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Distance-preserving mathematical transformation
composition, called the isometry group. There is also the weaker notion of path isometry or arcwise isometry: A path isometry or arcwise isometry is a map which
Isometry
Automorphism group of a metric space or pseudo-Euclidean space
In mathematics, the isometry group of a metric space is the set of all bijective isometries (that is, bijective, distance-preserving maps) from the metric
Isometry_group
Isometry group of Euclidean space
In mathematics, a Euclidean group is the group of (Euclidean) isometries of a Euclidean space E n {\displaystyle \mathbb {E} ^{n}} ; that is, the transformations
Euclidean_group
Group of transformations under which the object is invariant
the symmetry group of an object X is G = Sym(X). For an object in a metric space, its symmetries form a subgroup of the isometry group of the ambient
Symmetry_group
Groups of point isometries in 3 dimensions
a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere
Point groups in three dimensions
Point_groups_in_three_dimensions
Type of topological group
the Bohr compactification, and in group cohomology theory of Lie groups. A discrete isometry group is an isometry group such that for every point of the
Discrete_group
Group of symmetries of a regular polygon
36°, and reflections. As isometry group there are 10 more automorphisms; they are conjugates by isometries outside the group, rotating the mirrors 18°
Dihedral_group
Discrete group of Möbius transformations
In mathematics, a Kleinian group is a discrete subgroup of the group of orientation-preserving isometries of hyperbolic 3-space H3. The latter, identifiable
Kleinian_group
One-dimensional complex manifold
isometry group of a uniformized Riemann surface (equivalently, the conformal automorphism group) reflects its geometry: genus 0 – the isometry group of
Riemann_surface
Branch of mathematics that studies the properties of groups
the distance between each pair of points (an isometry). The corresponding group is called isometry group of X. If instead angles are preserved, one speaks
Group_theory
The isometry group of a Riemannian manifold is a Lie group
distance-preserving surjective map (that is, an isometry of metric spaces) between two connected Riemannian manifolds is a smooth isometry of Riemannian manifolds. A simpler
Myers–Steenrod_theorem
Type of group in mathematics
be a nondegenerate quaternionic Hermitian form. Its isometry group is the quaternionic unitary group S p ( p , q ) = { g ∈ G L ( p + q , H ) ∣ g ∗ I p
Classical_group
Smooth manifold with an inner product on each tangent space
space form, modulo a certain group action of isometries. For example, the isometry group of the n-sphere is the orthogonal group O(n + 1). Given any finite
Riemannian_manifold
Classification of a two-dimensional repetitive pattern
to their symmetry group type. Isometries of the Euclidean plane fall into four categories (see the article Euclidean plane isometry for more information)
Wallpaper_group
Basic result in the algebraic theory of quadratic forms, on extending isometries
invariant, called the index or Witt index of b, and moreover, that the isometry group of (V, b) acts transitively on the set of maximal isotropic subspaces
Witt's_theorem
Subgroup of a root system's isometry group
theory of Lie algebras, the Weyl group (named after Hermann Weyl) of a root system Φ is a subgroup of the isometry group of that root system. Specifically
Weyl_group
Function between two metric spaces that only respects their large-scale geometry
In mathematics, a quasi-isometry is a function between two metric spaces that respects large-scale geometry of these spaces and ignores their small-scale
Quasi-isometry
Group of flat spacetime symmetries
The Poincaré group, named after Henri Poincaré (1905), was first defined by Hermann Minkowski (1908) as the isometry group of Minkowski spacetime. It
Poincaré_group
Lie group of Lorentz transformations
Lorentz group is a subgroup of the Poincaré group—the group of all isometries of Minkowski spacetime. Lorentz transformations are, precisely, isometries that
Lorentz_group
Isometry group of a compact Riemannian manifold with negative Ricci curvature is finite
