated octagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Alternated octagonal tiling · See more »
Alternated order-4 hexagonal tiling
In geometry, the alternated order-4 hexagonal tiling or ditetragonal tritetratrigonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Alternated order-4 hexagonal tiling · See more »
Alternation (geometry)
In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.
New!!: Schläfli symbol and Alternation (geometry) · See more »
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.
New!!: Schläfli symbol and Angular defect · See more »
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.
New!!: Schläfli symbol and Antiprism · See more »
Apeirogonal antiprism
In geometry, an apeirogonal antiprism or infinite antiprism is the arithmetic limit of the family of antiprisms; it can be considered an infinite polyhedron or a tiling of the plane.
New!!: Schläfli symbol and Apeirogonal antiprism · See more »
Apeirogonal hosohedron
In geometry, an apeirogonal hosohedron or infinite hosohedron is a tiling of the plane consisting of two vertices at infinity.
New!!: Schläfli symbol and Apeirogonal hosohedron · See more »
Apeirogonal prism
In geometry, an apeirogonal prism or infinite prism is the arithmetic limit of the family of prisms; it can be considered an infinite polyhedron or a tiling of the plane.
New!!: Schläfli symbol and Apeirogonal prism · See more »
ß
In German orthography, the grapheme ß, called Eszett or scharfes S, in English "sharp S", represents the phoneme in Standard German, specifically when following long vowels and diphthongs, while ss is used after short vowels.
New!!: Schläfli symbol and ß · See more »
Beta
Beta (uppercase, lowercase, or cursive; bē̂ta or βήτα) is the second letter of the Greek alphabet.
New!!: Schläfli symbol and Beta · See more »
Bipyramid
An n-gonal bipyramid or dipyramid is a polyhedron formed by joining an n-gonal pyramid and its mirror image base-to-base.
New!!: Schläfli symbol and Bipyramid · See more »
Bitruncation
In geometry, a bitruncation is an operation on regular polytopes.
New!!: Schläfli symbol and Bitruncation · See more »
Cantellated tesseract
In four-dimensional geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract.
New!!: Schläfli symbol and Cantellated tesseract · See more »
Cantellation (geometry)
In geometry, a cantellation is an operation in any dimension that bevels a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.
New!!: Schläfli symbol and Cantellation (geometry) · See more »
Cantic octagonal tiling
In geometry, the tritetratrigonal tiling or shieldotritetragonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Cantic octagonal tiling · See more »
Cartesian product
In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.
New!!: Schläfli symbol and Cartesian product · See more »
Compound of two icosahedra
This uniform polyhedron compound is a composition of 2 icosahedra.
New!!: Schläfli symbol and Compound of two icosahedra · See more »
Convex polytope
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.
New!!: Schläfli symbol and Convex polytope · See more »
Convex set
In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.
New!!: Schläfli symbol and Convex set · See more »
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).
New!!: Schläfli symbol and Coxeter group · See more »
Coxeter notation
In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.
New!!: Schläfli symbol and Coxeter notation · See more »
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).
New!!: Schläfli symbol and Coxeter–Dynkin diagram · See more »
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
New!!: Schläfli symbol and Cross-polytope · See more »
Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
New!!: Schläfli symbol and Cube · See more »
Cubic honeycomb
The cubic honeycomb or cubic cellulation is the only regular space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of cubic cells.
New!!: Schläfli symbol and Cubic honeycomb · See more »
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
New!!: Schläfli symbol and Cuboctahedron · See more »
Dodecagon
In geometry, a dodecagon or 12-gon is any twelve-sided polygon.
New!!: Schläfli symbol and Dodecagon · See more »
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
New!!: Schläfli symbol and Dodecahedron · See more »
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.
New!!: Schläfli symbol and Dual polyhedron · See more »
Duoprism
In geometry of 4 dimensions or higher, a duoprism is a polytope resulting from the Cartesian product of two polytopes, each of two dimensions or higher.
