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HYPERBOLIC LINK

  • Hyperbolic link
  • Type of mathematical link

    hyperbolic link is a link in the 3-sphere with complement that has a complete Riemannian metric of constant negative curvature, i.e. has a hyperbolic

    Hyperbolic link

    Hyperbolic link

    Hyperbolic_link

  • Hyperbolic functions
  • Hyperbolic analogues of trigonometric functions

    In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just

    Hyperbolic functions

    Hyperbolic functions

    Hyperbolic_functions

  • Hyperbolic volume
  • Normalized hyperbolic volume of the complement of a hyperbolic knot

    knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric. The volume

    Hyperbolic volume

    Hyperbolic volume

    Hyperbolic_volume

  • 3-manifold
  • Mathematical space

    diversity of other fields, such as knot theory, geometric group theory, hyperbolic geometry, number theory, Teichmüller theory, topological quantum field

    3-manifold

    3-manifold

    3-manifold

  • Hyperbolic geometry
  • Type of non-Euclidean geometry

    In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate

    Hyperbolic geometry

    Hyperbolic geometry

    Hyperbolic_geometry

  • Borromean rings
  • Three linked but pairwise separated rings

    can be proved to be linked by counting their Fox n-colorings. As links, they are Brunnian, alternating, algebraic, and hyperbolic. In arithmetic topology

    Borromean rings

    Borromean rings

    Borromean_rings

  • Knot invariant
  • Function of a knot that takes the same value for equivalent knots

    Mostow–Prasad rigidity, the hyperbolic structure on the complement of a hyperbolic link is unique, which means the hyperbolic volume is an invariant for

    Knot invariant

    Knot invariant

    Knot_invariant

  • Hyperbolic
  • Topics referred to by the same term

    Look up hyperbolic in Wiktionary, the free dictionary. Hyperbolic may refer to: of or pertaining to a hyperbola, a type of smooth curve lying in a plane

    Hyperbolic

    Hyperbolic

  • Hyperbolic tree
  • Mathematical tree in the hyperbolic plane

    A hyperbolic tree (often shortened as hypertree) is an information visualization and graph drawing method inspired by hyperbolic geometry. Displaying hierarchical

    Hyperbolic tree

    Hyperbolic tree

    Hyperbolic_tree

  • Knot theory
  • Study of mathematical knots

    Thurston introduced hyperbolic geometry into the study of knots with the hyperbolization theorem. Many knots were shown to be hyperbolic knots, enabling the

    Knot theory

    Knot theory

    Knot_theory

  • Hyperbolic manifold
  • Space where every point locally resembles a hyperbolic space

    In mathematics, a hyperbolic manifold is a space where every point looks locally like hyperbolic space of some dimension. They are especially studied in

    Hyperbolic manifold

    Hyperbolic manifold

    Hyperbolic_manifold

  • Hyperbolic triangle
  • Triangle in hyperbolic geometry

    In hyperbolic geometry, a hyperbolic triangle is a triangle in the hyperbolic plane. It consists of three line segments called sides or edges and three

    Hyperbolic triangle

    Hyperbolic triangle

    Hyperbolic_triangle

  • Unlink
  • Link that consists of finitely many unlinked unknots

    n > 1 there exists a hyperbolic link of n components such that any proper sublink is an unlink (a Brunnian link). The Whitehead link and Borromean rings

    Unlink

    Unlink

    Unlink

  • Hopf link
  • Simplest nontrivial knot link

    the Hopf link is R × S1 × S1, the cylinder over a torus. This space has a locally Euclidean geometry, so the Hopf link is not a hyperbolic link. The knot

    Hopf link

    Hopf link

    Hopf_link

  • Hyperbolic trigonometry
  • Topics referred to by the same term

    In mathematics, hyperbolic trigonometry can mean: The study of hyperbolic triangles in hyperbolic geometry (traditional trigonometry is the study of triangles

    Hyperbolic trigonometry

    Hyperbolic_trigonometry

  • Whitehead link
  • Two interlinked loops with five structural crossings

    the minimum-volume hyperbolic manifolds with one cusp and the minimum-volume hyperbolic manifold with no cusps. The Whitehead link is named for J. H.