manifold with negative Ricci curvature must be zero. Consequently the isometry group of the manifold must be finite. The theorem is a corollary of Bochner's
Bochner's theorem (Riemannian geometry)
Bochner's_theorem_(Riemannian_geometry)
Topics referred to by the same term
Isometry group Quasi-isometry Dade isometry Euclidean isometry Euclidean plane isometry Itō isometry Isometric (disambiguation) Isometries in physics
Isometry_(disambiguation)
Vector field on a pseudo-Riemannian manifold that preserves the metric tensor
preserves the metric. Flows generated by Killing vector fields are continuous isometries of the manifold. This means that the flow generates a symmetry, in the
Killing_vector_field
Polynomial with all terms of degree two
forms, when the corresponding group, the indefinite orthogonal group O(p, q), is non-compact. Further, the isometry groups of Q and −Q are the same (O(p
Quadratic_form
Theorem about admissible crystal symmetries
in terms of isometries of Euclidean space. A set of isometries can form a group. By a discrete isometry group we will mean an isometry group that maps each
Crystallographic restriction theorem
Crystallographic_restriction_theorem
Type of mathematical group
automorphism group of the graph consisting of a path infinite to both sides. Correspondingly, it is the isometry group of Z (see also symmetry groups in one
Infinite_dihedral_group
a point group in four dimensions is an isometry group in four dimensions that leaves the origin fixed, or correspondingly, an isometry group of a 3-sphere
Point groups in four dimensions
Point_groups_in_four_dimensions
Geometry concept
two-dimensional point group or rosette group is a group of geometric symmetries (isometries) that keep at least one point fixed in a plane. Every such group is a subgroup
Point groups in two dimensions
Point_groups_in_two_dimensions
Polytope with highest degree of symmetry
classified by their isometry group. These are finite Coxeter groups, but not every finite Coxeter group may be realised as the isometry group of a regular polytope
Regular_polytope
In a group, the conjugate by g of h is ghg−1. If h is a translation, then its conjugation by an isometry can be described as applying the isometry to the
Conjugation of isometries in Euclidean space
Conjugation_of_isometries_in_Euclidean_space
Isometry of the Eluclidean plane
§ Classification). The set of Euclidean plane isometries forms a group under composition: the Euclidean group in two dimensions. It is generated by reflections
Euclidean_plane_isometry
3D symmetry group
d: the group G = A4 has no subgroup of order 6. Although it is a property for the abstract group in general, it is clear from the isometry group of chiral
Tetrahedral_symmetry
Family of groups in mathematics
as abstract groups. Dih(S1), or orthogonal group O(2,R), or O(2): the isometry group of a circle, or equivalently, the group of isometries in 2D that keep
Generalized_dihedral_group
A fixed point of an isometry group is a point that is a fixed point for every isometry in the group. For any isometry group in Euclidean space the set
Fixed points of isometry groups in Euclidean space
Fixed_points_of_isometry_groups_in_Euclidean_space
(pseudo-)Riemannian manifold whose geodesics are reversible
manifold (or more generally, a pseudo-Riemannian manifold) whose group of isometries contains an inversion symmetry about every point. This can be studied
Symmetric_space
Supergravity in eleven dimensions
needed to acquire the Standard Model gauge group, assuming that this arises as subgroup of the isometry group of the compact manifold. The main area of
Eleven-dimensional supergravity
Eleven-dimensional_supergravity
Topological space in group theory
when the group G in question is the automorphism group of the space X – here "automorphism group" can mean isometry group, diffeomorphism group, or homeomorphism
Homogeneous_space
Metric of a homogenous universe
d\phi ^{2})} The isometry group of this spacetime is R × S O ( 3 ) {\displaystyle \mathbb {R} \times SO(3)} . Remarkably, the isometry group does not act
Kantowski–Sachs_metric
Geometric transformation combining reflection and translation
parallel lines is left invariant. The isometry group generated by just a glide reflection is an infinite cyclic group. Combining two equal glide reflections
