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Concept in geometry
In mathematics, a Coxeter element is an element of an irreducible Coxeter group which is a product of all simple reflections. The product depends on the
Coxeter_element
Group that admits a formal description in terms of reflections
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
Coxeter_group
Unique element of maximal length in a finite Coxeter group
In mathematics, the longest element of a Coxeter group is the unique element of maximal length in a finite Coxeter group with respect to the chosen generating
Longest element of a Coxeter group
Longest_element_of_a_Coxeter_group
Canadian geometer (1907–2003)
the Coxeter graph, Coxeter groups, Coxeter's loxodromic sequence of tangent circles, Coxeter–Dynkin diagrams, and the Todd–Coxeter algorithm. Coxeter was
Harold Scott MacDonald Coxeter
Harold_Scott_MacDonald_Coxeter
Group of symmetries of an n-dimensional hypercube
any finite Coxeter group that contains −1, one has for any Coxeter element that c h / 2 = − 1 {\displaystyle c^{h/2}=-1} , where the Coxeter number h is
Hyperoctahedral_group
Four-dimensional analogue of the cube
measure polytope, taken as a unit for hypervolume. Harold Scott MacDonald Coxeter labels it the γ4 polytope. The term hypercube without a dimension reference
Tesseract
Number line and triangular tiling's symmetry mathematical structure
Coxeter element s 0 ⋅ s 1 ⋯ s n − 1 {\displaystyle s_{0}\cdot s_{1}\cdots s_{n-1}} in S ~ n {\displaystyle {\widetilde {S}}_{n}} is a Coxeter element
Affine_symmetric_group
Pictorial representation of symmetry
a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing a Coxeter group
Coxeter–Dynkin_diagram
Natural number
hyperbolic Coxeter groups, or 4-prisms, of rank 5, each generating uniform honeycombs in hyperbolic 4-space as permutations of rings of the Coxeter diagrams
5
Group-theoretic generalization of matroids
generated by some subset of S). A Coxeter matroid is a subset M of W/P that for every w in W, M contains a unique minimal element with respect to the w-Bruhat
Coxeter_matroid
Simplicial complex
mathematics, the Coxeter complex, named after H. S. M. Coxeter, is a geometrical structure (a simplicial complex) associated to a Coxeter group. Coxeter complexes
Coxeter_complex
Subgroup of a root system's isometry group
corresponds to the identity element of the Weyl group, and the dual top-dimensional cell corresponds to the longest element of a Coxeter group. There are a number
Weyl_group
5-dimensional hypercube
5-cube or 5-orthoplex. Coxeter, Regular Polytopes, sec 1.8 Configurations Coxeter (1991), p. 117. H.S.M. Coxeter: H.S.M. Coxeter, Regular Polytopes, 1973
5-cube
Four-dimensional analogue of the tetrahedron
pentachoron, pentatope, pentahedroid, tetrahedral pyramid, or 4-simplex (Coxeter's α4 polytope), the simplest possible convex 4-polytope, and is analogous
5-cell
Mathematical group
element of W) and W S = W {\displaystyle W_{S}=W} . The pair ( W I , I ) {\displaystyle (W_{I},I)} is again a Coxeter system. Moreover, the Coxeter group
Parabolic subgroup of a reflection group
Parabolic_subgroup_of_a_reflection_group
Classification system for symmetry groups in geometry
Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between fundamental reflections of a Coxeter
Coxeter_notation
7-dimensional hypercube
6-simplex 6-faces. Coxeter, Regular Polytopes, p. 12, Sec. 1.8 Configurations Coxeter (1991), p. 117. H.S.M. Coxeter: H.S.M. Coxeter, Regular Polytopes
7-cube
Deformation of the group algebra of a Coxeter group
of the group algebra of a Coxeter group. The Hecke algebra can also be viewed as a q-analog of the group algebra of a Coxeter group. Hecke algebras are
Iwahori–Hecke_algebra
Universal construction of a complex Lie group from a real Lie group
BσB is determined by the length of σ as an element of W. The dimension is maximized at the Coxeter element and gives the unique open dense double coset
Complexification_(Lie_group)
two reduced words of a Coxeter group to represent the same element. Sometimes, this is also called Matsumoto's lemma. A Coxeter group is a group that admits
Matsumoto's theorem (group theory)
Matsumoto's_theorem_(group_theory)