    Whitehead link

    Whitehead link

    Whitehead_link

  • Alternating knot
  • non-split alternating link is hyperbolic, i.e. the link complement has a hyperbolic geometry, unless the link is a torus link. Thus hyperbolic volume is an invariant

    Alternating knot

    Alternating knot

    Alternating_knot

  • Link (knot theory)
  • Collection of knots that do not intersect, but may be linked

    Milnor's invariants, for instance. Compare with closed braids. Hyperbolic link Unlink Link group Habegger, Nathan; Lin, X.S. (1990), "The classification

    Link (knot theory)

    Link (knot theory)

    Link_(knot_theory)

  • Hyperbolic theory
  • Topics referred to by the same term

    Hyperbolic theory may refer to: Hyperbolic geometry The theory of hyperbolic partial differential equations This disambiguation page lists mathematics

    Hyperbolic theory

    Hyperbolic_theory

  • Figure-eight knot (mathematics)
  • Unique knot with a crossing number of four

    Thurston showed that the figure-eight was hyperbolic, by decomposing its complement into two ideal hyperbolic tetrahedra. (Robert Riley and Troels Jørgensen

    Figure-eight knot (mathematics)

    Figure-eight knot (mathematics)

    Figure-eight_knot_(mathematics)

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

    In hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic

    Uniform tilings in hyperbolic plane

    Uniform_tilings_in_hyperbolic_plane

  • Brunnian link
  • Interlinked multi-loop construction where cutting one loop frees all the others

    -links, hyperbolic Brunnian links, and hyperbolic Brunnian links in unlink-complements, the last of which can be further reduced into a Brunnian link in 3-sphere

    Brunnian link

    Brunnian link

    Brunnian_link

  • Paraboloid
  • Quadric surface with one axis of symmetry and no center of symmetry

    plane parallel to the axis of symmetry is a parabola. The paraboloid is hyperbolic if every other plane section is either a hyperbola, or two crossing lines

    Paraboloid

    Paraboloid

    Paraboloid

  • Hyperbolic geometric graph
  • A hyperbolic geometric graph (HGG) or hyperbolic geometric network (HGN) is a special type of spatial network where (1) latent coordinates of nodes are

    Hyperbolic geometric graph

    Hyperbolic geometric graph

    Hyperbolic_geometric_graph

  • Hyperbolic trajectory
  • Concept in astrodynamics

    In astrodynamics or celestial mechanics, a hyperbolic trajectory or hyperbolic orbit (from Newtonian theory: hyperbola shape) is the trajectory of any

    Hyperbolic trajectory

    Hyperbolic trajectory

    Hyperbolic_trajectory

  • Hyperbolic point
  • Topics referred to by the same term

    In mathematics, a hyperbolic point is a certain kind of point, one of: A point in a hyperbolic geometry A point of negative Gaussian curvature on a smooth

    Hyperbolic point

    Hyperbolic_point

  • Squeeze mapping
  • Linear map that preserves areas

    is. For this reason it is natural to think of the squeeze mapping as a hyperbolic rotation, as did Émile Borel in 1914, by analogy with circular rotations

    Squeeze mapping

    Squeeze mapping

    Squeeze_mapping

  • Poincaré disk model
  • Model of hyperbolic geometry

    model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which all points are inside the unit disk, and straight lines

    Poincaré disk model

    Poincaré disk model

    Poincaré_disk_model

  • Hyperbolic structure
  • Topics referred to by the same term

    Hyperbolic structure may refer to: Hyperboloid structure Hyperbolic set This disambiguation page lists mathematics articles associated with the same title

    Hyperbolic structure

    Hyperbolic_structure

  • Hyperbolic motion (relativity)
  • Motion of an object with constant proper acceleration in special relativity

    Hyperbolic motion is the motion of an object with constant proper acceleration in special relativity. It is called hyperbolic motion because the equation

    Hyperbolic motion (relativity)

    Hyperbolic motion (relativity)

    Hyperbolic_motion_(relativity)

  • Split-complex number
  • Reals with an extra square root of +1 adjoined

    algebra, a split-complex number (or hyperbolic number, also perplex number, double number) is based on a hyperbolic unit j satisfying j 2 = 1 {\displaystyle

    Split-complex number

    Split-complex_number

  • Non-Euclidean geometry
  • Two geometries based on axioms closely related to those specifying Euclidean geometry

    forms associated with metric geometry. In the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries

    Non-Euclidean geometry

    Non-Euclidean_geometry

  • Uniform honeycombs in hyperbolic space
  • Tiling of hyperbolic 3-space by uniform polyhedra

    complete set of hyperbolic uniform honeycombs. More unsolved problems in mathematics In hyperbolic geometry, a uniform honeycomb in hyperbolic space is a uniform

    Uniform honeycombs in hyperbolic space

    Uniform honeycombs in hyperbolic space

    Uniform_honeycombs_in_hyperbolic_space

  • List of geometric topology topics
  • links) Torus knot Prime knot Alternating knot Hyperbolic link Knot invariants Crossing number Linking number Skein relation Knot polynomials Alexander

    List of geometric topology topics

    List_of_geometric_topology_topics

  • Hyperbolic navigation
  • Class of radio navigation systems

    Hyperbolic navigation is a class of radio navigation systems in which a navigation receiver instrument is used to determine location based on the difference

    Hyperbolic navigation

    Hyperbolic navigation

    Hyperbolic_navigation

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

    tessellation of the hyperbolic plane by right triangles with angles of 30°, 45°, and 90°; triangles with these angles are possible in hyperbolic geometry but

