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THOROLD GOSSET

  • Thorold Gosset
  • English lawyer and mathematician (1869–1962)

    John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician. In mathematics, he is noted for

    Thorold Gosset

    Thorold_Gosset

  • Gosset graph
  • Distance-regular graph with 56 vertices

    The Gosset graph, named after Thorold Gosset, is a distance-regular graph with 56 vertices and valency 27. It is the 1-skeleton of the 7-dimensional 321

    Gosset graph

    Gosset graph

    Gosset_graph

  • 4 21 polytope
  • Polytope in 8-dimensional geometry

    constructed within the symmetry of the E8 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it an 8-ic semi-regular figure

    4 21 polytope

    4 21 polytope

    4_21_polytope

  • Uniform k 21 polytope
  • Geometric object

    Coxeter–Dynkin diagram, with a single ring on the end of the k-node sequence. Thorold Gosset discovered this family as a part of his 1900 enumeration of the regular

    Uniform k 21 polytope

    Uniform_k_21_polytope

  • E8 lattice
  • Lattice in 8-dimensional space with special properties

    and Zolotarev in 1873. The E8 lattice is also called the Gosset lattice after Thorold Gosset who was one of the first to study the geometry of the lattice

    E8 lattice

    E8_lattice

  • 2 21 polytope
  • Uniform 6-polytope

    constructed within the symmetry of the E6 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it a 6-ic semi-regular figure

    2 21 polytope

    2 21 polytope

    2_21_polytope

  • 5-demicube
  • Regular 5-polytope

    (penteract) with alternated vertices removed. It was discovered by Thorold Gosset. Since it was the only semiregular 5-polytope (made of more than one

    5-demicube

    5-demicube

    5-demicube

  • Descartes' theorem
  • Equation for radii of tangent circles

    called Soddy's hexlet. Thorold Gosset and several others extended the theorem and the poem to arbitrary dimensions; Gosset's version was published the

    Descartes' theorem

    Descartes' theorem

    Descartes'_theorem

  • Semiregular polyhedron
  • Variously-defined concept in geometry

    more commonly referred to as a uniform polyhedron (this follows from Thorold Gosset's 1900 definition of the more general semiregular polytope). These polyhedra

    Semiregular polyhedron

    Semiregular_polyhedron

  • Gosset–Elte figures
  • Group of irregular uniform polytopes

    In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated

    Gosset–Elte figures

    Gosset–Elte figures

    Gosset–Elte_figures

  • 3 21 polytope
  • Uniform 7-dimensional polytope

    constructed within the symmetry of the E7 group. It was discovered by Thorold Gosset, published in his 1900 paper. He called it a 7-ic semi-regular figure

    3 21 polytope

    3 21 polytope

    3_21_polytope

  • Semiregular polytope
  • Isogonal polytope with regular facets

    In geometry, by Thorold Gosset's definition a semiregular polytope is usually taken to be a polytope that is vertex-transitive and has all its facets being

    Semiregular polytope

    Semiregular polytope

    Semiregular_polytope

  • Rectified 5-cell
  • Uniform polychoron

    made of two or more cells which are Platonic solids, discovered by Thorold Gosset in his 1900 paper. He called it a tetroctahedric for being made of tetrahedron

    Rectified 5-cell

    Rectified 5-cell

    Rectified_5-cell

  • Polytope
  • Geometric object with flat sides

    properties. The original approach broadly followed by Ludwig Schläfli, Thorold Gosset and others begins with the extension by analogy into four or more dimensions

    Polytope

    Polytope

  • Apeirogonal prism
  • Prism with an infinite-sided polygon base

    can be considered an infinite polyhedron or a tiling of the plane. Thorold Gosset called it a 2-dimensional semi-check, like a single row of a checkerboard

    Apeirogonal prism

    Apeirogonal prism

    Apeirogonal_prism

  • Gosset (surname)
  • Surname list

    Arms of the British House of Commons Thorold Gosset (1869–1962), English lawyer and amateur mathematician Ulysse Gosset (born 1955), French journalist and

    Gosset (surname)

    Gosset_(surname)

  • Convex uniform honeycomb
  • Spatial tiling of convex uniform polyhedra

    a convex uniform honeycomb in which the cells are zonohedra. 1900: Thorold Gosset enumerated the list of semiregular convex polytopes with regular cells

    Convex uniform honeycomb

    Convex uniform honeycomb

    Convex_uniform_honeycomb

  • Schläfli symbol
  • Notation for polytopes and tessellations

    polytopes was rediscovered independently by several others. In particular, Thorold Gosset rediscovered the Schläfli symbol which he wrote as | p | q | r | ..