New!!: Schläfli symbol and Duoprism · See more »
Duopyramid
In geometry of 4 dimensions or higher, a duopyramid or fusil is a polytope constructed by 2 orthogonal polytopes with edges connecting all pairs of vertices between the two.
New!!: Schläfli symbol and Duopyramid · See more »
Elongated triangular tiling
In geometry, the elongated triangular tiling is a semiregular tiling of the Euclidean plane.
New!!: Schläfli symbol and Elongated triangular tiling · See more »
Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides are equal.
New!!: Schläfli symbol and Equilateral triangle · See more »
Euclidean geometry
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.
New!!: Schläfli symbol and Euclidean geometry · See more »
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
New!!: Schläfli symbol and Euclidean space · See more »
Expansion (geometry)
In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.
New!!: Schläfli symbol and Expansion (geometry) · See more »
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.
New!!: Schläfli symbol and Face (geometry) · See more »
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.
New!!: Schläfli symbol and Facet (geometry) · See more »
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.
New!!: Schläfli symbol and Geometry · See more »
Great duoantiprism
The great duoantiprism is the only uniform star-duoantiprism solution p.
New!!: Schläfli symbol and Great duoantiprism · See more »
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
New!!: Schläfli symbol and Harold Scott MacDonald Coxeter · See more »
Heptagonal tiling
In geometry, the heptagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Heptagonal tiling · See more »
Hexagon
In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.
New!!: Schläfli symbol and Hexagon · See more »
Hexagonal tiling
In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which three hexagons meet at each vertex.
New!!: Schläfli symbol and Hexagonal tiling · See more »
Hexagram
A hexagram (Greek) or sexagram (Latin) is a six-pointed geometric star figure with the Schläfli symbol, 2, or.
New!!: Schläfli symbol and Hexagram · See more »
Hexaoctagonal tiling
In geometry, the hexaoctagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Hexaoctagonal tiling · See more »
Hosohedron
In geometry, an ''n''-gonal hosohedron is a tessellation of lunes on a spherical surface, such that each lune shares the same two polar opposite vertices.
New!!: Schläfli symbol and Hosohedron · See more »
Hyperbolic geometry
In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.
New!!: Schläfli symbol and Hyperbolic geometry · See more »
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.
New!!: Schläfli symbol and Hyperbolic space · See more »
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
New!!: Schläfli symbol and Hypercube · See more »
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.
New!!: Schläfli symbol and Icosahedral symmetry · See more »
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
New!!: Schläfli symbol and Icosahedron · See more »
Infinite-order apeirogonal tiling
In geometry, the infinite-order apeirogonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Infinite-order apeirogonal tiling · See more »
Infinite-order pentagonal tiling
In 2-dimensional hyperbolic geometry, the infinite-order pentagonal tiling is a regular tiling.
New!!: Schläfli symbol and Infinite-order pentagonal tiling · See more »
Infinite-order square tiling
In geometry, the infinite-order square tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Infinite-order square tiling · See more »
Infinite-order triangular tiling
In geometry, the infinite-order triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of.
New!!: Schläfli symbol and Infinite-order triangular tiling · See more »
Irreducible fraction
An irreducible fraction (or fraction in lowest terms or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and -1, when negative numbers are considered).
New!!: Schläfli symbol and Irreducible fraction · See more »
Isosceles triangle
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
New!!: Schläfli symbol and Isosceles triangle · See more »
Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
New!!: Schläfli symbol and Kepler–Poinsot polyhedron · See more »
Line segment
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
New!!: Schläfli symbol and Line segment · See more »
List of regular polytopes and compounds
This page lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces.
New!!: Schläfli symbol and List of regular polytopes and compounds · See more »
Ludwig Schläfli
Ludwig Schläfli (15 January 1814 – 20 March 1895) was a Swiss mathematician, specialising in geometry and complex analysis (at the time called function theory) who was one of the key figures in developing the notion of higher-dimensional spaces.
New!!: Schläfli symbol and Ludwig Schläfli · See more »
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
New!!: Schläfli symbol and Norman Johnson (mathematician) · See more »
Octagonal tiling
In geometry, the octagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Octagonal tiling · See more »
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.