    Circle Limit III

    Circle_Limit_III

  • Daina Taimiņa
  • Latvian mathematician

    mathematics at Cornell University, known for developing a way of modeling hyperbolic geometry with crocheted objects. Taimiņa received all of her formal education

    Daina Taimiņa

    Daina Taimiņa

    Daina_Taimiņa

  • Hyperbolic plane (disambiguation)
  • Topics referred to by the same term

    mathematics, the term hyperbolic plane may refer to: A two-dimensional plane in hyperbolic geometry A quadratic space known as the hyperbolic plane (quadratic

    Hyperbolic plane (disambiguation)

    Hyperbolic_plane_(disambiguation)

  • Hyperbolic quaternion
  • Mutation of quaternions where unit vectors square to +1

    In abstract algebra, the algebra of hyperbolic quaternions is a nonassociative algebra over the real numbers with elements of the form q = a + b i + c

    Hyperbolic quaternion

    Hyperbolic_quaternion

  • Ideal polyhedron
  • Shape in hyperbolic geometry

    In three-dimensional hyperbolic geometry, an ideal polyhedron is a convex polyhedron all of whose vertices are ideal points, points "at infinity" rather

    Ideal polyhedron

    Ideal polyhedron

    Ideal_polyhedron

  • Truncated order-7 triangular tiling
  • Semiregular tiling of the hyperbolic plane

    truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon

    Truncated order-7 triangular tiling

    Truncated order-7 triangular tiling

    Truncated_order-7_triangular_tiling

  • Hyperbolic Dehn surgery
  • hyperbolic Dehn surgery is an operation by which one can obtain further hyperbolic 3-manifolds from a given cusped hyperbolic 3-manifold. Hyperbolic Dehn

    Hyperbolic Dehn surgery

    Hyperbolic_Dehn_surgery

  • Complex hyperbolic space
  • In mathematics, the complex hyperbolic space is a Hermitian manifold which is the equivalent of the real hyperbolic space in the context of complex manifolds

    Complex hyperbolic space

    Complex_hyperbolic_space

  • Trefoil knot
  • Simplest non-trivial closed knot with three crossings

    knots. Cinquefoil knot Figure-eight knot (mathematics) Gordian Knot Pretzel link Trefoil knot metathesis Triquetra symbol Shaw, George Russell (MCMXXXIII)

    Trefoil knot

    Trefoil knot

    Trefoil_knot

  • Rapidity
  • Measure of relativistic velocity

    light being infinite. Mathematically, rapidity can be defined as the hyperbolic angle that differentiates two frames of reference in relative motion,

    Rapidity

    Rapidity

    Rapidity

  • Hyperbola
  • Plane curve: conic section

    cone Hyperbolic cylinder Hyperbolic paraboloid Hyperboloid of one sheet Hyperboloid of two sheets Elliptic cone Hyperbolic cylinder Hyperbolic paraboloid

    Hyperbola

    Hyperbola

    Hyperbola

  • Hierarchical navigable small world
  • Approximate nearest neighbor search algorithm

    model Watts–Strogatz Exponential random (ERGM) Random geometric (RGG) Hyperbolic (HGN) Hierarchical Stochastic block Blockmodeling Maximum entropy Soft

    Hierarchical navigable small world

    Hierarchical navigable small world

    Hierarchical_navigable_small_world

  • SnapPea
  • Mathematical software

    help mathematicians, in particular low-dimensional topologists, study hyperbolic 3-manifolds. The primary developer is Jeffrey Weeks, who created the first

    SnapPea

    SnapPea

    SnapPea

  • L10a140 link
  • Link of three loops with ten crossings

    mathematical theory of knots, L10a140 is the name in the Thistlethwaite link table of a link of three loops, which has ten crossings between the loops when presented

    L10a140 link

    L10a140 link

    L10a140_link

  • Jones polynomial
  • Mathematical invariant of a knot or link

    weight system studied by Dror Bar-Natan. By numerical examinations on some hyperbolic knots, Rinat Kashaev discovered that substituting the n-th root of unity

    Jones polynomial

    Jones_polynomial

  • Clickbait
  • Web content intended to entice users to click on a link

    issues. Click-through rates (CTRs) on YouTube show that videos with a hyperbolic or misleading title, created for the purpose of being attention-grabbing

    Clickbait

    Clickbait

    Clickbait

  • Linking number
  • How many times curves wind around each other

    the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space. Intuitively, the linking number

    Linking number

    Linking number

    Linking_number

  • Jessica Purcell
  • American mathematician

    specializing in low-dimensional topology whose research topics have included hyperbolic Dehn surgery and the Jones polynomial. She is a professor of mathematics

    Jessica Purcell

    Jessica_Purcell

  • Hyperbolic 3-manifold
  • Manifold of dimension 3 equipped with a hyperbolic metric

    topology and differential geometry, a hyperbolic 3-manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric

