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Points and lines with equal incidences
In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of lines,
Configuration_(geometry)
Geometric configuration of 9 points and 12 lines
In geometry, the Hesse configuration is a configuration of 9 points and 12 lines with three points per line and four lines through each point. It can be
Hesse_configuration
Topics referred to by the same term
to detect system configuration CONFIG.SYS, the primary configuration file for DOS and OS/2 operating systems Configuration (geometry), a finite set of
Configuration
Geometry with 7 points and 7 lines
In finite geometry, the Fano plane (named after Gino Fano) is a finite projective plane with the smallest possible number of points and lines: 7 points
Fano_plane
Geometric figure made of 4 points connected by 6 lines
In mathematics, specifically in incidence geometry and especially in projective geometry, a complete quadrangle is a system of geometric objects consisting
Complete_quadrangle
Mode of arrangement of electrons in different shells of an atom
geometries of molecules. In bulk materials, this same idea helps explain the peculiar properties of lasers and semiconductors. Electron configuration
Electron_configuration
Field of mathematics which studies incidence structures
Projective geometries Moufang polygon Schläfli double six Reye configuration Cremona–Richmond configuration Kummer configuration Klein configuration Non-Desarguesian
Incidence_geometry
Points with no line through exactly two points
In geometry, a Sylvester–Gallai configuration consists of a finite subset of the points of a projective space with the property that the line through any
Sylvester–Gallai configuration
Sylvester–Gallai_configuration
In geometry, the Miquel configuration is a configuration of eight points and six circles in the Euclidean plane, (83 64), with four points per circle
Miquel_configuration
Geometric configuration of 12 points and 6 lines
In geometry, the Reye configuration, introduced by Theodor Reye (1882), is a configuration of 12 points and 16 lines. Each point of the configuration belongs
Reye_configuration
Geometric structure of 8 points and 8 lines
In geometry, the Möbius–Kantor configuration is a configuration consisting of eight points and eight lines, with three points on each line and three lines
Möbius–Kantor_configuration
Branch of mathematics
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is
Geometry
Type of geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that
Projective_geometry
Irrational system of points and lines
In geometry, the Perles configuration is a system of nine points and nine lines in the Euclidean plane for which every combinatorially equivalent realization
Perles_configuration
Collection of key measurements that define a particular bike configuration
Bicycle and motorcycle geometry is the collection of key measurements (lengths and angles) that define a particular bike configuration. Primary among these
Bicycle and motorcycle geometry
Bicycle_and_motorcycle_geometry
Arrangement of 30 points and 12 lines
In geometry, the Schläfli double six is a configuration of 30 points and 12 lines in three-dimensional Euclidean space, introduced by Ludwig Schläfli in
Schläfli_double_six
of his 1922–1925 textbook, Principles of Geometry. Zacharias (1951) also rediscovered the same configuration, and found a realization of it with order-five
Cremona–Richmond configuration
Cremona–Richmond_configuration
Geometric configuration of ten points and lines
In geometry, the Desargues configuration is a configuration of ten points and ten lines, with three points per line and three lines per point. It is named
Desargues_configuration
Describes the general shape and layout of an aircraft wing
heading. This is particularly so for variable geometry and combined (closed) wing types. Most of the configurations described here have flown (if only very
Wing_configuration
Marko; Gévay, Gábor; Pisanski, T. (2015), "Danzer's configuration revisited", Advances in Geometry, 15 (4): 393–408, arXiv:1301.1067, doi:10.1515/advgeom-2015-0019
Danzer's_configuration
Geometric system of two mutually inscribed tetrahedra
In geometry, the Möbius configuration or Möbius tetrads is a certain configuration in Euclidean space or projective space, consisting of two tetrahedra
Möbius_configuration
Smallest 3D projective space
In finite geometry, PG(3, 2) is the smallest three-dimensional projective space. It can be thought of as an extension of the Fano plane, PG(2, 2). It has
PG(3,2)
In geometry, the Grünbaum–Rigby configuration is a symmetric configuration consisting of 21 points and 21 lines, with four points on each line and four