New!!: Schläfli symbol and Octahedral symmetry · See more »
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
New!!: Schläfli symbol and Octahedron · See more »
Omnitruncation
In geometry, an omnitruncation is an operation applied to a regular polytope (or honeycomb) in a Wythoff construction that creates a maximum number of facets.
New!!: Schläfli symbol and Omnitruncation · See more »
Order of operations
In mathematics and computer programming, the order of operations (or operator precedence) is a collection of rules that reflect conventions about which procedures to perform first in order to evaluate a given mathematical expression.
New!!: Schläfli symbol and Order of operations · See more »
Order-3 apeirogonal tiling
In geometry, the order-3 apeirogonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-3 apeirogonal tiling · See more »
Order-4 apeirogonal tiling
In geometry, the order-4 apeirogonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-4 apeirogonal tiling · See more »
Order-4 dodecahedral honeycomb
In the geometry of hyperbolic 3-space, the order-4 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs).
New!!: Schläfli symbol and Order-4 dodecahedral honeycomb · See more »
Order-4 heptagonal tiling
In geometry, the order-4 heptagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-4 heptagonal tiling · See more »
Order-4 hexagonal tiling
In geometry, the order-4 hexagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-4 hexagonal tiling · See more »
Order-4 octagonal tiling
In geometry, the order-4 octagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-4 octagonal tiling · See more »
Order-4 pentagonal tiling
In geometry, the order-4 pentagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-4 pentagonal tiling · See more »
Order-5 apeirogonal tiling
In geometry, the order-5 apeirogonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-5 apeirogonal tiling · See more »
Order-5 hexagonal tiling
In geometry, the order-5 hexagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-5 hexagonal tiling · See more »
Order-5 pentagonal tiling
In geometry, the order-5 pentagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-5 pentagonal tiling · See more »
Order-5 square tiling
In geometry, the order-5 square tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-5 square tiling · See more »
Order-6 hexagonal tiling
In geometry, the order-6 hexagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-6 hexagonal tiling · See more »
Order-6 octagonal tiling
In geometry, the order-6 octagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-6 octagonal tiling · See more »
Order-6 pentagonal tiling
In geometry, the order-6 pentagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-6 pentagonal tiling · See more »
Order-6 square tiling
In geometry, the order-6 square tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-6 square tiling · See more »
Order-7 heptagonal tiling
In geometry, the order-7 heptagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-7 heptagonal tiling · See more »
Order-7 square tiling
In geometry, the order-7 square tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-7 square tiling · See more »
Order-7 triangular tiling
In geometry, the order-7 triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of.
New!!: Schläfli symbol and Order-7 triangular tiling · See more »
Order-8 hexagonal tiling
In geometry, the order-8 hexagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-8 hexagonal tiling · See more »
Order-8 octagonal tiling
In geometry, the order-8 octagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-8 octagonal tiling · See more »
Order-8 square tiling
In geometry, the order-8 square tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-8 square tiling · See more »
Order-8 triangular tiling
In geometry, the order-8 triangular tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Order-8 triangular tiling · See more »
Palindrome
A palindrome is a word, number, or other sequence of characters which reads the same backward as forward, such as madam or racecar.
New!!: Schläfli symbol and Palindrome · See more »
Pentaapeirogonal tiling
In geometry, the pentaapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of r.
New!!: Schläfli symbol and Pentaapeirogonal tiling · See more »
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.
New!!: Schläfli symbol and Pentagon · See more »
Pentagram
A pentagram (sometimes known as a pentalpha or pentangle or a star pentagon) is the shape of a five-pointed star drawn with five straight strokes.
New!!: Schläfli symbol and Pentagram · See more »
Pentahexagonal tiling
In geometry, the pentahexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Pentahexagonal tiling · See more »
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
New!!: Schläfli symbol and Platonic solid · See more »
Point (geometry)
In modern mathematics, a point refers usually to an element of some set called a space.