    Hyperbolic 3-manifold

    Hyperbolic_3-manifold

  • Hyperboloid model
  • Model of n-dimensional hyperbolic geometry

    Minkowski model after Hermann Minkowski, is a model of n-dimensional hyperbolic geometry in which points are represented by points on the forward sheet

    Hyperboloid model

    Hyperboloid model

    Hyperboloid_model

  • Hyperboloid structure
  • Type of unbounded quadratic surface-shaped building or work

    Shukhov Tower in Polibino, Dankovsky District, Lipetsk Oblast, Russia. Hyperbolic structures have a negative Gaussian curvature, meaning they curve inward

    Hyperboloid structure

    Hyperboloid structure

    Hyperboloid_structure

  • Satellite knot
  • Type of mathematical knot

    hyperbolic, a torus, or a satellite knot. The class of satellite knots include composite knots, cable knots, and Whitehead doubles. A satellite link is

    Satellite knot

    Satellite_knot

  • Mordellic variety
  • algebraically hyperbolic if the special set is empty. Lang conjectured that a variety X is Mordellic if and only if X is algebraically hyperbolic and that

    Mordellic variety

    Mordellic_variety

  • 2-bridge knot
  • Zeitschrift. 65: 133–170. doi:10.1007/bf01473875. Purcell, Jessica (2020). Hyperbolic knot theory. American Mathematical Society. ISBN 978-1-4704-5499-9. Table

    2-bridge knot

    2-bridge_knot

  • Order-5 square tiling
  • Regular tiling of the hyperbolic plane

    In geometry, the order-5 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,5}. This tiling is topologically related

    Order-5 square tiling

    Order-5 square tiling

    Order-5_square_tiling

  • Pretzel link
  • Link formed from a finite number of twisted sections

    particular. The hyperbolic volume of the complement of the (−2,3,8) pretzel link is 4 times Catalan's constant, approximately 3.66. This pretzel link complement

    Pretzel link

    Pretzel link

    Pretzel_link

  • Cis (mathematics)
  • Function equal to cos x + i sin x

    Retrieved 2019-08-03.{{cite web}}: CS1 maint: deprecated archival service (link) L.-Rundblad, Ekaterina; Maidan, Alexei; Novak, Peter; Labunets, Valeriy

    Cis (mathematics)

    Cis_(mathematics)

  • Torus knot
  • Knot which lies on the surface of a torus in 3-dimensional space

    also inconsistent with the pictures that appear in: Alternating knot Hyperbolic knot Irrational winding of a torus Satellite knot Torus Knot on Wolfram

    Torus knot

    Torus knot

    Torus_knot

  • Maryam Mirzakhani
  • Iranian mathematician (1977–2017)

    Stanford University. Her research topics included Teichmüller theory, hyperbolic geometry, ergodic theory, and symplectic geometry. On 13 August 2014,

    Maryam Mirzakhani

    Maryam_Mirzakhani

  • Network theory
  • Study of graphs as a representation of relations between discrete objects

    algorithms use link-based centrality metrics, including Google's PageRank, Kleinberg's HITS algorithm, the CheiRank and TrustRank algorithms. Link analysis

    Network theory

    Network theory

    Network_theory

  • Logistic distribution
  • Continuous probability distribution

    function of the logistic distribution is also a scaled version of the hyperbolic tangent. F ( x ; μ , s ) = 1 1 + e − ( x − μ ) / s = 1 2 + 1 2 tanh ⁡

    Logistic distribution

    Logistic distribution

    Logistic_distribution

  • Colin Adams (mathematician)
  • American mathematician (born 1956)

    1956) is an American mathematician primarily working in the areas of hyperbolic 3-manifolds and knot theory. His book, The Knot Book, has been praised

    Colin Adams (mathematician)

    Colin Adams (mathematician)

    Colin_Adams_(mathematician)

  • Lazarus Fuchs
  • German mathematician (1833–1902)

    Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a Jewish-German mathematician who made important contributions to the field of linear differential

    Lazarus Fuchs

    Lazarus Fuchs

    Lazarus_Fuchs

  • Computer network
  • Network that allows computers to share resources and communicate with each other

    packets, the link can be filled with packets from other users, and so the cost can be shared, with relatively little interference, provided the link is not

    Computer network

    Computer network

    Computer_network

  • Knot complement
  • Complement of a knot in three-sphere

    is needed to determine the usage. There are analogous definitions for the link complement. Many knot invariants, such as the knot group, are really invariants

    Knot complement

    Knot complement

    Knot_complement

  • Glossary of Riemannian and metric geometry
  • Horosphere a level set of Busemann function. Hyperbolic geometry (see also Riemannian hyperbolic space) Hyperbolic link Injectivity radius The injectivity radius

