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CONWAY TRIANGLE-NOTATION

  • Conway triangle notation
  • Notation for trigonometric relationships

    geometry, the Conway triangle notation simplifies and clarifies the algebraic expression of various trigonometric relationships in a triangle. Using the

    Conway triangle notation

    Conway_triangle_notation

  • Conway notation
  • Topics referred to by the same term

    theory) Conway polyhedron notation Conway triangle notation Orbifold notation This disambiguation page lists articles associated with the title Conway notation

    Conway notation

    Conway_notation

  • Conway polyhedron notation
  • Method of describing higher-order polyhedra

    In geometry and topology, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based

    Conway polyhedron notation

    Conway polyhedron notation

    Conway_polyhedron_notation

  • List of things named after John Horton Conway
  • four points Conway triangle notationnotation which allows trigonometric functions of a triangle to be managed algebraically Conway's 99-graph problem

    List of things named after John Horton Conway

    List_of_things_named_after_John_Horton_Conway

  • Conway's Game of Life
  • Two-dimensional cellular automaton

    Conway's Game of Life (sometimes abbreviated as CGoL) or simply Life, is a cellular automaton devised by the British mathematician John Horton Conway

    Conway's Game of Life

    Conway's Game of Life

    Conway's_Game_of_Life

  • Steinhaus–Moser notation
  • Notation for extremely large numbers

    triangle(256)...))) [256 triangles] = triangle(triangle(triangle(...triangle(256256)...))) [255 triangles] ~ triangle(triangle(triangle(...triangle(3.2317 × 10616)

    Steinhaus–Moser notation

    Steinhaus–Moser_notation

  • List of triangle topics
  • Congruence (geometry) Congruent isoscelizers point Contact triangle Conway triangle notation CPCTC Delaunay triangulation de Longchamps point Desargues'

    List of triangle topics

    List_of_triangle_topics

  • Orbifold notation
  • Notation for 2-dimensional spherical, euclidean and hyperbolic symmetry groups

    geometry, orbifold notation (or orbifold signature) is a system, invented by the mathematician William Thurston and promoted by John Conway, for representing

    Orbifold notation

    Orbifold_notation

  • Outline of trigonometry
  • Overview of and topical guide to trigonometry

    Solution of triangles Law of sines Law of cosines Law of tangents Law of cotangents Mollweide's formula Chebyshev polynomials Conway triangle notation Exact

    Outline of trigonometry

    Outline of trigonometry

    Outline_of_trigonometry

  • History of mathematical notation
  • Origin and evolution of the symbols used to write equations and formulas

    including the Conway chained arrow notation, the Conway notation of knot theory, and the Conway polyhedron notation. The Coxeter notation system classifies

    History of mathematical notation

    History_of_mathematical_notation

  • Coxeter notation
  • Classification system for symmetry groups in geometry

    In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between fundamental reflections of

    Coxeter notation

    Coxeter notation

    Coxeter_notation

  • Rectified prism
  • Type of polyhedron

    truncating the vertices down to the midpoint of the original edges. In Conway polyhedron notation, it is represented as aPn, an ambo-prism. The lateral squares

    Rectified prism

    Rectified prism

    Rectified_prism

  • Conway group
  • Four finite groups derived from the Leech lattice

    isomorphic to subgroups or quotients of subgroups of Co0. Conway himself employed a notation for stabilizers of points and subspaces where he prefixed

    Conway group

    Conway group

    Conway_group

  • Rectified truncated icosahedron
  • Near-miss Johnson solid with 92 faces

    causing the triangles to be isosceles instead. The shape is a symmetrohedron with notation I(1,2,*,[2]) By Conway polyhedron notation, the dual polyhedron

    Rectified truncated icosahedron

    Rectified truncated icosahedron

    Rectified_truncated_icosahedron

  • Snub (geometry)
  • Geometric operation applied to a polyhedron

    uniform polytopes. John Conway explored generalized polyhedron operators, defining what is now called Conway polyhedron notation, which can be applied to

    Snub (geometry)

    Snub (geometry)

    Snub_(geometry)

  • List of spherical symmetry groups
  • groups by Schoenflies notation, Coxeter notation, orbifold notation, and order. John Conway used a variation of the Schoenflies notation, based on the groups'

    List of spherical symmetry groups

    List_of_spherical_symmetry_groups

  • Wallpaper group
  • Classification of a two-dimensional repetitive pattern

    full notation. The remaining names are p1, p2, p3, p3m1, p31m, p4, and p6. Orbifold notation for wallpaper groups, advocated by John Conway (Conway, 1992)