Glide_reflection
theory Group action Homogeneous space Hyperbolic group Isometry group Orbit (group theory) Permutation Permutation group Rubik's Cube group Space group Stabilizer
List_of_group_theory_topics
Group of isotopy classes of a topological automorphism group
mapping class groups of 2-manifolds. For example, any finite group can be realized as the mapping class group (and also the isometry group) of a compact
Mapping_class_group
Quotient of special unitary group by its center
it is the holomorphic isometry group of complex projective space, just as the projective orthogonal group is the isometry group of real projective space
Projective_unitary_group
Type of mathematical group
fundamental group in the isometry group of the hyperbolic plane, which is isomorphic to PSL2(R) and this realizes the fundamental group as a Fuchsian group. A
Linear_group
Möbius transformation generalized to rings other than the complex numbers
half-plane model. Each model has a group of isometries that is a subgroup of the Mobius group: the isometry group for the disk model is SU(1, 1) where
Linear fractional transformation
Linear_fractional_transformation
Isomorphism of an object to itself
metric geometry an automorphism is a self-isometry. The automorphism group is also called the isometry group. In the category of Riemann surfaces, an automorphism
Automorphism
G′) of the isometry group Sp(W) of a symplectic vector space W, such that G is the centralizer of G′ in Sp(W) and vice versa, and these groups act reductively
Reductive_dual_pair
Maximally symmetric Lorentzian manifold with a negative cosmological constant
anti-de Sitter space has O(p, 2) as its isometry group. If the universal cover is taken, the isometry group is a cover of O(p, 2). This is most easily
Anti-de_Sitter_space
248-dimensional exceptional simple Lie group
the Jacobi identity is satisfied. The compact real form of E8 is the isometry group of the 128-dimensional exceptional compact Riemannian symmetric space
E8_(mathematics)
Discrete group type in group theory
hyperplane. Reflection groups over finite fields of characteristic not 2 were classified by Zalesskiĭ & Serežkin (1981). Discrete isometry groups of more general
Reflection_group
Type of mathematical space
homogeneous Riemannian manifold K/(K∩P) with isometry group K. Furthermore, if G is a complex Lie group, G/P is a homogeneous Kähler manifold. Turning
Generalized_flag_variety
Differential operator in mathematics
sense that it is the differential operator which is invariant under the isometry group of the underlying space and it reduces to the Laplace operator if restricted
Laplace_operator
Notion for convergence of metric spaces
is totally heterogeneous, i.e., its isometry group is trivial, but locally there are many nontrivial isometries. The pointed Gromov–Hausdorff convergence
Gromov–Hausdorff_convergence
Model of the extended complex plane plus a point at infinity
has its isometry group be a 3-dimensional group. (Namely, the group known as SO ( 3 ) {\displaystyle {\mbox{SO}}(3)} , a continuous ("Lie") group that is
Riemann_sphere
Function acting on function spaces
space form the isometry group, and those that fix the origin form a subgroup known as the orthogonal group. Operators in the orthogonal group that also preserve
Operator_(mathematics)
52-dimensional exceptional simple Lie group
automorphism group is the trivial group. Its fundamental representation is 26-dimensional. The compact real form of F4 is the isometry group of a 16-dimensional
F4_(mathematics)
Branch of differential geometry
diameter at most D is pre-compact in the Gromov-Hausdorff metric. The isometry group of a compact Riemannian manifold with negative Ricci curvature is discrete
Riemannian_geometry
Mathematical description of spacetime used in relativity
3-dimensional Euclidean space, the isometry group (maps preserving the regular Euclidean distance) is the Euclidean group. It is generated by rotations, reflections
Minkowski_spacetime
Construction in group theory
sets, not as groups) of the groups as A4 × Z / 5Z, S4 × Z / 7Z, and A5 × Z / 11Z, where the groups A4, S4 and A5 are the isometry groups of the Platonic
Projective_linear_group
Theorem that the diffeomorphism group of the 3-sphere has the homotopy-type of O(4)