    Glossary of Riemannian and metric geometry

    Glossary_of_Riemannian_and_metric_geometry

  • Solomon's knot
  • Motif with two doubly-interlinked loops

    times, and found in many cultures. Despite the name, it is classified as a link, and is not a true knot according to the definitions of mathematical knot

    Solomon's knot

    Solomon's knot

    Solomon's_knot

  • Ε-quadratic form
  • Mathematical concept

    is necessary. An easy example for an ε-quadratic form is the standard hyperbolic ε-quadratic form H ε ( R ) ∈ Q ε ( R ⊕ R ∗ ) {\displaystyle H_{\varepsilon

    Ε-quadratic form

    Ε-quadratic_form

  • Localhost
  • Standard hostname for a networked device's loopback interface

    processing of any packet sent to a loopback address, is implemented in the link layer of the TCP/IP stack. Such packets are never passed to any network interface

    Localhost

    Localhost

    Localhost

  • William Thurston
  • American mathematician (1946–2012)

    union of two regular ideal hyperbolic tetrahedra whose hyperbolic structures matched up correctly and gave the hyperbolic structure on the figure-eight

    William Thurston

    William Thurston

    William_Thurston

  • Catenary arch
  • Architectural pointed arch that follows an inverted catenary curve

    (link) "An Ancient Egyptian Catenary Construction Curve". Egyptorigins.org. 1926. Retrieved 25 February 2026.{{cite web}}: CS1 maint: url-status (link)

    Catenary arch

    Catenary arch

    Catenary_arch

  • Trigonometric integral
  • Special function defined by an integral

    {\displaystyle \operatorname {Ci} (x)=\gamma +\ln x-\operatorname {Cin} (x)~.} The hyperbolic sine integral is defined as Shi ⁡ ( x ) = ∫ 0 x sinh ⁡ ( t ) t d t . {\displaystyle

    Trigonometric integral

    Trigonometric integral

    Trigonometric_integral

  • Coxeter–Dynkin diagram
  • Pictorial representation of symmetry

    subdivided, e.g. into hyperbolic and other Coxeter groups. However, there are multiple non-equivalent definitions for hyperbolic Coxeter groups. We use

    Coxeter–Dynkin diagram

    Coxeter–Dynkin diagram

    Coxeter–Dynkin_diagram

  • Mandelbrot set
  • Fractal named after mathematician Benoit Mandelbrot

    known as density of hyperbolicity, is one of the most important open problems in complex dynamics. Hypothetical non-hyperbolic components of the Mandelbrot

    Mandelbrot set

    Mandelbrot set

    Mandelbrot_set

  • Saddle point
  • Critical point on a surface graph which is not a local extremum

    approximating integrals Maximum and minimum Derivative test Hyperbolic equilibrium point Hyperbolic geometry Minimax theorem Max–min inequality Mountain pass

    Saddle point

    Saddle point

    Saddle_point

  • Pair of pants (mathematics)
  • Three-holed sphere

    compact surfaces in various theories. Two important applications are to hyperbolic geometry, where decompositions of closed surfaces into pairs of pants

    Pair of pants (mathematics)

    Pair of pants (mathematics)

    Pair_of_pants_(mathematics)

  • Wild knot
  • Knot that can't be tied in a string of constant diameter

    no. Crossing no. Finite type invariant Hyperbolic volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY

    Wild knot

    Wild_knot

  • Law of sines
  • Property of all triangles on a Euclidean plane

    sine law using elementary linear algebra and projection matrices. In hyperbolic geometry when the curvature is −1, the law of sines becomes sin ⁡ A sinh

    Law of sines

    Law of sines

    Law_of_sines

  • Semantic network
  • Knowledge base that represents semantic relations between concepts in a network

    that Semantic Link Network play an important role in understanding and representation through text summarisation applications. Semantic Link Network has

    Semantic network

    Semantic network

    Semantic_network

  • Orbital eccentricity
  • Amount by which an orbit deviates from a perfect circle

    Circular orbit: e = 0 Elliptic orbit: 0 < e < 1 Parabolic trajectory: e = 1 Hyperbolic trajectory: e > 1 The eccentricity e is given by e = 1 +   2   E   L 2

    Orbital eccentricity

    Orbital eccentricity

    Orbital_eccentricity

  • (−2,3,7) pretzel knot
  • Type of mathematical knot

    Dehn surgery slopes which give non-hyperbolic 3-manifolds. Among the enumerated knots, the only other hyperbolic knot with 7 or more is the figure-eight

    (−2,3,7) pretzel knot

    (−2,3,7) pretzel knot

    (−2,3,7)_pretzel_knot

  • HyperRogue
  • Independent video game

    place in the hyperbolic plane. HyperRogue is a turn-based game in which the player controls one character exploring a world based on hyperbolic geometry,