    Wallpaper group

    Wallpaper group

    Wallpaper_group

  • Chamfer (geometry)
  • Geometric operation which truncates the edges of polyhedra

    adds a new hexagonal face in place of each original edge. In Conway polyhedron notation, chamfering is represented by the letter "c". A polyhedron with

    Chamfer (geometry)

    Chamfer (geometry)

    Chamfer_(geometry)

  • Snub rhombicuboctahedron
  • rhombicuboctahedron. It has 74 faces: 18 squares, and 56 triangles. It can also be called the Conway snub cuboctahedron in but will be confused with the Coxeter

    Snub rhombicuboctahedron

    Snub rhombicuboctahedron

    Snub_rhombicuboctahedron

  • Borromean rings
  • Three linked but pairwise separated rings

    Alexander–Briggs notation "63 2", meaning that this is the second of three 6-crossing 3-component links to be listed. The Conway notation for the Borromean

    Borromean rings

    Borromean rings

    Borromean_rings

  • Geodesic polyhedron
  • Polyhedron made from triangles that approximates a sphere

    triangular grids to mark out patterns, with triangles colored or excluded in the models. Conway polyhedron notation – Method of describing higher-order polyhedra

    Geodesic polyhedron

    Geodesic polyhedron

    Geodesic_polyhedron

  • Rectified truncated cube
  • Convex polyhedron with 38 faces

    Symmetries of Things 2008, ISBN 978-1-56881-220-5 George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input v t e

    Rectified truncated cube

    Rectified truncated cube

    Rectified_truncated_cube

  • Complete graph
  • Graph in which every two vertices are adjacent

    as Conway and Gordon proved, every embedding of K6 into three-dimensional space is intrinsically linked, with at least one pair of linked triangles. Conway

    Complete graph

    Complete graph

    Complete_graph

  • Antiprism
  • Polyhedron with parallel bases connected by triangles

    polygon, connected by an alternating band of 2n triangles. They are represented by the Conway notation An. Antiprisms are a subclass of prismatoids, and

    Antiprism

    Antiprism

    Antiprism

  • Rectified truncated tetrahedron
  • Convex polyhedron with 20 faces

    Symmetries of Things 2008, ISBN 978-1-56881-220-5 George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input v t e

    Rectified truncated tetrahedron

    Rectified truncated tetrahedron

    Rectified_truncated_tetrahedron

  • Rectified truncated dodecahedron
  • Convex polyhedron with 92 faces

    Symmetries of Things 2008, ISBN 978-1-56881-220-5 George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input v t e

    Rectified truncated dodecahedron

    Rectified truncated dodecahedron

    Rectified_truncated_dodecahedron

  • Rhombitrihexagonal tiling
  • Semiregular tiling of the Euclidean plane

    Euclidean plane. There are one triangle, two squares, and one hexagon on each vertex. It has Schläfli symbol of rr{3,6}. John Conway calls it a rhombihexadeltille

    Rhombitrihexagonal tiling

    Rhombitrihexagonal tiling

    Rhombitrihexagonal_tiling

  • Icositetrahedron
  • Polyhedron with 24 faces

    symbol is {22}×{} or t{2,22}, its Coxeter diagram is , and its Conway polyhedron notation is P22. The surface area S {\displaystyle S} and volume V {\displaystyle

    Icositetrahedron

    Icositetrahedron

    Icositetrahedron

  • Point groups in four dimensions
  • Coxeter, Regular and Semi-Regular Polytopes II, Coxeter notation for 4D point groups 2003 John Conway and Smith, On Quaternions and Octonions, Completed quaternion-based

    Point groups in four dimensions

    Point groups in four dimensions

    Point_groups_in_four_dimensions

  • Cantellation (geometry)
  • Geometric operation on a regular polytope

    regular polytope to its birectified form. Chamfer (geometry) Conway polyhedron notation Uniform 4-polytope Uniform polyhedron Coxeter, H.S.M. Regular

    Cantellation (geometry)

    Cantellation (geometry)

    Cantellation_(geometry)

  • Truncated trihexagonal tiling
  • Uniform tiling of the Euclidean plane

    triangle face has three types of vertices: one with 4 triangles, one with 6 triangles, and one with 12 triangles. The kisrhombille tiling triangles represent

    Truncated trihexagonal tiling

    Truncated trihexagonal tiling

    Truncated_trihexagonal_tiling

  • Tessellation
  • Covering by shapes without overlaps or gaps

    the Schläfli symbol notation to make it easy to describe polytopes. For example, the Schläfli symbol for an equilateral triangle is {3}, while that for