Algorithm for solving the coset enumeration problem
In group theory, the Todd–Coxeter algorithm, created by J. A. Todd and H. S. M. Coxeter in 1936, is an algorithm for solving the coset enumeration problem
Todd–Coxeter_algorithm
Group of geometric symmetries with at least one fixed point
n Coxeter group has n mirrors and is represented by a Coxeter–Dynkin diagram. Coxeter notation offers a bracketed notation equivalent to the Coxeter diagram
Point_group
Uniform 6-polytope
gotaf). H.S.M. Coxeter: H.S.M. Coxeter, Regular Polytopes, 3rd edition, Dover, New York, 1973 Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by
Pentellated_6-simplexes
Four-dimensional analogues of the regular polyhedra in three dimensions
Coxeter 1973, § 1.8 Configurations Coxeter, Complex Regular Polytopes, p. 117 Conway, Burgiel & Goodman-Strauss 2008, p. 406, Fig 26.2 Coxeter, Star
Regular_4-polytope
Convex regular 8-polytope
"x3o3o3o3o3o3o4o - ek". Coxeter, Regular Polytopes, sec 1.8 Configurations Coxeter (1991), p. 117. H.S.M. Coxeter: H.S.M. Coxeter, Regular Polytopes, 3rd
8-orthoplex
Uniform 8 dimensional polytope
constructed within the symmetry of the E8 group. Its Coxeter symbol is 142, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end
1_42_polytope
Convex regular 5-polytope in geometry
alternately labeled (checkerboarded) facets, with Schläfli symbol {3,3,31,1} or Coxeter symbol 211. It is a part of an infinite family of polytopes, called cross-polytopes
5-orthoplex
Uniform 6-polytope
as HM6 for a 6-dimensional half measure polytope. Coxeter named this polytope as 131 from its Coxeter diagram, with a ring on one of the 1-length branches
6-demicube
Regular 5-polytope
as HM5 for a 5-dimensional half measure polytope. Coxeter named this polytope as 121 from its Coxeter diagram, which has branches of length 2, 1 and 1
5-demicube
Uniform polytope
polytope, constructed from the E7 group. Its Coxeter symbol is 132, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end
1_32_polytope
Regular 7- polytope
(x3o3o3o3o3o4o - zee). Coxeter, Regular Polytopes, sec 1.8 Configurations Coxeter (1991), p. 117. H.S.M. Coxeter: H.S.M. Coxeter, Regular Polytopes, 3rd
7-orthoplex
Pictorial representation of symmetry
unoriented diagram (a special kind of Coxeter diagram), the Weyl group (a concrete reflection group), or the abstract Coxeter group. Although the Weyl group
Dynkin_diagram
Representation theory
where B = MAN and the union is disjoint. Taking the Coxeter element s0 of W, the unique element mapping a + {\displaystyle {\mathfrak {a}}_{+}} onto
Plancherel theorem for spherical functions
Plancherel_theorem_for_spherical_functions
Type of geometrical object
symmetry can be generated by these three Coxeter groups, represented by permutations of rings of the Coxeter-Dynkin diagrams: Selected regular and uniform
Uniform_10-polytope
Polytope in 8-dimensional geometry
He called it an 8-ic semi-regular figure. Its Coxeter symbol is 421, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end
4_21_polytope
Class of 4-dimensional polytopes
Honeycombs under advisor Coxeter, completes the basic theory of uniform polytopes for dimensions 4 and higher. 1986 Coxeter published a paper Regular
Uniform_4-polytope
Graph operation
The Goldberg–Coxeter construction or Goldberg–Coxeter operation (GC construction or GC operation) is a graph operation defined on regular polyhedral graphs
Goldberg–Coxeter_construction
Element of algebraic structure
element is an element of an algebraic structure such as a monoid that has several desirable properties. Formally, if M is a monoid, then an element Δ
Garside_element
8-dimensional hypercube
hypercubes: Coxeter, Regular Polytopes, p. 12, Sec. 1.8 Configurations Coxeter (1991), p. 117. Klitzing, Richard. "o3o3o3o3o3o3o4x - octo". H.S.M. Coxeter: Coxeter
8-cube
Annual session of lectures
1983 Bertram Kostant (Massachusetts Institute of Technology): On the Coxeter element and the structure of the exceptional Lie groups. 1984 Barry Mazur (Harvard
Colloquium_Lectures_(AMS)
Isogonal polyhedron with regular faces
among which they are finding the "regular" ones. — (Branko Grünbaum 1994) Coxeter, Longuet-Higgins & Miller (1954) define uniform polyhedra to be vertex-transitive