statement that the diffeomorphism group of the 3-sphere has the homotopy-type of its isometry group, the orthogonal group O(4). It was proved in 1983 by
Smale_conjecture
Representation of the symmetry group of spacetime in special relativity
problem is the completion of the Bargmann–Wigner programme for the isometry group SO(D − 2, 1) of the de Sitter spacetime dSD−2. Ideally, the physical
Representation theory of the Lorentz group
Representation_theory_of_the_Lorentz_group
If geometry is regarded as the study of isometry groups, then a centre is a fixed point of all the isometries that move the object onto itself. The centre
Centre_(geometry)
There are more isometry groups than these two, of the same abstract group type. The notation G × H denotes the direct product of the two groups; Gn denotes
List_of_small_groups
Mathematical space
fundamental group of any such manifold is finite. This is the four dimensional Euclidean space E 4 {\displaystyle \mathbb {E} ^{4}} . With isometry group R 4
4-manifold
26-dimensional string theory
group: the measure d 2 τ τ 2 2 {\displaystyle {\frac {d^{2}\tau }{\tau _{2}^{2}}}} is simply the Poincaré metric which has PSL(2,R) as isometry group;
Bosonic_string_theory
Russian-American mathematician (1963–2026)
"Discrete Isometry Group of Higher Rank Symmetric Spaces (Lecture – 02) by Misha Kapovich". YouTube. 16 November 2017. "Discrete Isometry Group of Higher
Michael_Kapovich
Geometric symmetry operation
fixed. In Euclidean or pseudo-Euclidean spaces, a point reflection is an isometry (preserves distance). In the Euclidean plane, a point reflection is the
Point_reflection
(named after Grigory Margulis) is a result about discrete subgroups of isometries of a non-positively curved Riemannian manifold (e.g. the hyperbolic n-space)
Margulis_lemma
Maximally symmetric Lorentzian manifold with a positive cosmological constant
orthogonal groups, which shows that it is a non-Riemannian symmetric space. Topologically, dSn is R × Sn−1, which is simply connected if n ≥ 3. The isometry group
De_Sitter_space
Manifold with inversion symmetry
manifolds. Every Hermitian symmetric space is a homogeneous space for its isometry group and has a unique decomposition as a product of irreducible spaces and
Hermitian_symmetric_space
Area in mathematics devoted to the study of finitely generated groups
discrete groups up to quasi-isometry. The work of Gromov had a transformative effect on the study of discrete groups and the phrase "geometric group theory"
Geometric_group_theory
Upper bound on intersecting set families
University Press, ISBN 9781107128446 Grindstaff, Gillian (2020), "The isometry group of phylogenetic tree space is Sn", Proceedings of the American Mathematical
Erdős–Ko–Rado_theorem
Concept in topology
general linear group GL(n, R), this corresponds to the fact that any inner product on Rn defines a (compact) orthogonal group (its isometry group) – and that
Maximal_compact_subgroup
Motion of a certain space that preserves at least one point
to isometries that reverse (flip) the orientation. In the language of group theory the distinction is expressed as direct vs indirect isometries in the
Rotation_(mathematics)
Rational function of the form (az + b)/(cz + d)
({\widehat {\mathbb {C} }})} . The Möbius group is isomorphic to the group of orientation-preserving isometries of hyperbolic 3-space and therefore plays
Möbius_transformation
group, NEC group or N.E.C. group is a discrete group of isometries of the hyperbolic plane. These symmetry groups correspond to the wallpaper groups in
Non-Euclidean crystallographic group
Non-Euclidean_crystallographic_group
Symmetry group of a configuration in space
of isometries of an oriented Euclidean space in any number of dimensions. In dimensions other than 3, they are sometimes called Bieberbach groups. In
Space_group
Russian-French mathematician
application of Gromov and Schoen's methods is the fact that lattices in the isometry group of the quaternionic hyperbolic space are arithmetic.[GS92] In 1978,
Mikhael Gromov (mathematician)
Mikhael_Gromov_(mathematician)
Geometric operation which truncates the edges of polyhedra
1016/S0012-365X(98)00065-X.. Gelişgen, Özcan; Yavuz, Serhat (2019a). "A Note About Isometry Groups of Chamfered Dodecahedron and Chamfered Icosahedron Spaces" (PDF).