New!!: Schläfli symbol and Point (geometry) · See more »
Polygram (geometry)
In geometry, a generalized polygon can be called a polygram, and named specifically by its number of sides, so a regular pentagram,, has 5 sides, and the regular hexagram, or 2 has 6 sides divided into two triangles.
New!!: Schläfli symbol and Polygram (geometry) · See more »
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.
New!!: Schläfli symbol and Polyhedron · See more »
Prism (geometry)
In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.
New!!: Schläfli symbol and Prism (geometry) · See more »
Pyramid (geometry)
In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.
New!!: Schläfli symbol and Pyramid (geometry) · See more »
Quarter order-6 square tiling
In geometry, the quarter order-6 square tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Quarter order-6 square tiling · See more »
Quasiregular polyhedron
In geometry, a quasiregular polyhedron is a semiregular polyhedron that has exactly two kinds of regular faces, which alternate around each vertex.
New!!: Schläfli symbol and Quasiregular polyhedron · See more »
Rectangle
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.
New!!: Schläfli symbol and Rectangle · See more »
Rectification (geometry)
In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
New!!: Schläfli symbol and Rectification (geometry) · See more »
Rectified 24-cell
In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra.
New!!: Schläfli symbol and Rectified 24-cell · See more »
Rectified tesseract
In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra.
New!!: Schläfli symbol and Rectified tesseract · See more »
Recursive definition
A recursive definition (or inductive definition) in mathematical logic and computer science is used to define the elements in a set in terms of other elements in the set (Aczel 1978:740ff).
New!!: Schläfli symbol and Recursive definition · See more »
Reflection symmetry
Reflection symmetry, line symmetry, mirror symmetry, mirror-image symmetry, is symmetry with respect to reflection.
New!!: Schläfli symbol and Reflection symmetry · See more »
Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
New!!: Schläfli symbol and Regular 4-polytope · See more »
Regular polygon
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
New!!: Schläfli symbol and Regular polygon · See more »
Regular polyhedron
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.
New!!: Schläfli symbol and Regular polyhedron · See more »
Regular polytope
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.
New!!: Schläfli symbol and Regular polytope · See more »
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
New!!: Schläfli symbol and Regular Polytopes (book) · See more »
Rhombicuboctahedron
In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.
New!!: Schläfli symbol and Rhombicuboctahedron · See more »
Rhombihexaoctagonal tiling
In geometry, the rhombihexaoctagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Rhombihexaoctagonal tiling · See more »
Rhombipentahexagonal tiling
In geometry, the rhombipentahexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Rhombipentahexagonal tiling · See more »
Rhombitetraapeirogonal tiling
In geometry, the rhombitetraapeirogonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Rhombitetraapeirogonal tiling · See more »
Rhombitetraheptagonal tiling
In geometry, the rhombitetraheptagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Rhombitetraheptagonal tiling · See more »
Rhombitetrahexagonal tiling
In geometry, the rhombitetrahexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Rhombitetrahexagonal tiling · See more »
Rhombitetraoctagonal tiling
In geometry, the rhombitetraoctagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Rhombitetraoctagonal tiling · See more »
Rhombitetrapentagonal tiling
In geometry, the rhombitetrapentagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Rhombitetrapentagonal tiling · See more »
Rhombitriapeirogonal tiling
In geometry, the rhombtriapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of rr.
New!!: Schläfli symbol and Rhombitriapeirogonal tiling · See more »
Rhombitriheptagonal tiling
In geometry, the rhombitriheptagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Rhombitriheptagonal tiling · See more »
Rhombitrihexagonal tiling
In geometry, the rhombitrihexagonal tiling is a semiregular tiling of the Euclidean plane.
New!!: Schläfli symbol and Rhombitrihexagonal tiling · See more »
Rhombitrioctagonal tiling
In geometry, the rhombitrioctagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Rhombitrioctagonal tiling · See more »
Rhombus
In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a simple (non-self-intersecting) quadrilateral whose four sides all have the same length.
New!!: Schläfli symbol and Rhombus · See more »
Runcinated tesseracts
In four-dimensional geometry, a runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract.