Uniform_polyhedron
Partial order on a Coxeter group
order, or Chevalley–Bruhat order) is a partial order on the elements of a Coxeter group, that corresponds to the inclusion order on Schubert varieties. The
Bruhat_order
3D symmetry group
The full symmetry group is the Coxeter group of type H3. It may be represented by Coxeter notation [5,3] and Coxeter diagram . The set of rotational
Icosahedral_symmetry
6-dimensional hypercube
three Coxeter groups associated with the 6-cube, one regular, with the C6 or [4,3,3,3,3] Coxeter group, and a half symmetry (D6) or [33,1,1] Coxeter group
6-cube
Four-dimensional analog of the icosahedron
expanded with k-face elements and k-figures. The diagonal element counts are the ratio of the full Coxeter group order, 14400, divided by the order of the subgroup
600-cell
Classification of a two-dimensional repetitive pattern
the other symmetries of the orbifold. Coxeter's bracket notation is also included, based on reflectional Coxeter groups, and modified with plus superscripts
Wallpaper_group
Regular 6 dimensional polytope
labeled (checkerboarded) facets, with Schläfli symbol {3,3,3,31,1} or Coxeter symbol 311. It is a part of an infinite family of polytopes, called cross-polytopes
6-orthoplex
Uniform 6-dimensional polytope
construction operations are represented by the permutations of rings of the Coxeter-Dynkin diagrams. Each combination of at least one ring on every connected
Uniform_6-polytope
Integral polynomial
conjectures. Fix a Coxeter group W with generating set S, and write ℓ ( w ) {\displaystyle \ell (w)} for the length of an element w (the smallest length
Kazhdan–Lusztig_polynomial
Distance-preserving mathematical transformation
which preserves length ..." — Coxeter (1969) p. 29 3.11 Any two congruent triangles are related by a unique isometry.— Coxeter (1969) p. 39 Let T be a transformation
Isometry
Generalization of a polytope in real space
will create "starry" polygons, with overlapping element. So and are ordinary, while is starry. Coxeter enumerated this list of regular complex polygons
Complex_polytope
Groups of point isometries in 3 dimensions
mirror planes passing through the same point are the finite Coxeter groups, represented by Coxeter notation. The point groups in three dimensions are widely
Point groups in three dimensions
Point_groups_in_three_dimensions
Geometric object with flat sides
use edge to refer to a ridge, while H. S. M. Coxeter uses cell to denote an (n − 1)-dimensional element.[citation needed] The terms adopted in this article
Polytope
icosahedral symmetry. This article lists the groups by Schoenflies notation, Coxeter notation, orbifold notation, and order. John Conway used a variation of
List of spherical symmetry groups
List_of_spherical_symmetry_groups
Type of geometry
1997, p. 88. Coxeter 2003, p. v. Coxeter 1969, p. 229. Coxeter 2003, p. 14. Coxeter 1969, pp. 93, 261. Coxeter 1969, pp. 234–238. Coxeter 2003, pp. 111–132
Projective_geometry
Regular object in four dimensional geometry
Plattner Story." Coxeter 1973, pp. 292–293, Table I(ii); "24-cell". Coxeter 1973, p. 139, §7.9 The characteristic simplex. Coxeter 1973, p. 290, Table
24-cell
Polyhedron with four faces
tetrahedra. Coxeter 1973, pp. 292–293, Table I(i); "Tetrahedron, 𝛼3". Coxeter 1973, pp. 33–34, §3.1 Congruent transformations. Coxeter 1973, p. 63,
Tetrahedron
Regular 5-polytope
is one of 19 uniform polytera based on the [3,3,3,3] Coxeter group, all shown here in A5 Coxeter plane orthographic projections. (Vertices are colored
5-simplex
Euclidean geometry without distance and angles
118 (exercise 3). Coxeter 1955, The Affine Plane, § 2: Affine geometry as an independent system Coxeter 1955, Affine plane, p. 8 Coxeter, Introduction to
Affine_geometry
Shape with ten sides
orthogonal projections in various Coxeter planes: The number of sides in the Petrie polygon is equal to the Coxeter number, h, for each symmetry family
Decagon
Type of geometric object
symmetry can be generated by these three Coxeter groups, represented by permutations of rings of the Coxeter-Dynkin diagrams: Selected regular and uniform
Uniform_9-polytope