Chamfer_(geometry)
Solution to the Einstein field equations
number of nearly circular orbits, after which it flies back outward. The isometry group of the Schwarzschild metric is R × O ( 3 ) × { ± 1 } {\displaystyle
Schwarzschild_metric
Theory of supergravity in four dimensions
subgroups of the isometry group of the scalar manifold since the transformations must preserves the scalar metric. Infinitesimal isometry transformations
4D_N_=_1_supergravity
Orientation-preserving mapping class group of the torus
relations similar to the group presentation. The modular group is important because it forms a subgroup of the group of isometries of the hyperbolic plane
Modular_group
Solution of Einstein field equations
_{t}+y\,\partial _{x}+\left(\exp(-2x)-y^{2}/2\right)\,\partial _{y}.} The isometry group acts 'transitively' (since we can translate into t , y , z {\displaystyle
Gödel_metric
Group that is also a differentiable manifold with group operations that are smooth
group is a 6-dimensional Lie group of linear isometries of the Minkowski space. The Poincaré group is a 10-dimensional Lie group of affine isometries
Lie_group
Type of vector space in math
y⟩ for all x, y ∈ H. The unitary operators form a group under composition, which is the isometry group of H. An element of B(H) is compact if it sends bounded
Hilbert_space
Type of group in mathematics
\|g(x)\|=\|x\|.} Let E(n) be the group of the Euclidean isometries of a Euclidean space S of dimension n. This group does not depend on the choice of
Orthogonal_group
Mathematical concept
depends on both the original δ {\displaystyle \delta } and on the quasi-isometry, thus it does not make sense to speak of G {\displaystyle G} being δ {\displaystyle
Hyperbolic_group
American mathematician
then the fundamental group of M must be finite; if instead the Bakry-Émery Ricci tensor is negative, then the isometry group of the Riemannian manifold
John_Lott_(mathematician)
Group of geometric symmetries with at least one fixed point
In geometry, a point group is a mathematical group of symmetry operations (isometries in a Euclidean space) that have a fixed point in common. The coordinate
Point_group
Upper-half plane model of hyperbolic non-Euclidean geometry
special linear group PSL 2 ( R ) {\displaystyle \operatorname {PSL} _{2}(\mathbb {R} )} . The Cayley transform provides an isometry between the half-plane
Poincaré_half-plane_model
Hexahedron with parallelogram faces
point leaves the n-parallelotope unchanged. See also Fixed points of isometry groups in Euclidean space. The edges radiating from one vertex of a k-parallelotope
Parallelepiped
Icelandic mathematician (1927–2023)
spaces as well as some new results on the representations of their isometry groups. He also introduced a Fourier transform on these spaces and proved
Sigurður Helgason (mathematician)
Sigurður_Helgason_(mathematician)
Goldberg polyhedron with 42 faces
service (link) Gelişgen, Özcan; Yavuz, Serhat (2019). "A Note About Isometry Groups of Chamfered Dodecahedron and Chamfered Icosahedron Spaces" (PDF).
Chamfered_dodecahedron
Type of group used in topology and geometric group theory
action of G {\displaystyle G} on X {\displaystyle X} is by isometries, i.e. it is a group homomorphism G ⟶ I s o m ( X ) {\displaystyle G\longrightarrow
CAT(0)_group
an isometry group of sufficient size to fix a point has been proven to be enough to ensure this, thus identifying the size of the Euclidean isometry group
Carathéodory_conjecture
Group of all affine transformations of an affine space
the group E {\displaystyle {\mathcal {E}}} of distance-preserving maps (isometries) of A is a subgroup of the affine group. Algebraically, this group is
Affine_group
Fundamental space of geometry
point form a group isomorphic to the orthogonal group. Let P be a point, f an isometry, and t the translation that maps P to f(P). The isometry g = t − 1
Euclidean_space
Contraction of length in the direction of propagation in Minkowski space
the same role in Minkowski geometry (the Lorentz group forms the isotropy group of the self-isometries of the spacetime) which are played by rotations
Length_contraction
finite group theory, the Dade isometry is an isometry from class function on a subgroup H with support on a subset K of H to class functions on a group G (Collins
Dade_isometry
Group type in algebra
their fundamental groups extends to a Riemannian isometry. Mapping class groups of surfaces are also important finitely generated groups in low-dimensional
Finitely_generated_group
Mathematics award
groundbreaking work on Ricci limit spaces, in particular rectifiability, isometry group and co-dimension 4 conjecture." 2025 Vesselin Dimitrov "for major advances
Fermat_Prize
Group of rotations in 3 dimensions
planar isometries: the cyclic groups C n {\displaystyle C_{n}} or the dihedral groups D 2 n {\displaystyle D_{2n}} , or to one of three other groups: the
3D_rotation_group
ISOMETRY GROUP
ISOMETRY GROUP
Surname or Lastname
English
English : habitational name from a group of villages near Huntingdon, called Great, Little, and Steeple Gidding, named from Old English Gyddingas ‘people of Gydda’, a personal name of uncertain origin.