    HyperRogue

    HyperRogue

    HyperRogue

  • Truncated triheptagonal tiling
  • Semiregular tiling of the hyperbolic plane

    geometry, the truncated triheptagonal tiling is a semiregular tiling of the hyperbolic plane. There is one square, one hexagon, and one tetradecagon (14-sides)

    Truncated triheptagonal tiling

    Truncated triheptagonal tiling

    Truncated_triheptagonal_tiling

  • Ribbon knot
  • Type of mathematical knot

    no. Crossing no. Finite type invariant Hyperbolic volume Khovanov homology Genus Knot group Link group Linking no. Polynomial Alexander Bracket HOMFLY

    Ribbon knot

    Ribbon knot

    Ribbon_knot

  • List of knot theory topics
  • link with four crossings. Whitehead link, a twisted loop linked with an untwisted loop. Unlink General types of links: Algebraic link Hyperbolic link

    List of knot theory topics

    List_of_knot_theory_topics

  • Möbius transformation
  • Rational function of the form (az + b)/(cz + d)

    orientation-preserving isometries of hyperbolic 3-space and therefore plays an important role when studying hyperbolic 3-manifolds. In physics, the identity

    Möbius transformation

    Möbius_transformation

  • Order-4 pentagonal tiling
  • Regular tiling of the hyperbolic plane

    In geometry, the order-4 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,4}. It can also be called a pentapentagonal

    Order-4 pentagonal tiling

    Order-4 pentagonal tiling

    Order-4_pentagonal_tiling

  • Pseudo-range multilateration
  • Navigation and surveillance technique

    TOAs are multiple and known. When MLAT is used for navigation (as in hyperbolic navigation), the waves are transmitted by the stations and received by

    Pseudo-range multilateration

    Pseudo-range_multilateration

  • List of mathematical shapes
  • Archimedean spiral Cornu spiral Cotes' spiral Fermat's spiral Galileo's spiral Hyperbolic spiral Lituus Logarithmic spiral Nielsen's spiral Golden spiral Syntractrix

    List of mathematical shapes

    List_of_mathematical_shapes

  • Virtual knot
  • Generalization of knots in 3-dimensional Euclidean space

    1016/S0040-9383(99)00054-3. S2CID 8871411. Kamada, Naoko; Kamda, Seiichi (2000). "Abstract link diagrams and virtual knots". Journal of Knot Theory and Its Ramifications

    Virtual knot

    Virtual_knot

  • Heptagonal tiling
  • Tiling of the hyperbolic plane

    In geometry, the heptagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {7,3}, having three regular heptagons

    Heptagonal tiling

    Heptagonal tiling

    Heptagonal_tiling

  • C/2024 G3 (ATLAS)
  • Great Comet of 2025

    C/2024 G3 (ATLAS) is a partially disintegrated non-periodic comet, which reached perihelion on 13 January 2025, at a distance of 0.09 AU (13 million km)

    C/2024 G3 (ATLAS)

    C/2024 G3 (ATLAS)

    C/2024_G3_(ATLAS)

  • Sigmoid function
  • Mathematical function having a characteristic S-shaped curve or sigmoid curve

    and 1. A wide variety of sigmoid functions including the logistic and hyperbolic tangent functions have been used as the activation function of artificial

    Sigmoid function

    Sigmoid function

    Sigmoid_function

  • Beltrami–Klein model
  • Model of hyperbolic geometry

    projective model, Klein disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior

    Beltrami–Klein model

    Beltrami–Klein model

    Beltrami–Klein_model

  • Pythagorean theorem
  • Relation between sides of a right triangle

    where cosh is the hyperbolic cosine. This formula is a special form of the hyperbolic law of cosines that applies to all hyperbolic triangles: cosh ⁡

    Pythagorean theorem

    Pythagorean theorem

    Pythagorean_theorem

AI & ChatGPT searchs for online references containing HYPERBOLIC LINK

HYPERBOLIC LINK

AI search references containing HYPERBOLIC LINK

HYPERBOLIC LINK

  • Linka
  • Girl/Female

    Hungarian

    Linka

    Mannish.

    Linka

  • Grosvenor
  • Surname or Lastname

    English (of Norman origin)

    Grosvenor

    English (of Norman origin) : status name for a person who was in charge of the arrangements for hunting on a lord’s estate, from Anglo-Norman French gros ‘great’, ‘chief’ (see Gross) + veneo(u)r ‘hunter’ (Latin venator, from venari ‘to hunt’).This is the name of one of the wealthiest families in Britain, which holds the title Duke of Westminster. They have been long established in Cheshire, with strong links with the city of Chester. One of the earliest recorded bearers of the name was Robert le Grosvenor of Budworth, who was granted lands by the Earl of Chester in 1160. The family’s fortunes were founded by Thomas Grosvenor (born 1656), who in 1677 married an heiress, Mary Davies, whose inheritance included Ebury Farm, Middlesex. This now forms an area of central London that includes Grosvenor Square and Belgrave Square.