Polygons which have an accompanying imaginary dimension for each real dimension
will create "starry" polygons, with overlapping element. So and are ordinary, while is starry. Coxeter enumerated this list of regular complex polygons
Regular_complex_polygon
Any of the five regular polyhedra
/2)={\frac {\cos(\pi /q)}{\sin(\pi /h)}}.} The quantity h (called the Coxeter number) is 4, 6, 6, 10, and 10 for the tetrahedron, cube, octahedron, dodecahedron
Platonic_solid
Five-dimensional geometric shape
Coxeter in his publication Regular and Semi-Regular Polytopes I, II, and III. 1966: Norman W. Johnson completed his Ph.D. dissertation under Coxeter,
Uniform_5-polytope
Solid with four equal triangular faces
3-demicube, a polyhedron that is by alternating a cube. This form has Coxeter diagram and Schläfli symbol h { 4 , 3 } {\displaystyle \mathrm {h} \{4
Regular_tetrahedron
realization of this 1-polytope is regular. It has the Schläfli symbol { }, or a Coxeter diagram with a single ringed node, . Norman Johnson calls it a dion and
List_of_regular_polytopes
Seven-dimensional geometric object
for Coxeter plane graphs of these polytopes. The E7 Coxeter group has order 2,903,040. There are 127 forms based on all permutations of the Coxeter-Dynkin
Uniform_7-polytope
Polyhedron with 8 triangles and 6 squares
Williams 1979, p. 74. Coxeter 1973, p. 69, §4.7 Other honeycombs. Coxeter 1973, pp. 292–293, Table I (ii): column 0R/l. Coxeter 1973, p. 296, Table II:
Cuboctahedron
Uniform 7-polytope
as HM7 for a 7-dimensional half measure polytope. Coxeter named this polytope as 141 from its Coxeter diagram, with a ring on one of the 1-length branches
7-demicube
5-cell and 6 rectified 5-cells). It is also called 03,1 for its branching Coxeter-Dynkin diagram, shown as . E. L. Elte identified it in 1912 as a semiregular
Rectified_5-simplexes
Uniform 7-dimensional polytope
He called it a 7-ic semi-regular figure. Its Coxeter symbol is 321, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end
3_21_polytope
Type of cyclic group in group theory
diagram at right, and parallels the corresponding diagram for the Pin group. Coxeter writes the binary dihedral group as ⟨2,2,n⟩ and binary cyclic group with
Dicyclic_group
Spatial tiling of convex uniform polyhedra
for other forms based on the ring patterns of the Coxeter diagram. The fundamental infinite Coxeter groups for 3-space are: The C ~ 3 {\displaystyle {\tilde
Convex_uniform_honeycomb
of 9 uniform 4-polytope constructed from the [3,3,3] Coxeter group. H.S.M. Coxeter: H.S.M. Coxeter, Regular Polytopes, 3rd Edition, Dover New York, 1973
Truncated_5-cell
British geometer
The Todd–Coxeter process for coset enumeration is a major method of computational algebra, and dates from a collaboration with H.S.M. Coxeter in 1936.
J._A._Todd
Uniform 6-polytope
polytopes, named as V72 (for its 72 vertices). Its Coxeter symbol is 122, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end
1_22_polytope
3D symmetry group
Goodman-Strauss, ISBN 978-1-56881-220-5 Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic
Tetrahedral_symmetry
Solid with twenty equal triangular faces
1 R {\displaystyle {}_{1}\!\mathrm {R} } is Coxeter's notation for the midradius, also noting that Coxeter uses 2 ℓ {\displaystyle 2\ell } as the edge
Regular_icosahedron
Uniform 6-polytope
(021 polytope), . Seen in a configuration matrix, the element counts can be derived from the Coxeter group orders. Vertices are colored by their multiplicity
2_21_polytope
Four-dimensional analog of the octahedron
hyperoctahedrons which are analogous to the octahedron in three dimensions. It is Coxeter's β 4 {\displaystyle \beta _{4}} polytope. The dual polytope is the tesseract
16-cell
Solid with 12 equal pentagonal faces
Series). p. 4. Coxeter, H. S. M. (1973) [1948]. "§1.8 Configurations". Regular Polytopes (3rd ed.). New York: Dover Publications. Coxeter, H. S. M. (1991)
Regular_dodecahedron
Concept in mathematics
dihedral groups, and more generally all finite real reflection groups (the Coxeter groups or Weyl groups, including the symmetry groups of regular polyhedra)
Complex_reflection_group
Mathematical group that can be generated as the set of powers of a single element