    Tessellation

    Tessellation

    Tessellation

  • Tetragonal disphenoid honeycomb
  • cells. Cells are face-transitive with 4 identical isosceles triangle faces. John Horton Conway calls it an oblate tetrahedrille or shortened to obtetrahedrille

    Tetragonal disphenoid honeycomb

    Tetragonal disphenoid honeycomb

    Tetragonal_disphenoid_honeycomb

  • Heptagon
  • Shape with seven sides

    vertices at the center and at the heptagon's vertices, and then halving each triangle using the apothem as the common side. The apothem is half the cotangent

    Heptagon

    Heptagon

    Heptagon

  • Hexapentakis truncated icosahedron
  • Geodesic polyhedron with 180 faces

    archived from the original on July 4, 2008 Reprinted by Dover 1999 ISBN 978-0-486-40921-4 VTML polyhedral generator Try "ktI" (Conway polyhedron notation)

    Hexapentakis truncated icosahedron

    Hexapentakis truncated icosahedron

    Hexapentakis_truncated_icosahedron

  • Circle Limit III
  • 1959 woodcut by M. C. Escher

    of its triangles and squares, respectively, and order-three rotational symmetry at the points where the white curves cross. In John Conway's orbifold

    Circle Limit III

    Circle_Limit_III

  • Danzer set
  • Set of points touching all convex bodies of unit volume

    have growth rate O ( r d ) {\displaystyle O(r^{d})} , expressed in big O notation. If so, this would equal the growth rate of well-spaced point sets like

    Danzer set

    Danzer set

    Danzer_set

  • Disdyakis triacontahedron
  • Catalan solid with 120 faces

    order 2,3,n mirrors at each triangle face vertex. This is *n32 in orbifold notation, and [n,3] in Coxeter notation. Conway, Symmetries of things, p.284

    Disdyakis triacontahedron

    Disdyakis triacontahedron

    Disdyakis_triacontahedron

  • Hexagonal bipyramid
  • Polyhedron; 2 hexagonal pyramids joined base-to-base

    Polyhedra The Encyclopedia of Polyhedra VRML model hexagonal dipyramid Archived 2021-04-14 at the Wayback Machine Conway Notation for Polyhedra Try: dP6

    Hexagonal bipyramid

    Hexagonal bipyramid

    Hexagonal_bipyramid

  • Rectified truncated octahedron
  • Convex polyhedron with 38 faces

    Symmetries of Things 2008, ISBN 978-1-56881-220-5 George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input v t e

    Rectified truncated octahedron

    Rectified truncated octahedron

    Rectified_truncated_octahedron

  • Expanded cuboctahedron
  • Type of polyhedron

    George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input Variations on a Rhombic Theme www.software3d.com: Prism-Expanded

    Expanded cuboctahedron

    Expanded cuboctahedron

    Expanded_cuboctahedron

  • Tetrakis square tiling
  • factor of √2. Conway, Burgiel, and Goodman-Strauss call it a kisquadrille, represented by a kis operation that adds a center point and triangles to replace

    Tetrakis square tiling

    Tetrakis square tiling

    Tetrakis_square_tiling

  • Elongated triangular tiling
  • Semiregular tiling of the plane

    triangles and two squares on each vertex. It is named as a triangular tiling elongated by rows of squares, and given Schläfli symbol {3,6}:e. Conway calls

    Elongated triangular tiling

    Elongated triangular tiling

    Elongated_triangular_tiling

  • Truncated cube
  • Archimedean solid with 14 faces

    The Uniform Polyhedra Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra VRML model Conway Notation for Polyhedra Try: "tC"

    Truncated cube

    Truncated cube

    Truncated_cube

  • Uniform tilings in hyperbolic plane
  • Symmetric subdivision in hyperbolic geometry

    face-transitive) or semi-regular (if neither edge- nor face-transitive). For right triangles (p q 2), there are two regular tilings, represented by Schläfli symbol

    Uniform tilings in hyperbolic plane

    Uniform_tilings_in_hyperbolic_plane

  • Nonagon
  • Shape with nine sides

    These gaps can be filled with regular hexagons and isosceles triangles. In the notation of symmetrohedron this tiling is called H(*;3;*;[2]) with H representing

    Nonagon

    Nonagon

    Nonagon

  • Locally linear graph
  • Graph where every edge is in one triangle

    graph is an undirected graph in which every edge belongs to exactly one triangle. Equivalently, for each vertex of the graph, its neighbors are each adjacent

    Locally linear graph

    Locally linear graph

    Locally_linear_graph

  • Goldberg polyhedron
  • Convex polyhedron made from hexagons and pentagons

    demonstrated here. Most Goldberg polyhedra can be constructed using Conway polyhedron notation starting with (T)etrahedron, (C)ube, and (D)odecahedron seeds