    Schläfli symbol

    Schläfli symbol

    Schläfli_symbol

  • 4-polytope
  • Four-dimensional geometric object with flat sides

    they have the same kind of face. There are only 3 cases identified by Thorold Gosset in 1900: the rectified 5-cell, rectified 600-cell, and snub 24-cell

    4-polytope

    4-polytope

    4-polytope

  • Triangular prism
  • Prism with a 3-sided base

    uniform polytope is constructed vertex figure of the previous polytope. Thorold Gosset identified this series in 1900 as containing all regular polytope facets

    Triangular prism

    Triangular prism

    Triangular_prism

  • 600-cell
  • Four-dimensional analog of the icosahedron

    its regular predecessor the 24-cell can be difficult to visualize. Thorold Gosset discovered the semiregular 4-polytopes, including the snub 24-cell with

    600-cell

    600-cell

    600-cell

  • Uniform 4-polytope
  • Class of 4-dimensional polytopes

    polytopes: (Various definitions before Coxeter's uniform category) 1900: Thorold Gosset enumerated the list of nonprismatic semiregular convex polytopes with

    Uniform 4-polytope

    Uniform 4-polytope

    Uniform_4-polytope

  • 5 21 honeycomb
  • Type of uniform tessellation

    dimensional series of semiregular polytopes, identified in 1900 by Thorold Gosset. Each member of the sequence has the previous member as its vertex figure

    5 21 honeycomb

    5_21_honeycomb

  • Uniform 6-polytope
  • Uniform 6-dimensional polytope

    polytopes: (Various definitions before Coxeter's uniform category) 1900: Thorold Gosset enumerated the list of nonprismatic semiregular convex polytopes with

    Uniform 6-polytope

    Uniform 6-polytope

    Uniform_6-polytope

  • E8 (mathematics)
  • 248-dimensional exceptional simple Lie group

    240 vectors are the vertices of a semi-regular polytope discovered by Thorold Gosset in 1900, sometimes known as the 421 polytope. In the so-called even

    E8 (mathematics)

    E8 (mathematics)

    E8_(mathematics)

  • Demihypercube
  • Polytope constructed from alternation of a hypercube

    halved cube graph. An n-demicube has inversion symmetry if n is even. Thorold Gosset described the demipenteract in his 1900 publication listing all of the

    Demihypercube

    Demihypercube

    Demihypercube

  • Uniform 5-polytope
  • Five-dimensional geometric shape

    polytopes: (Various definitions before Coxeter's uniform category) 1900: Thorold Gosset enumerated the list of nonprismatic semiregular convex polytopes with

    Uniform 5-polytope

    Uniform 5-polytope

    Uniform_5-polytope

  • E9 honeycomb
  • This honeycomb is last in the series of k21 polytopes, enumerated by Thorold Gosset in 1900, listing polytopes and honeycombs constructed entirely of regular

    E9 honeycomb

    E9_honeycomb

  • Rectified 600-cell
  • made of two or more cells which are Platonic solids, discovered by Thorold Gosset in his 1900 paper. He called it a octicosahedric for being made of octahedron

    Rectified 600-cell

    Rectified 600-cell

    Rectified_600-cell

  • Tesseract
  • Four-dimensional analogue of the cube

    Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3–45] Gosset, Thorold (1900). "On the Regular and Semi-Regular Figures in Space of n Dimensions"

    Tesseract

    Tesseract

    Tesseract

  • Zometool
  • Construction set toy

    being those formed using the snub operation) Many uniform 4-polytopes Thorold Gosset's exceptional semiregular polytopes in 6, 7, and 8 dimensions Some Johnson

    Zometool

    Zometool

    Zometool

  • Snub 24-cell
  • made of two or more cells which are Platonic solids, discovered by Thorold Gosset in his 1900 paper. He called it a tetricosahedric for being made of

    Snub 24-cell

    Snub 24-cell

    Snub_24-cell

  • Dual snub 24-cell
  • regular tetrahedra and 96 icosahedra as its cell, firstly described by Thorold Gosset in 1900. Its dual is a semiregular, first described by Koca, Al-Ajmi

    Dual snub 24-cell

    Dual snub 24-cell

    Dual_snub_24-cell

  • Uniform 8-polytope
  • Polytope contained by 7-polytope facets

    permutations of rings in the group diagram, including: {3,3,3,3,32,1} - Thorold Gosset's semiregular 421, {3,34,2} - the uniform 142, , {3,3,34,1} - the uniform

    Uniform 8-polytope

    Uniform 8-polytope

    Uniform_8-polytope

  • Snub 24-cell honeycomb
  • 5-cells. It was discovered by Thorold Gosset with his 1900 paper of semiregular polytopes. It is not semiregular by Gosset's definition of regular facets

    Snub 24-cell honeycomb

    Snub_24-cell_honeycomb

  • List of amateur mathematicians
  • James Garfield (United States President) Antoine Gombaud (essayist) Thorold Gosset (lawyer) Jørgen Pedersen Gram (actuary) Hermann Grassmann (school teacher)