    Grosvenor

  • Henwood
  • Surname or Lastname

    English

    Henwood

    English : habitational name from any of various places so named, as for example Henwood in Cornwall, in Linkinhorne parish, which is named from Old English henn ‘hen’, ‘wild bird’ + wudu ‘wood’, or Hen Wood in Wootton, Oxfordshire (formerly in Berkshire), which is named from Old English hīwan ‘religious community’ (genitive plural hīgna) + wudu.

    Henwood

  • Newberry
  • Surname or Lastname

    English

    Newberry

    English : habitational name from any of the many places called Newbury, named with the Old English elements nēowe ‘new’ + burh ‘fortress’, ‘fortified town’ (see Berry 1 and Bury).Thomas Newberry emigrated from Devon, England, to Dorchester, MA, in 1634. Among his descendants were a number of very successful manufacturers and entrepreneurs, including the brothers Oliver (1789–1860) and Walter (1804–68) Newberry, whose prosperity was linked with the growth and development of Chicago.

    Newberry

  • Ling
  • Surname or Lastname

    English (mainly East Anglia)

    Ling

    English (mainly East Anglia) : habitational name from Lyng in Norfolk, so named from Old English hlinc ‘hillside’, or from either of two places in Norfolk and Lincolnshire named Ling, from Old Norse lyng ‘ling’, ‘heather’. There is also a Lyng in Somerset, so named from Old English lengen ‘long place’.German : variant of Link.Chinese : from a word meaning ‘ice’. In ancient times, the imperial palace was able to enjoy ice in the summer by storing winter ice in a cellar, entrusting its care to an official called the iceman. This post was once filled during the Zhou dynasty (1122–221 bc) by a descendant of Kang Shu, the eighth son of Wen Wang, who had been granted the state of Wei soon after the establishment of the Zhou dynasty. Descendants of this particular iceman adopted the word for ice, ling, as their surname.

    Ling

  • Rythem
  • Boy/Male

    Hindu, Indian

    Rythem

    Link

    Rythem

  • Rabita
  • Girl/Female

    Indian

    Rabita

    Band, Bond, Link nexus

    Rabita

  • Boggs
  • Surname or Lastname

    English

    Boggs

    English : nickname from Middle English boggish ‘boastful’, ‘haughty’ (a word of unknown origin, perhaps akin to Germanic bag and bug, with the literal meaning ‘swollen’, ‘puffed up’). The name (in the forms Boge(y)s, Boga(y)s) is found in the 12th century in Yorkshire and East Anglia, and also around Bordeaux, which had trading links with East Anglia.

    Boggs

  • Sumeshnee
  • Girl/Female

    Hindu, Indian, Tamil

    Sumeshnee

    Well Linking

    Sumeshnee

  • Mammen
  • Surname or Lastname

    German

    Mammen

    German : East Frisian patronymic from the nursery name Mamme, linked to Middle High German mamme, memme ‘mother’s breast’ (Latin mamma).English (of Norman origin) : from the Old French personal name Maismon, Maimon, of unknown etymology.Indian (Kerala) : variant of Thomas among Kerala Christians, with the Tamil-Malayalam third person masculine singular suffix -n. It is only found as a personal name in Kerala, but in the U.S. has come to be used as a family name among Kerala Christians.

    Mammen

  • Rabita |
  • Girl/Female

    Muslim

    Rabita |

    Band, Bond, Link nexus

    Rabita |

  • Mawsool
  • Boy/Male

    Arabic, Muslim

    Mawsool

    Having Link with Allah

    Mawsool

  • Bridges
  • Surname or Lastname

    English

    Bridges

    English : variant of Bridge. The -s generally represents the genitive case, but may occasionally be a plural. In some cases this name denoted someone from the Flemish city of Bruges (Brugge), meaning ‘bridges’, which had extensive trading links with England in the Middle Ages.

    Bridges

  • Sumeshini
  • Girl/Female

    Indian

    Sumeshini

    Well Linked

    Sumeshini

  • Orrell
  • Surname or Lastname

    English (Lancashire)

    Orrell

    English (Lancashire) : habitational name from either of two minor places in Lancashire called Orell, from Old English ōra ‘ore’ + hyll ‘hill’, probably denoting a hill with deposits of iron ore. Reaney and Wilson also mention a medieval female personal name, Orella, but there is no evidence of a link with the surname.Swedish : unexplained.

    Orrell

  • DRYSTAN
  • Male

    Welsh

    DRYSTAN

    Welsh Arthurian legend name of a Knight of the Round Table best remembered as the lover of Esyllt (French: Tristan and Iseult). But the earliest texts hint at a character who was far more than just a lover; he was a master of deception and had the ability to shape-shift, a definite attribute of a trickster. In the Cymric Trioedd, Esyllt is his uncle's wife; with the help of the swineherd, Drystan arranges for a secret tryst with her, but Arthur shows up unexpectedly wanting to steal some of his uncle's swine, and Drystan somehow outwits the Forever King.       The name has been associated with Latin tristis "sad," referring to the tragic fate of the young "lover." It has been linked with Pictish drust of unknown DRYSTAN means, and Celtic drest, "riot, tumult." The latter comes closest to fitting his true character; compare with Old English þr�st/þríste: "bold, daring, rash, audacious," and even "shameless." 