    Goldberg polyhedron

    Goldberg polyhedron

    Goldberg_polyhedron

  • Tetrakis hexahedron
  • Catalan solid with 24 faces

    of Polyhedra VRML model Archived 2021-11-22 at the Wayback Machine Conway Notation for Polyhedra Try: "dtO" or "kC" Tetrakis Hexahedron – Interactive

    Tetrakis hexahedron

    Tetrakis hexahedron

    Tetrakis_hexahedron

  • Quarter order-6 square tiling
  • orbifold notation, and can be seen as a half symmetry of *443 and *662, and quarter symmetry of *642. Projections centered on a vertex, triangle and hexagon:

    Quarter order-6 square tiling

    Quarter order-6 square tiling

    Quarter_order-6_square_tiling

  • Hexagonal pyramid
  • Polyhedron with 7 faces

    Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra Conway Notation for Polyhedra Try: "Y6" [1] Hexagonal pyramid - Polytope Wiki

    Hexagonal pyramid

    Hexagonal pyramid

    Hexagonal_pyramid

  • Bicupola
  • Solid made from 2 cupolae joined base-to-base

    orbifold notation, in this order. An n-gonal gyrobicupola has the same topology as an n-gonal rectified antiprism, Conway polyhedron notation: aAn.[clarification

    Bicupola

    Bicupola

  • Bell number
  • Count of the possible partitions of a set

    a , b , c } } . {\displaystyle \{\{a,b,c\}\}.} As suggested by the set notation above, the ordering of subsets within the family is not considered; ordered

    Bell number

    Bell number

    Bell_number

  • Rule 90
  • Elementary cellular automaton

    live cell, Rule 90 has a time-space diagram in the form of a Sierpiński triangle. The behavior of any other configuration can be explained as a superposition

    Rule 90

    Rule 90

    Rule_90

  • Triakis octahedron
  • Catalan solid with 24 faces

    Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra VRML model Archived 2018-10-11 at the Wayback Machine Conway Notation for Polyhedra Try: "dtC"

    Triakis octahedron

    Triakis octahedron

    Triakis_octahedron

  • Expanded icosidodecahedron
  • Type of polyhedron

    George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input, [1] VRML model Convex Polyhedra containing Golden Rhombi:

    Expanded icosidodecahedron

    Expanded icosidodecahedron

    Expanded_icosidodecahedron

  • Orthotransversal
  • One of triangle line

    _{C})+b^{2}rp:r(pS_{A}+qS_{B}-rS_{C})+c^{2}pq,} where SA,SB,SC are Conway notation. The Locus of points P that P, P⊥, and Q are collinear is a cubic curve

    Orthotransversal

    Orthotransversal

    Orthotransversal

  • Truncated rhombicuboctahedron
  • Type of polyhedron

    ISBN 978-1-56881-220-5 George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input Prism Expansions [1] Toroid model

    Truncated rhombicuboctahedron

    Truncated rhombicuboctahedron

    Truncated_rhombicuboctahedron

  • Point group
  • Group of geometric symmetries with at least one fixed point

    and is represented by a Coxeter–Dynkin diagram. Coxeter notation offers a bracketed notation equivalent to the Coxeter diagram, with markup symbols for

    Point group

    Point group

    Point_group

  • Penrose tiling
  • Non-periodic tiling of the plane

    independently discovered by Robert Ammann in 1976. Penrose and John H. Conway investigated the properties of Penrose tilings, and discovered that a substitution

    Penrose tiling

    Penrose tiling

    Penrose_tiling

  • Pentakis snub dodecahedron
  • ISBN 978-0-521-29432-4, MR 0552023 Dover 1999 ISBN 978-0-486-40921-4 Pentakis snub dodecahedron VTML polyhedral generator Try "k5sD" (Conway polyhedron notation) v t e

    Pentakis snub dodecahedron

    Pentakis snub dodecahedron

    Pentakis_snub_dodecahedron

  • Bernoulli number
  • Rational number sequence

    authors write "Bn" instead of B2n . This article does not follow that notation. The Bernoulli numbers are rooted in the early history of the computation

    Bernoulli number

    Bernoulli_number

  • Vertex configuration
  • Notation for a polyhedron's vertex figure

    faces, alternating triangles and pentagons. This vertex configuration defines the vertex-transitive icosidodecahedron. The notation is cyclic and therefore