by a single element. That is, it is a set of invertible elements with a single associative binary operation, and it contains an element g such that every
Cyclic_group
Polytopes H.S.M. Coxeter: H.S.M. Coxeter, Regular Polytopes, 3rd edition, Dover, New York, 1973 Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by
Heptellated_8-simplexes
Homology class in mathematics
top-dimension Schubert cell, or equivalently the longest element of a Coxeter group. Longest element of a Coxeter group Poincaré duality Hatcher, Allen (2002). Algebraic
Fundamental_class
Solid with six equal square faces
\mathrm {R} /\ell } , Coxeter's notation for the circumradius, midradius, and inradius, respectively, also noting that Coxeter uses 2 ℓ {\displaystyle
Cube
Family of infinite discrete groups
Coxeter group, there is a (set-theoretic) section σ {\displaystyle \sigma } of W {\displaystyle W} into A + {\displaystyle A^{+}} , and every element
Artin–Tits_group
Polygon shape with eight sides
at the origin and with side length 2 are: (±1, ±(1+√2)) (±(1+√2), ±1). Coxeter states that every zonogon (a 2m-gon whose opposite sides are parallel and
Octagon
Type of 7-polytope
x3o3o3o3o3o3o - oca". Coxeter, H.S.M. (1973). "§1.8 Configurations". Regular Polytopes (3rd ed.). Dover. ISBN 0-486-61480-8. Coxeter, H.S.M. (1991). Regular
7-simplex
Specific set of Hamiltonian quaternions with the same symmetry as the 600-cell
120 vectors form the vertices of a 600-cell, whose symmetry group is the Coxeter group H4 of order 14400. In addition, the 600 icosians of norm 2 form the
Icosian
Uniform 6-polytope
one of 35 uniform 6-polytopes based on the [3,3,3,3,3] Coxeter group, all shown here in A6 Coxeter plane orthographic projections. Klitzing, Richard. "heptapeton"
6-simplex
Uniform Polytope
polytope, constructed from the E7 group. Its Coxeter symbol is 231, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end
2_31_polytope
all words in the finite group. Euclidean groups All finitely generated Coxeter groups Geometrically finite groups Baumslag–Solitar groups Non-Euclidean
Automatic_group
In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.[citation needed] Other configurations in geometry are something
Configuration_(polytope)
Symmetry group in 1D systems
the affine Coxeter group [∞], or Coxeter-Dynkin diagram representing two reflections, and the translational symmetry as [∞]+, or Coxeter-Dynkin diagram
One-dimensional symmetry group
One-dimensional_symmetry_group
Mathematical classification
the simply laced finite Coxeter groups, by the same diagrams: in this case the Dynkin diagrams exactly coincide with the Coxeter diagrams, as there are
ADE_classification
generalized quadrangle with parameters (2,2). Its Levi graph is the Tutte–Coxeter graph. The points of the Cremona–Richmond configuration may be identified
Cremona–Richmond configuration
Cremona–Richmond_configuration
Mathematical structure
defining a building Δ is a Coxeter group W, which determines a highly symmetrical simplicial complex Σ = Σ(W, S), called the Coxeter complex. A building Δ
Building_(mathematics)
Function that is its own inverse
groups. An element x of a group G is called strongly real if there is an involution t with xt = x−1 (where xt = x−1 = t−1 ⋅ x ⋅ t). Coxeter groups are
Involution_(mathematics)
Concept in group theory
The set S is uniquely determined by B and N and the pair (W, S) is a Coxeter system. BN pairs are closely related to reductive groups and the terminology
(B,_N)_pair
COXETER ELEMENT
COXETER ELEMENT
Boy/Male
Indian
Desirable, Coveted, Pleasant
Surname or Lastname
Irish (co. Cork)
Irish (co. Cork) : reduced Anglicized form of Gaelic Mac Oitir ‘son of Oitir’, a personal name borrowed from Old Norse Óttarr, composed of the elements ótti ‘fear’, ‘dread’ + herr ‘army’.English : status name from Middle English cotter, a technical term in the feudal system for a serf or bond tenant who held a cottage by service rather than rent, from Old English cot ‘cottage’, ‘hut’ (see Coates) + -er agent suffix.Probably an Americanized spelling of German Kotter.
Surname or Lastname
English (Devon)
English (Devon) : occupational name for a treasurer or accountant, from Middle English counter (from Old French conteor).