    List of amateur mathematicians

    List_of_amateur_mathematicians

  • Emanuel Lodewijk Elte
  • Dutch mathematician (1881–1943)

    Auschwitz. His work rediscovered the finite semiregular polytopes of Thorold Gosset, and further allowing not only regular facets, but recursively also

    Emanuel Lodewijk Elte

    Emanuel_Lodewijk_Elte

  • 1949 Cannes Film Festival
  • Roger Désormière Jacques-Pierre Frogerais Étienne Gilson (author) Paul Gosset (author) Georges Raguis (union official) Rene-Jeanne (critic) Carlo Rim

    1949 Cannes Film Festival

    1949_Cannes_Film_Festival

  • 2016 Birthday Honours
  • Awards of British honours

    Families in Lincolnshire. Miss Theresa Jane Wright. For charitable services to Gosset Ward, Special Care Baby Unit, Northampton General Hospital NHS Trust. Mr

    2016 Birthday Honours

    2016_Birthday_Honours

  • 1919 Birthday Honours
  • British honours

    in connection with military operations in Italy — Maj. William, Bradley Gosset Barne, Royal Garrison Artillery Temp Maj. Henry James Brooks MC Capt. John

    1919 Birthday Honours

    1919_Birthday_Honours

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  • Thormond
  • Boy/Male

    British, English

    Thormond

    Thor's Protection

    Thormond

  • Thornly
  • Boy/Male

    American, British, English

    Thornly

    From the Thorny Meadow

    Thornly

  • THORVALD
  • Male

    Swedish

    THORVALD

    Danish and Swedish form of Old Norse Þorvaldr, THORVALD means "Thor's ruler." 

    THORVALD

  • Herold
  • Surname or Lastname

    English

    Herold

    English : variant of Harold.German, Dutch, and French : from the Germanic personal name Hari(o)wald (see Harold 1).French (Hérold) : status name for a herald, Old French herau(l)t (see Harold 2).Jewish (Ashkenazic) : ornamental name from German Herold ‘herald’ (see 3).

    Herold

  • Thrasi
  • Boy/Male

    Norse

    Thrasi

    Son of Thorolf.

    Thrasi

  • Thorvald
  • Boy/Male

    Danish, German, Norse, Norwegian, Swedish

    Thorvald

    Thunder; Son of Asvald

    Thorvald

  • Thorhild
  • Girl/Female

    Danish, German, Norse, Norwegian

    Thorhild

    Thor's Maiden

    Thorhild

  • Thorold
  • Boy/Male

    British, English, Norse

    Thorold

    Follower of Thor

    Thorold

  • Thormod
  • Boy/Male

    Australian, Danish, Norse

    Thormod

    Son of Odd

    Thormod

  • Thorvid
  • Boy/Male

    Norse

    Thorvid

    Son of Ulfar.

    Thorvid

  • HAROLD
  • Male

    English

    HAROLD

    Middle English form of Anglo-Saxon Hereweald, HAROLD means "army ruler."

    HAROLD

  • Harold
  • Surname or Lastname

    English

    Harold

    English : from the Old English personal name Hereweald, its Old Norse equivalent Haraldr, or the Continental form Herold introduced to Britain by the Normans. These all go back to a Germanic personal name composed of the elements heri, hari ‘army’ + wald ‘rule’, which is attested in Europe from an early date; the Roman historian Tacitus records a certain Cariovalda, chief of the Germanic tribe of the Batavi, as early as the 1st century ad.English : occupational name for a herald, Middle English herau(l)d (Old French herau(l)t, from a Germanic compound of the same elements as above, used as a common noun).German : from a personal name equivalent to 1.Irish : this name is of direct Norse origin (see 1), but is also occasionally a variant of Harrell and Hurrell.

    Harold

  • Thorvald
  • Boy/Male

    Norse

    Thorvald

    Son of Asvald.

    Thorvald

  • Thoralf
  • Boy/Male

    Danish, German, Norwegian, Swedish

    Thoralf

    God of Thunder

    Thoralf

  • Torald
  • Boy/Male

    Norse

    Torald

    Thor ruler.

    Torald

  • Thorolf
  • Boy/Male

    Norse

    Thorolf

    Thor's wolf.

    Thorolf

  • Theobold
  • Boy/Male

    Christian & English(British/American/Australian)

    Theobold

    Patriotic

    Theobold

  • Thorald
  • Boy/Male

    Norse

    Thorald

    Thor ruler.

    Thorald

  • Vestar
  • Boy/Male

    Norse

    Vestar

    Son of Thorolf.

    Vestar

  • Thorald
  • Boy/Male

    Australian, Danish, Dutch, German, Norse

    Thorald

    Thor Ruler; Follower of Thor

    Thorald

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