    Vertex configuration

    Vertex configuration

    Vertex_configuration

  • Trihexagonal tiling
  • Tiling of a plane by regular hexagons and equilateral triangles

    polygons. It consists of equilateral triangles and regular hexagons, arranged so that each hexagon is surrounded by triangles and vice versa. The name derives

    Trihexagonal tiling

    Trihexagonal tiling

    Trihexagonal_tiling

  • Deltoidal icositetrahedron
  • Catalan solid with 24 kite faces

    onto a regular octahedron divides its equilateral triangles into kite faces. In Conway polyhedron notation this represents an ortho operation to a cube or

    Deltoidal icositetrahedron

    Deltoidal icositetrahedron

    Deltoidal_icositetrahedron

  • Gyroelongated bipyramid
  • Polyhedron formed by capping an antiprism with pyramids

    Mathematics Magazine. 51 (1): 55–57. doi:10.2307/2689647. JSTOR 2689647. Conway Notation for Polyhedra Try: "knAn", where n=4,5,6... example "k5A5" is an icosahedron

    Gyroelongated bipyramid

    Gyroelongated bipyramid

    Gyroelongated_bipyramid

  • Elongated pentagonal orthobirotunda
  • 42nd Johnson solid (42 faces)

    pentagonal orthobirotunda is one of the Johnson solids (J42). Its Conway polyhedron notation is at5jP5. As the name suggests, it can be constructed by elongating

    Elongated pentagonal orthobirotunda

    Elongated pentagonal orthobirotunda

    Elongated_pentagonal_orthobirotunda

  • Truncated trapezohedron
  • Polyhedron made by cutting off a trapezohedron's polar vertices

    America. p. 52. ISBN 978-1-4704-7184-2. Alsina & Nelsen (2023), p. 53. Conway Notation for Polyhedra Try: "tndAn", where n=4,5,6... example "t5dA5" is a dodecahedron

    Truncated trapezohedron

    Truncated trapezohedron

    Truncated_trapezohedron

  • Unknot
  • Loop seen as a trivial knot

    but the Kinoshita–Terasaka knot and Conway knot (both of which have 11 crossings) have the same Alexander and Conway polynomials as the unknot. It is an

    Unknot

    Unknot

    Unknot

  • Heptadecahedron
  • Polyhedron with 17 faces

    Schläfli notation, it can be denoted as {15}×{} or t{2,15}, and its Coxeter-Dynkin diagram is given by ; its Wythoff symbol is 2 15 | 2, and in Conway polyhedron

    Heptadecahedron

    Heptadecahedron

    Heptadecahedron

  • Lattice (group)
  • Periodic set of points

    lattice Λ {\displaystyle \Lambda } is given in IUCr notation, Orbifold notation, and Coxeter notation, along with a wallpaper diagram showing the symmetry

    Lattice (group)

    Lattice (group)

    Lattice_(group)

  • Omnitruncated polyhedron
  • generally, an omnitruncated polyhedron is a bevel operator in Conway polyhedron notation. There are three convex forms. These forms can be seen as red

    Omnitruncated polyhedron

    Omnitruncated_polyhedron

  • Triakis truncated tetrahedron
  • Space-filling polyhedron with 16 faces

    tetrahedron is a convex polyhedron made from 4 hexagons and 12 isosceles triangles. It can be used to tessellate three-dimensional space, making the triakis

    Triakis truncated tetrahedron

    Triakis truncated tetrahedron

    Triakis_truncated_tetrahedron

  • Triangular bifrustum
  • Polyhedron created by truncating a triangular bipyramid

    Nano Letters, 9 (8): 3038–3041, Bibcode:2009NanoL...9.3038Y, doi:10.1021/nl901513g, PMC 3930336, PMID 19603815. Conway Notation for Polyhedra Try: t3dP3

    Triangular bifrustum

    Triangular bifrustum

    Triangular_bifrustum

  • Snub cube
  • Archimedean solid with 38 faces

    is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles. It has 60 edges and 24 vertices. Kepler first named it in Latin as cubus

    Snub cube

    Snub cube

    Snub_cube

  • Knot (mathematics)
  • Operation combining two oriented knots

    Unknotting no. and problem Notation and operations Alexander–Briggs notation Conway notation Dowker–Thistlethwaite notation Flype Mutation Reidemeister

    Knot (mathematics)

    Knot (mathematics)

    Knot_(mathematics)

  • Polygon
  • Plane figure bounded by line segments

    vertices or corners. An n-gon is a polygon with n sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. More

    Polygon

    Polygon

  • Goldberg–Coxeter construction
  • Graph operation

    cube Loop subdivision surface Catmull–Clark subdivision surface Conway polyhedron notation This simplifies the definition of the equivalence class, makes