Surname or Lastname
English
English : variant of Coster.
Surname or Lastname
English
English : metonymic occupational name for a grower or seller of costards (Anglo-Norman French, from coste ‘rib’), a variety of large apples, so called for their prominent ribs. In some cases, it may have been a nickname (from the same word) for a person with an apple-shaped (i.e. round) head.Dutch : status name for a churchwarden, from Late Latin custor ‘guard’, ‘warden’.Variant spelling of German Koster.This name is recorded in Beverwijck in New Netherland (Albany, NY) in the mid 17th century.
Surname or Lastname
English
English : occupational name for someone who looked after asses and horses, from an agent derivative of Colt. Compare Coulthard.Variant spelling of German Kolter.
Boy/Male
Muslim/Islamic
Desirable coveted, agreeable
Boy/Male
Arabic, Muslim
Agreeable; Desirable; Coveted
Girl/Female
Muslim
Coveted, Desired
Boy/Male
American, British, English
Colt Herder; Keeper of the Colt Herd; Horse Herdsman; Variant of Colt; Young Horse; Frisky
Boy/Male
American, Australian, British, English, Irish
Young Horse; Frisky; Part of a Plough
Boy/Male
Muslim
Desirable, Coveted, Pleasant
Boy/Male
English
young horse;frisky.
Boy/Male
Muslim
Desirable, Coveted, Pleasant
Boy/Male
English American
Horse herdsman. young horse;frisky.
Boy/Male
Indian
Desirable, Coveted, Pleasant
Surname or Lastname
English (Sussex)
English (Sussex) : unexplained.
Girl/Female
Arabic, Muslim
Coveted; Desired
Boy/Male
Shakespearean
King Henry V' and 'Henry VI, Part 1' and 'King Henry the Sixth, Part III' Duke of Exeter, uncle...
Boy/Male
Arabic, Hindu, Indian
Poeter
COXETER ELEMENT
COXETER ELEMENT
Girl/Female
Tamil
Picture
Girl/Female
Arabic, Muslim
Soft
Boy/Male
Arthurian Legend Welsh American Celtic
Sea fortress. In Arthurian mythology the wizard Merlin was King Arthur's mentor.
Girl/Female
Tamil
Sun, Bright
Surname or Lastname
English (East Anglia)
English (East Anglia) : either a diminutive of Goff or from a pet form of the personal name Godfrey.French : nickname from a diminutive of Old French goffe ‘heavy’, ‘coarse’.
Male
Greek
(ΦαÏαώ) Greek form of Hebrew Paroh ("great house"), PHARAO means "his nakedness." In the bible, this is a title for the king of Egypt.
Girl/Female
Bengali, Indian
Gems of Hope; One who have Everything
Boy/Male
Gaelic, German
One who Sings Ballads
Girl/Female
Indian, Telugu
Animal
Surname or Lastname
English
English : patronymic from Child 1.
COXETER ELEMENT
COXETER ELEMENT
COXETER ELEMENT
COXETER ELEMENT
COXETER ELEMENT
a.
That may be coveted; desirable.
n.
See Counter irritant, etc., under Counter, a.
n.
Same as Colter.
n.
A counter, used in various games.
n.
A counter.
n.
A counter tally; correspondence (in sound).
n.
A counter account. See Control.
v. t.
To check by a counter register or duplicate account; to prove by counter statements; to confute.
v. t.
To take a counter proof of, or a copy in reverse, by taking an impression directly from the face of an original. See Counter proof, under Counter.
a.
Contrary; opposite; contrasted; opposed; adverse; antagonistic; as, a counter current; a counter revolution; a counter poison; a counter agent; counter fugue.
v. t.
To fasten with a cotter.
adv.
Same as Contra. Formerly used to designate any under part which served for contrast to a principal part, but now used as equivalent to counter tenor.
adv.
A prefix meaning contrary, opposite, in opposition; as, counteract, counterbalance, countercheck. See Counter, adv. & a.
n.
A flatterer; a deceiver; a cozener.
n.
A piece of wood or metal, commonly wedge-shaped, used for fastening together parts of a machine or structure. It is driven into an opening through one or all of the parts. [See Illust.] In the United States a cotter is commonly called a key.
n.
A colter. See Colter.
n.
One who covets.
adv.
In the wrong way; contrary to the right course; as, a hound that runs counter.
n.
Counter tenor; contralto.