Surname or Lastname
English
English : habitational name from any of a group of places in Bedfordshire and Cambridgeshire, named with Old English hætt ‘hat’, probably the name of a hill (see Hatt) + lēah ‘wood’, ‘clearing’.
Boy/Male
Greek
Greek surname. Euclid was an early developer of geometry theories.
Boy/Male
Tamil
Cloud we can Say it as a group of clouds before rain
Surname or Lastname
English
English : variant of Haugh.German : topographic name from Middle High German houfe ‘heap’, e.g. of stones, or in southern Germany, a nickname from the same word in the sense ‘crowd’, ‘group of soldiers’.
Surname or Lastname
English
English : habitational name from any of a group of places in Worcestershire which take their name affixes from the River Deverill (e.g. Brixton Deverill, Kingston Deverill). The river is thought to be named from Welsh dwfr ‘river’ + iâl ‘fertile uplands’.English and Irish : variant of Devereux.
Surname or Lastname
English
English : habitational name from any of the numerous places so called, which split more or less evenly into two groups with different etymologies. One set (with examples in Berkshire, Dorset, Gloucestershire, Hampshire, Herefordshire, Somerset, and Wiltshire) is named from the Old English weak dative hēan (originally used after a preposition and article) of hēah ‘high’ + Old English tūn ‘enclosure’, ‘settlement’. The other (with examples in Cambridgeshire, Dorset, Gloucestershire, Herefordshire, Northamptonshire, Shropshire, Somerset, Suffolk, and Wiltshire) has Old English hīwan ‘household’, ‘monastery’. Compare Hine as the first element.
Boy/Male
Tamil
Well known, The group of people use to play traditional music at Shivaji ‘s period, Shayar or Shahir
Girl/Female
Tamil
Goddess Lakshmi, Assembly, Group
Surname or Lastname
English
English : habitational name from a place in Lancashire, so named from Old English gor ‘dirt’, ‘mud’ + tūn ‘enclosure’, ‘settlement’.Introduced in America by a family from Gorton, Lancashire, England (three miles from Manchester), the name Gorton was also adopted by a religious group known as the Gortonites. They were followers of Samuel Gorton (c. 1592–1677), whose unorthodox religious beliefs, which included denying the doctrine of the Trinity, caused him to seek religious toleration by emigrating to Boston in 1637 with his family. In conflict with authorities in Massachusetts Bay, Plymouth, and Newport, he eventually settled in Shawomet, RI, and renamed it Warwick. He died there in 1677, leaving three sons and at least six daughters.
Girl/Female
Tamil
Goddess Lakshmi, Assembly, Group
Surname or Lastname
English
English : occupational name for a keeper of swine, Middle English foreman, from Old English fÅr ‘hog’, ‘pig’ + mann ‘man’.English : status name for a leader or spokesman for a group, from Old English fore ‘before’, ‘in front’ + mann ‘man’. The word is attested in this sense from the 15th century, but is not used specifically for the leader of a gang of workers before the late 16th century.Czech and Jewish (from Bohemia, Moravia) : occupational name for a carter, Czech forman, a loanword from German.
Surname or Lastname
English and Scottish
English and Scottish : habitational name from any of the numerous and widespread places so called. The majority of these are named with Old English middel ‘middle’ + tūn ‘enclosure’, ‘settlement’; a smaller group, with examples in Cumbria, Kent, Northamptonshire, Northumbria, Nottinghamshire, and Staffordshire, have as their first element Old English mylen ‘mill’.
Surname or Lastname
English and Scottish
English and Scottish : said to be a habitational name from Granson on Lake Neuchâtel. The first known bearer of the surname is Rigaldus de Grancione (fl. 1040). The name was taken to Britain by Otes de Grandison (died 1328) and his brother. They were among a group of Savoyards who settled in England when Henry III married a granddaughter of the Count of Savoy.