    Goldberg–Coxeter construction

    Goldberg–Coxeter construction

    Goldberg–Coxeter_construction

  • Vertex figure
  • Shape made by slicing off a corner of a polytope

    vertex configuration notation, by listing the faces in sequence around the vertex. For example 3.4.4.4 is a vertex with one triangle and three squares,

    Vertex figure

    Vertex figure

    Vertex_figure

  • Pentagonal trapezohedron
  • Polyhedron with 10 faces

    Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra VRML model Archived 2018-02-24 at the Wayback Machine Conway Notation for Polyhedra Try: "dA5"

    Pentagonal trapezohedron

    Pentagonal trapezohedron

    Pentagonal_trapezohedron

  • Exceptional object
  • exceptional Schwarz triangles (triangles that tile the sphere, or more generally Euclidean plane or hyperbolic plane via their triangle group of reflections

    Exceptional object

    Exceptional object

    Exceptional_object

  • Regular octahedron
  • Solid with eight equal triangular faces

    Other Semi-Regular Polyhedra The Uniform Polyhedra Virtual Reality Polyhedra – The Encyclopedia of Polyhedra Conway Notation for Polyhedra – Try: dP4

    Regular octahedron

    Regular octahedron

    Regular_octahedron

  • Point groups in three dimensions
  • Groups of point isometries in 3 dimensions

    6.5 The binary polyhedral groups, p. 68 Conway, John Horton; Huson, Daniel H. (2002), "The Orbifold Notation for Two-Dimensional Groups", Structural Chemistry

    Point groups in three dimensions

    Point_groups_in_three_dimensions

  • 1000 (number)
  • general notation; 1 × 103—in engineering notation, which for this number coincides with: 1 × 103 exactly—in scientific normalized exponential notation; 1 E+3

    1000 (number)

    1000_(number)

  • Rhombicosidodecahedron
  • Archimedean solid with 62 faces

    away from the origin the right amount, rotating each face so that each triangle vertex continues to touch a pentagon vertex, without changing the size

    Rhombicosidodecahedron

    Rhombicosidodecahedron

    Rhombicosidodecahedron

  • David Singmaster
  • British mathematician (1938–2023)

    providing one of the first published solutions. The book contained his cube notation which allowed the recording of Rubik's Cube moves, and which quickly became

    David Singmaster

    David Singmaster

    David_Singmaster

  • Pentagram
  • Five-pointed star polygon

    triangles: five acute and five obtuse isosceles triangles. In all of them, the ratio of the longer side to the shorter side is φ. The acute triangles

    Pentagram

    Pentagram

    Pentagram

  • Pascal's theorem
  • Theorem in projective geometry

    that for a triangle, the three points that appear as the intersection of a side line with the corresponding side line of the Gergonne triangle, are collinear

    Pascal's theorem

    Pascal's theorem

    Pascal's_theorem

  • Disdyakis dodecahedron
  • Catalan solid with 48 faces

    and (c, c, 0), which do not coincide. "Keyword: "forms" | ClipArt ETC". Conway, Symmetries of things, p.284 Langer, Joel C.; Singer, David A. (2010), "Reflections

    Disdyakis dodecahedron

    Disdyakis dodecahedron

    Disdyakis_dodecahedron

  • Doo–Sabin subdivision surface
  • Type of polygon mesh in computer graphics

    moved apart after being separated, and new facets are formed Conway polyhedron notation - a set of related topological polyhedron and polygonal mesh operators

    Doo–Sabin subdivision surface

    Doo–Sabin subdivision surface

    Doo–Sabin_subdivision_surface

  • Dichromatic symmetry
  • Two-colour symmetry (examples, history and dimensional counts)

    as a triangle, and apply a colour change resulting in a black triangle. Applying the colour change once more yields the original white triangle. The colour

    Dichromatic symmetry

    Dichromatic symmetry

    Dichromatic_symmetry

  • Complex number
  • Number with a real and an imaginary part

    Every triangle has a unique Steiner inellipse – an ellipse inside the triangle and tangent to the midpoints of the three sides of the triangle. The foci

    Complex number

    Complex number

    Complex_number

  • Addition
  • Arithmetic operation

    1 2 = 3.5. {\displaystyle 3{\frac {1}{2}}=3+{\frac {1}{2}}=3.5.} This notation can cause confusion, since in most other contexts, juxtaposition denotes

    Addition

    Addition

    Addition

  • Regular 4-polytope
  • Four-dimensional analogues of the regular polyhedra in three dimensions

    and given in the notation described in that article. The number following the name of the group is the order of the group. John Conway advocated the names