New!!: Schläfli symbol and Runcinated tesseracts · See more »
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
New!!: Schläfli symbol and Simplex · See more »
Snub (geometry)
In geometry, a snub is an operation applied to a polyhedron.
New!!: Schläfli symbol and Snub (geometry) · See more »
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.
New!!: Schläfli symbol and Snub 24-cell · See more »
Snub apeiroapeirogonal tiling
In geometry, the snub apeiroapeirogonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub apeiroapeirogonal tiling · See more »
Snub cube
In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles.
New!!: Schläfli symbol and Snub cube · See more »
Snub heptaheptagonal tiling
In geometry, the snub heptaheptagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub heptaheptagonal tiling · See more »
Snub hexahexagonal tiling
In geometry, the snub hexahexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub hexahexagonal tiling · See more »
Snub hexaoctagonal tiling
In geometry, the snub hexaoctagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub hexaoctagonal tiling · See more »
Snub octaoctagonal tiling
In geometry, the snub octaoctagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub octaoctagonal tiling · See more »
Snub order-6 square tiling
In geometry, the snub tetratritetragonal tiling or snub order-6 square tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub order-6 square tiling · See more »
Snub order-8 triangular tiling
In geometry, the snub tritetratrigonal tiling or snub order-8 triangular tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub order-8 triangular tiling · See more »
Snub pentahexagonal tiling
In geometry, the snub pentahexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub pentahexagonal tiling · See more »
Snub pentapentagonal tiling
In geometry, the snub pentapentagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub pentapentagonal tiling · See more »
Snub square tiling
In geometry, the snub square tiling is a semiregular tiling of the Euclidean plane.
New!!: Schläfli symbol and Snub square tiling · See more »
Snub tetraapeirogonal tiling
In geometry, the snub tetrapeirogonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub tetraapeirogonal tiling · See more »
Snub tetraheptagonal tiling
In geometry, the snub tetraheptagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub tetraheptagonal tiling · See more »
Snub tetrahexagonal tiling
In geometry, the snub tetrahexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub tetrahexagonal tiling · See more »
Snub tetraoctagonal tiling
In geometry, the snub tetraoctagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub tetraoctagonal tiling · See more »
Snub tetrapentagonal tiling
In geometry, the snub tetrapentagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub tetrapentagonal tiling · See more »
Snub triapeirogonal tiling
In geometry, the snub triapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of sr.
New!!: Schläfli symbol and Snub triapeirogonal tiling · See more »
Snub triheptagonal tiling
In geometry, the order-3 snub heptagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub triheptagonal tiling · See more »
Snub trihexagonal tiling
In geometry, the snub hexagonal tiling (or snub trihexagonal tiling) is a semiregular tiling of the Euclidean plane.
New!!: Schläfli symbol and Snub trihexagonal tiling · See more »
Snub trioctagonal tiling
In geometry, the order-3 snub octagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Snub trioctagonal tiling · See more »
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.
New!!: Schläfli symbol and Spherical polyhedron · See more »
Square
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
New!!: Schläfli symbol and Square · See more »
Square tiling
In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane.
New!!: Schläfli symbol and Square tiling · See more »
Star polygon
In geometry, a star polygon is a type of non-convex polygon.
New!!: Schläfli symbol and Star polygon · See more »
Stellated octahedron
The stellated octahedron is the only stellation of the octahedron.
New!!: Schläfli symbol and Stellated octahedron · See more »
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.
New!!: Schläfli symbol and Symmetry group · See more »
Tessellation
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.
New!!: Schläfli symbol and Tessellation · See more »
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.
New!!: Schläfli symbol and Tesseract · See more »
Tetraapeirogonal tiling
In geometry, the tetraapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of r.
New!!: Schläfli symbol and Tetraapeirogonal tiling · See more »
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.
New!!: Schläfli symbol and Tetrahedral symmetry · See more »
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.