Surname or Lastname
German
German : patronymic from a personal name (Latin Gallus) which was widespread in Europe in the Middle Ages (see Gall 2).German : nickname for someone in the service of the monastery of St Gallen, or a habitational name for someone from the city in Switzerland so named.English : variant of Gallier.Hungarian (Gallér) : from gallér ‘collar’, hence a metonymic occupational name for a taylor, in particular a maker of military garments.Jewish (Ashkenazic) : from German Galle ‘bile’, ‘gall’, with the agent suffix -er. This surname seems to have been one of the group of names selected at random from vocabulary words by government officials.
Surname or Lastname
English
English : habitational name from any of the various places so called. The majority, with examples in at least fourteen counties, get the name from Old English hÅh ‘ridge’, ‘spur’ (literally ‘heel’) + tÅ«n ‘enclosure’, ‘settlement’. Haughton in Nottinghamshire also has this origin, and may have contributed to the surname. A smaller group of Houghtons, with examples in Lancashire and South Yorkshire, have as their first element Old English halh ‘nook’, ‘recess’. In the case of isolated examples in Devon and East Yorkshire, the first elements appear to be unattested Old English personal names or bynames, of which the forms approximate to Huhha and Hofa respectively, but the meanings are unknown.
Boy/Male
British, English
Short for Symetry
Girl/Female
Tamil
Goddess Lakshmi, Assembly, Group
Surname or Lastname
English
English : probably a topographic name for someone who lived by a group of five ash trees (Middle English ashe) or a habitational name from a place so named, for example Five Ashes in East Sussex.
Surname or Lastname
English
English : topographic name for someone living to the east of a main settlement, from Middle English easter ‘eastern’, Old English ēasterra, in form a comparative of ēast ‘east’ (see East).English : habitational name from a group of villages in Essex, named from Old English eowestre ‘sheepfold’.English : nickname for someone who had some connection with the festival of Easter, such as being born or baptized at that time (Old English ēastre, perhaps from the name of a pagan festival connected with the dawn).Translation of the German family name Oster.
ISOMETRY GROUP
ISOMETRY GROUP
Surname or Lastname
English
English : variant of Siddall.
Boy/Male
Tamil
Shreeman | à®·à¯à®°à¯€à®®à®¾à®¨
A respectable person, Beautiful Man
Boy/Male
Arabic, Muslim
Another Name for Prophet Muhammad
Boy/Male
Hindu
Name of An Angel meaning season, Love and saint, Speech
Girl/Female
Indian
World
Boy/Male
Indian
Poison
Boy/Male
Tamil
Dayashankar | தயாஷஂகர
Merciful Lord Shiva
Girl/Female
Tamil
Glorious, Virtuous
Boy/Male
Tamil
Offering to God during Pooja
Boy/Male
Hebrew American Italian
Gift from God.
ISOMETRY GROUP
ISOMETRY GROUP
ISOMETRY GROUP
ISOMETRY GROUP
ISOMETRY GROUP
n.
Related to Euclid, or to the geometry of Euclid.
pl.
of Geometry
n.
The art or practice of measuring gases; also, the science which treats of the nature and properties of these elastic fluids.
a.
Same as Isometric.
a.
Alt. of Isometrical
n.
That branch of mathematics which investigates the relations, properties, and measurement of solids, surfaces, lines, and angles; the science which treats of the properties and relations of magnitudes; the science of the relations of space.
adv.
According to the rules or laws of geometry.
n.
One skilled in geometry; a geometrician; a mathematician.
a.
Pertaining to geometry.
a.
Same as Isometric.
a.
Isometric or monometric; as, cubic cleavage. See Crystallization.
n.
One skilled in geometry; a geometer; a mathematician.
n.
Measurement of life; calculation of the probable duration of human life.
a.
Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.
n.
A treatise on this science.
n.
Measurement of distances by the odometer.
a.
Isometric.
n.
An isomer.
n.
The study of osmose by means of the osmometer.
n.
A body or compound which is isomeric with another body or compound; a member of an isomeric series.