    Regular 4-polytope

    Regular 4-polytope

    Regular_4-polytope

  • Bitruncated cubic honeycomb
  • Space-filling tessellation

    and vertex-transitive. It is one of 28 uniform honeycombs. John Horton Conway calls this honeycomb a truncated octahedrille in his Architectonic and catoptric

    Bitruncated cubic honeycomb

    Bitruncated cubic honeycomb

    Bitruncated_cubic_honeycomb

  • Square
  • Shape with four equal sides and angles

    Squares can be inscribed in any smooth or convex curve, such as a circle or triangle, but it remains unsolved whether a square can be inscribed in every simple

    Square

    Square

    Square

  • Glide reflection
  • Geometric transformation combining reflection and translation

    translation. It can also be given a Schoenflies notation as S2∞, Coxeter notation as [∞+,2+], and orbifold notation as ∞×. In the Euclidean plane, reflections

    Glide reflection

    Glide reflection

    Glide_reflection

  • Hexagonal tiling
  • Regular tiling of a two-dimensional space

    or t{3,6} (as a truncated triangular tiling). English mathematician John Conway called it a hextille. The internal angle of the hexagon is 120 degrees,

    Hexagonal tiling

    Hexagonal tiling

    Hexagonal_tiling

  • Pentakis dodecahedron
  • Catalan solid with 60 faces

    Page 18, Pentakisdodecahedron) The Symmetries of Things 2008, John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, ISBN 978-1-56881-220-5 [2] (Chapter

    Pentakis dodecahedron

    Pentakis dodecahedron

    Pentakis_dodecahedron

  • History of mathematics
  • origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and worldwide spread of knowledge, written

    History of mathematics

    History of mathematics

    History_of_mathematics

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  • CONRAD
  • Male

    English

    CONRAD

     Variant spelling of German Konrad, CONRAD means "bold counsel." In use by the English.

    CONRAD

  • Longway
  • Surname or Lastname

    English

    Longway

    English : possibly a topographic name from Middle English long ‘long’ + weye ‘way’, ‘road’, or a habitational name from some minor place so named; Longway Bank in Derbyshire, however, is named from Old English lang ‘long’ + hōh ‘hill spur’.

    Longway

  • Holway
  • Surname or Lastname

    English

    Holway

    English : variant of Holloway, possibly specifically from Holway in Somerset.

    Holway

  • Norway
  • Boy/Male

    Shakespearean

    Norway

    Hamlet, Prince of Denmark' Fortinbras, Prince of Norway.

    Norway

  • Donnay
  • Surname or Lastname

    English

    Donnay

    English : variant of Donat.Possibly a respelling of French Donné, also a variant of Donat.

    Donnay

  • COWAL
  • Male

    English

    COWAL

    Anglicized form of Irish Gaelic Comhghall, COWAL means "joint pledge."

    COWAL

  • Conwy
  • Boy/Male

    Welsh

    Conwy

    Holy river. Place-name and surname.

    Conwy

  • CONLEY
  • Male

    English

    CONLEY

    Anglicized form of Irish Gaelic Conláed, CONLEY means "purifying fire."

    CONLEY

  • Ringle
  • Surname or Lastname

    English

    Ringle

    English : from the Old English personal name Hringwulf.German : from a short form of a Germanic personal name based on hring ‘ring’.German : metonymic occupational name for a ring maker (see Ringler).German : altered spelling of Ringel, an Old Prussian personal name.

    Ringle

  • Rodway
  • Surname or Lastname

    English

    Rodway

    English : habitational name from Rodway in Somerset, Radway in Warwickshire or Devon, or Reddaway or Roadway, both in Devon. The modern surname appears to relate principally to the Warwickshire place name, which is from Old English rēad ‘red’ (or possibly rād ‘ride’) + weg ‘way’.

    Rodway

  • Conway
  • Boy/Male

    Australian, Christian, German, Greek, Irish, Welsh

    Conway

    Hound of the Plain; Holy River

    Conway

  • Conny
  • Boy/Male

    Australian, Finnish, French, German, Irish, Swedish

    Conny

    Brave Adviser; Strong; Wild; Steadfast; Brave; Strong Willed; Wise; Constant; Diminutive of Conrad

    Conny

  • Coney
  • Surname or Lastname

    English

    Coney

    English : from Middle English cony ‘rabbit’ (a back-formation from conies, from Old French conis, plural of conil), a nickname for someone thought to resemble a rabbit in some way or a metonymic occupational name for a dealer in rabbits or rabbit skins.