    DRYSTAN

  • Malachy Malachi
  • Boy/Male

    Irish

    Malachy Malachi

    A name with two sources, St. Malachi (1095-1148 AD) was the Bishop of Armagh who adopted the name from the Hebrew prophet “”Malachi”” whose name means “”my angel”” or “”messenger of God.”” It is also linked to the High King Maoilseachlainn “”devotee of St. Sechnall”” one of Saint Patrick’s first companions.

    Malachy Malachi

  • Link
  • Boy/Male

    English

    Link

    From the bank.

    Link

  • Rabita
  • Girl/Female

    Arabic, Muslim

    Rabita

    Bond; Link Nexus

    Rabita

  • Link
  • Boy/Male

    American, Arabic, Australian, British, Chinese, English, Japanese, Latin

    Link

    Lake Colony; From the Bank; From the Town by the Pool

    Link

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Online names & meanings

  • Aabha
  • Girl/Female

    Indian

    Aabha

    Glow, Luster, Shine

  • Aleemuddin
  • Boy/Male

    Arabic, Muslim

    Aleemuddin

    Learned Person

  • Kavyashri | காவ்யஷ்ரீ
  • Girl/Female

    Tamil

    Kavyashri | காவ்யஷ்ரீ

    Poetry having good characters, Poetry in motion

  • Uran
  • Surname or Lastname

    Slovenian

    Uran

    Slovenian : nickname from an old spelling of vran ‘raven’, ‘crow’, or ‘black horse’.English : variant spelling of Uren.probably from a native American language in northern Mexico : unexplaiend.

  • Almeda
  • Girl/Female

    Indian

    Almeda

    Ambitious

  • Prithviraj | பரத்வீராஜ
  • Boy/Male

    Tamil

    Prithviraj | பரத்வீராஜ

    King of the earth

  • Kamalekshan
  • Boy/Male

    Hindu

    Kamalekshan

    Lotus eyed

  • Chamkaur
  • Boy/Male

    Hindu, Indian, Punjabi, Sikh

    Chamkaur

    Battle Field Where Guru Gobind Singh Fought

  • TERENZIO
  • Male

    Italian

    TERENZIO

    Italian form of Latin Terentius, possibly TERENZIO means "rub, turn, twist." 

  • REGANA
  • Female

    English

    REGANA

    Elaborated form of English Regan, REGANA means "queen." 

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Other words and meanings similar to

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  • Hyperbolized
  • imp. & p. p.

    of Hyperbolize

  • Hyperbolist
  • n.

    One who uses hyperboles.

  • Hyperboliform
  • a.

    Having the form, or nearly the form, of an hyperbola.

  • Hyperboloid
  • a.

    Having some property that belongs to an hyperboloid or hyperbola.

  • Hyperbole
  • n.

    A figure of speech in which the expression is an evident exaggeration of the meaning intended to be conveyed, or by which things are represented as much greater or less, better or worse, than they really are; a statement exaggerated fancifully, through excitement, or for effect.

  • Hyperthetical
  • a.

    Exaggerated; excessive; hyperbolical.

  • Meiosis
  • n.

    Diminution; a species of hyperbole, representing a thing as being less than it really is.

  • Hyperbolic
  • a.

    Alt. of Hyperbolical

  • Hyperbolical
  • a.

    Relating to, containing, or of the nature of, hyperbole; exaggerating or diminishing beyond the fact; exceeding the truth; as, an hyperbolical expression.

  • Hyperbolical
  • a.

    Belonging to the hyperbola; having the nature of the hyperbola.

  • Auxesis
  • n.

    A figure by which a grave and magnificent word is put for the proper word; amplification; hyperbole.

  • Hyperbolism
  • n.

    The use of hyperbole.

  • Hyperboloid
  • n.

    A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface.

  • Hyperbatic
  • a.

    Of or pertaining to an hyperbaton; transposed; inverted.

  • Hyperbolize
  • v. i.

    To speak or write with exaggeration.

  • Hyperbolically
  • adv.

    In the form of an hyperbola.

  • Hyperbolizing
  • p. pr. & vb. n.

    of Hyperbolize

  • Exaggeration
  • n.

    The act of exaggerating; the act of doing or representing in an excessive manner; a going beyond the bounds of truth reason, or justice; a hyperbolical representation; hyperbole; overstatement.

  • Hyperbola
  • n.

    A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.

  • Hyperbolize
  • v. t.

    To state or represent hyperbolically.