New!!: Schläfli symbol and Tetrahedron · See more »
Tetraheptagonal tiling
In geometry, the tetraheptagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Tetraheptagonal tiling · See more »
Tetrahexagonal tiling
In geometry, the tetrahexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Tetrahexagonal tiling · See more »
Tetraoctagonal tiling
In geometry, the tetraoctagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Tetraoctagonal tiling · See more »
Tetrapentagonal tiling
In geometry, the tetrapentagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Tetrapentagonal tiling · See more »
Trapezohedron
The n-gonal trapezohedron, antidipyramid, antibipyramid or deltohedron is the dual polyhedron of an n-gonal antiprism.
New!!: Schläfli symbol and Trapezohedron · See more »
Triangle
A triangle is a polygon with three edges and three vertices.
New!!: Schläfli symbol and Triangle · See more »
Triangular tiling
In geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane.
New!!: Schläfli symbol and Triangular tiling · See more »
Triapeirogonal tiling
In geometry, the triapeirogonal tiling (or trigonal-horocyclic tiling) is a uniform tiling of the hyperbolic plane with a Schläfli symbol of r.
New!!: Schläfli symbol and Triapeirogonal tiling · See more »
Triheptagonal tiling
In geometry, the triheptagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 heptagonal tiling.
New!!: Schläfli symbol and Triheptagonal tiling · See more »
Trihexagonal tiling
In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons.
New!!: Schläfli symbol and Trihexagonal tiling · See more »
Trioctagonal tiling
In geometry, the trioctagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 octagonal tiling.
New!!: Schläfli symbol and Trioctagonal tiling · See more »
Truncated 24-cells
In geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell.
New!!: Schläfli symbol and Truncated 24-cells · See more »
Truncated cube
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid.
New!!: Schläfli symbol and Truncated cube · See more »
Truncated cuboctahedron
In geometry, the truncated cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron.
New!!: Schläfli symbol and Truncated cuboctahedron · See more »
Truncated heptagonal tiling
In geometry, the truncated heptagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated heptagonal tiling · See more »
Truncated hexagonal tiling
In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane.
New!!: Schläfli symbol and Truncated hexagonal tiling · See more »
Truncated hexaoctagonal tiling
In geometry, the truncated hexaoctagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated hexaoctagonal tiling · See more »
Truncated infinite-order square tiling
In geometry, the truncated infinite-order square tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated infinite-order square tiling · See more »
Truncated infinite-order triangular tiling
In geometry, the truncated infinite-order triangular tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of t.
New!!: Schläfli symbol and Truncated infinite-order triangular tiling · See more »
Truncated octagonal tiling
In geometry, the Truncated octagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated octagonal tiling · See more »
Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid.
New!!: Schläfli symbol and Truncated octahedron · See more »
Truncated order-3 apeirogonal tiling
In geometry, the truncated order-3 apeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of t.
New!!: Schläfli symbol and Truncated order-3 apeirogonal tiling · See more »
Truncated order-4 apeirogonal tiling
In geometry, the truncated order-4 apeirogonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-4 apeirogonal tiling · See more »
Truncated order-4 heptagonal tiling
In geometry, the truncated order-4 heptagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-4 heptagonal tiling · See more »
Truncated order-4 hexagonal tiling
In geometry, the truncated order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-4 hexagonal tiling · See more »
Truncated order-4 octagonal tiling
In geometry, the truncated order-4 octagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-4 octagonal tiling · See more »
Truncated order-4 pentagonal tiling
In geometry, the truncated order-4 pentagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-4 pentagonal tiling · See more »
Truncated order-5 hexagonal tiling
In geometry, the truncated order-5 hexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-5 hexagonal tiling · See more »
Truncated order-5 pentagonal tiling
In geometry, the truncated order-5 pentagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-5 pentagonal tiling · See more »
Truncated order-5 square tiling
In geometry, the truncated order-5 square tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-5 square tiling · See more »
Truncated order-6 hexagonal tiling
In geometry, the truncated order-6 hexagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-6 hexagonal tiling · See more »
Truncated order-6 octagonal tiling
In geometry, the truncated order-6 octagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-6 octagonal tiling · See more »
Truncated order-6 pentagonal tiling
In geometry, the truncated order-6 pentagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-6 pentagonal tiling · See more »
Truncated order-6 square tiling
In geometry, the truncated order-6 square tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-6 square tiling · See more »
Truncated order-7 heptagonal tiling
In geometry, the truncated order-7 heptagonal tiling is a regular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-7 heptagonal tiling · See more »
Truncated order-7 square tiling
In geometry, the truncated order-7 square tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-7 square tiling · See more »
Truncated order-7 triangular tiling
In geometry, the Order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-7 triangular tiling · See more »
Truncated order-8 hexagonal tiling
In geometry, the truncated order-8 hexagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-8 hexagonal tiling · See more »
Truncated order-8 octagonal tiling
In geometry, the truncated order-8 octagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-8 octagonal tiling · See more »
Truncated order-8 triangular tiling
In geometry, the Truncated order-8 triangular tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated order-8 triangular tiling · See more »
Truncated pentahexagonal tiling
In geometry, the truncated tetrahexagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated pentahexagonal tiling · See more »
Truncated square tiling
In geometry, the truncated square tiling is a semiregular tiling by regular polygons of the Euclidean plane with one square and two octagons on each vertex.