    Coney

  • Conway
  • Male

    English

    Conway

    Hound in the Plain

    Conway

  • Tingle
  • Surname or Lastname

    English

    Tingle

    English : metonymic occupational name for a maker of nails or pins, or nickname for a small, thin man, from Middle English tingle, a kind of very small nail (of North German origin).

    Tingle

  • Conan
  • Boy/Male

    Celtic Irish

    Conan

    High, wise. Introduced into Britain after the Norman Conquest. Famous bearers: Sir Arthur Conan...

    Conan

  • CONAN
  • Male

    English

    CONAN

    Anglicized form of Irish Gaelic Cónán, CONAN means "little hound."

    CONAN

  • Trindle
  • Surname or Lastname

    English

    Trindle

    English : possibly a variant of Trumble.Possibly a variant spelling of German Trindl, from a Bavarian and Swabian nickname for a slow person, or alternatively an altered spelling of Drindle, from a South German short form of the personal name Katharina (see Catherine).

    Trindle

  • Conway
  • Boy/Male

    Celtic Gaelic Irish Welsh

    Conway

    Hound of the plain.

    Conway

  • Donaway
  • Surname or Lastname

    English

    Donaway

    English : unexplained. Compare Dunaway.

    Donaway

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Online names & meanings

  • DARYNA
  • Female

    Ukrainian

    DARYNA

    , queen, or from the name of a river (?)

  • Bhoomish
  • Boy/Male

    Hindu, Indian, Marathi

    Bhoomish

    King of the Earth

  • Dhruvansh
  • Boy/Male

    Hindu

    Dhruvansh

    A part of polar star

  • Shubh | ஷுப
  • Boy/Male

    Tamil

    Shubh | ஷுப

    Fortunate

  • Devapriyan
  • Boy/Male

    Indian, Malayalam

    Devapriyan

    One who Loved by God

  • Sumaiyaa | سومییاا
  • Girl/Female

    Muslim

    Sumaiyaa | سومییاا

    Pure

  • LOVIISA
  • Female

    Finnish

    LOVIISA

    Finnish form of Latin Louisa, LOVIISA means "famous warrior." 

  • Shritama
  • Girl/Female

    Hindu

    Shritama

    This name means like the Goddess Lakshmi

  • Bimalprem
  • Boy/Male

    Indian, Punjabi, Sikh

    Bimalprem

    Pure Love

  • Luscombe
  • Surname or Lastname

    English (Devon)

    Luscombe

    English (Devon) : habitational name from any of the five villages of this name in Devon or from Loscombe in Powerstock, Dorset, all probably named from Old English hlōse ‘pigsty’ + cumb ‘valley’ (see Coombe).

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Other words and meanings similar to

CONWAY TRIANGLE-NOTATION

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  • Convey
  • v. t.

    To accompany; to convoy.

  • Triangle
  • n.

    A small constellation situated between Aries and Andromeda.

  • Branglement
  • n.

    Wrangle; brangle.

  • Convey
  • v. t.

    To impart or communicate; as, to convey an impression; to convey information.

  • Triangle
  • n.

    A draughtsman's square in the form of a right-angled triangle.

  • Convey
  • v. t.

    To cause to pass from one place or person to another; to serve as a medium in carrying (anything) from one place or person to another; to transmit; as, air conveys sound; words convey ideas.

  • Triangle
  • n.

    A figure bounded by three lines, and containing three angles.

  • Trigon
  • n.

    A figure having three angles; a triangle.

  • Triangle
  • n.

    An instrument of percussion, usually made of a rod of steel, bent into the form of a triangle, open at one angle, and sounded by being struck with a small metallic rod.

  • Triangle
  • n.

    A small constellation near the South Pole, containing three bright stars.

  • Brangle
  • v. i.

    To wrangle; to dispute contentiously; to squabble.

  • Coney
  • n.

    A fish. See Cony.

  • Brangle
  • n.

    A wrangle; a squabble; a noisy contest or dispute.

  • Triangle
  • n.

    A kind of frame formed of three poles stuck in the ground and united at the top, to which soldiers were bound when undergoing corporal punishment, -- now disused.

  • Tangle
  • v.

    A knot of threads, or other thing, united confusedly, or so interwoven as not to be easily disengaged; a snarl; as, hair or yarn in tangles; a tangle of vines and briers. Used also figuratively.

  • Coney
  • n.

    A rabbit. See Cony.

  • Oxygon
  • n.

    A triangle having three acute angles.

  • Triable
  • a.

    Liable to undergo a judicial examination; properly coming under the cognizance of a court; as, a cause may be triable before one court which is not triable in another.

  • Tangle
  • v. i.

    To be entangled or united confusedly; to get in a tangle.