New!!: Schläfli symbol and Truncated square tiling · See more »
Truncated tesseract
In geometry, a truncated tesseract is a uniform 4-polytope formed as the truncation of the regular tesseract.
New!!: Schläfli symbol and Truncated tesseract · See more »
Truncated tetraapeirogonal tiling
In geometry, the truncated tetrapeirogonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated tetraapeirogonal tiling · See more »
Truncated tetraheptagonal tiling
In geometry, the truncated tetraheptagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated tetraheptagonal tiling · See more »
Truncated tetrahexagonal tiling
In geometry, the truncated tetrahexagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated tetrahexagonal tiling · See more »
Truncated tetraoctagonal tiling
In geometry, the truncated tetraoctagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated tetraoctagonal tiling · See more »
Truncated tetrapentagonal tiling
In geometry, the truncated tetrapentagonal tiling is a uniform tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated tetrapentagonal tiling · See more »
Truncated triapeirogonal tiling
In geometry, the truncated triapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of tr.
New!!: Schläfli symbol and Truncated triapeirogonal tiling · See more »
Truncated triheptagonal tiling
In geometry, the truncated triheptagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated triheptagonal tiling · See more »
Truncated trihexagonal tiling
In geometry, the truncated trihexagonal tiling is one of eight semiregular tilings of the Euclidean plane.
New!!: Schläfli symbol and Truncated trihexagonal tiling · See more »
Truncated trioctagonal tiling
In geometry, the truncated trioctagonal tiling is a semiregular tiling of the hyperbolic plane.
New!!: Schläfli symbol and Truncated trioctagonal tiling · See more »
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.
New!!: Schläfli symbol and Truncation (geometry) · See more »
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).
New!!: Schläfli symbol and Uniform tilings in hyperbolic plane · See more »
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
New!!: Schläfli symbol and Vertex figure · See more »
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
New!!: Schläfli symbol and 120-cell · See more »
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
New!!: Schläfli symbol and 16-cell · See more »
24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
New!!: Schläfli symbol and 24-cell · See more »
3-7 kisrhombille
In geometry, the 3-7 kisrhombille tiling is a semiregular dual tiling of the hyperbolic plane.
New!!: Schläfli symbol and 3-7 kisrhombille · See more »
4-5 kisrhombille
In geometry, the 4-5 kisrhombille or order-4 bisected pentagonal tiling is a semiregular dual tiling of the hyperbolic plane.
New!!: Schläfli symbol and 4-5 kisrhombille · See more »
4-polytope
In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.
New!!: Schläfli symbol and 4-polytope · See more »
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
New!!: Schläfli symbol and 5-cell · See more »
Redirects here:
Extended Schlafli symbol, Extended Schläfli symbol, Schlaefli symbol, Schlafli symbol.
References
[1] https://en.wikipedia.org/wiki/Schläfli_symbol