Grünbaum–Rigby_configuration
Geometric configuration of 9 points and 9 lines
In geometry, the Pappus configuration is a configuration of nine points and nine lines in the Euclidean plane, with three points per line and three lines
Pappus_configuration
In geometry, the Kummer configuration, named for Ernst Kummer, is a geometric configuration of 16 points and 16 planes such that each point lies on 6 of
Kummer_configuration
Mathematical model of the physical space
Euclidean geometry is a mathematical system attributed to Euclid, an ancient Greek mathematician, which he described in his textbook on geometry, Elements
Euclidean_geometry
In geometry, the Klein configuration, studied by Felix Klein (1870), is a geometric configuration related to Kummer surfaces that consists of 60 points
Klein_configuration
Two tetrahedra crossing each other
1–2 Hilbert, David; Cohn-Vossen, Stephan (1952), "22. Reye's configuration", Geometry and the Imagination (2nd ed.), New York: Chelsea, pp. 134–143 Schoenberg
Stellated_octahedron
Graph representing incident points and lines
From a collection of points and lines in an incidence geometry or a projective configuration, we form a graph with one vertex per point, one vertex per
Levi_graph
Gray graph is the Levi graph of this configuration; it has a vertex for every point and every line of the configuration, and an edge for every pair of a point
Gray_graph
Geometry without using coordinates
Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is geometry without the use of coordinates. It relies on the axiomatic
Synthetic_geometry
3-regular graph with 30 vertices and 45 edges
graph of the generalized quadrangle W2 (known as the Cremona–Richmond configuration). The graph is named after William Thomas Tutte and H. S. M. Coxeter;
Tutte–Coxeter_graph
Solid with 2 parallel n-gonal bases connected by n parallelograms
In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the
Prism_(geometry)
Concept in projective geometry
In projective geometry, duality or plane duality is a formalization of the striking symmetry of the roles played by points and lines in the definitions
Duality_(projective_geometry)
Symbolic and sacred meanings ascribed to certain geometric shapes
Sacred geometry ascribes symbolic and sacred meanings to certain geometric shapes and certain geometric proportions. It is associated with the belief of
Sacred_geometry
Term in geometry
lie on one line. The proper setting for this concept is in projective geometry where there will be no special cases due to parallel lines since all lines
Perspective_(geometry)
Branch of geometry that studies combinatorial properties and constructive methods
discrete geometry has its origins in the late 19th century. Early topics studied were: the density of circle packings by Thue, projective configurations by
Discrete_geometry
Topics referred to by the same term
European integration Variable Geometry Self-Propelled Battle Droid Variable-sweep wing Wing configuration#Variable geometry ways to alter the shape of an
Variable_geometry
Euclidean geometry without distance and angles
In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance
Affine_geometry
system of triangles is a specific configuration involving a set of triangles. A set of triangles is considered a configuration when all of the triangles share
Similarity system of triangles
Similarity_system_of_triangles
Central atom with four substituents located at the corners of a tetrahedron
[citation needed] Again the geometry is widespread, particularly so for complexes where the metal has d0 or d10 configuration. Illustrative examples include
Tetrahedral molecular geometry
Tetrahedral_molecular_geometry
Structure in combinatorial mathematics
tactical configuration or 1-design. The corresponding incidence structure in geometry is known simply as a configuration, see Configuration (geometry). Such
Block_design
Theorem in projective geometry
In projective geometry, Desargues's theorem, named after Girard Desargues, states: Two triangles are in perspective axially if and only if they are in
Desargues's_theorem
Notation in organic chemistry for double bonds
E–Z configuration, or the E–Z convention, is the IUPAC's preferred method of describing the absolute stereochemistry of double bonds in organic chemistry
E–Z_notation
Slovenian mathematician (born 1949)
Pisanski, A. Zitnik, Small triangle-free configurations of points and lines, Discrete & Computational Geometry 35 (3), 2006, 405-427. doi:10.1007/s00454-005-1224-9
Tomaž_Pisanski
Conic solid with a polygonal base
Prismatoids", Discrete & Computational Geometry, 18: 13–52, doi:10.1007/PL00009307. O'Leary, Michael (2010), Revolutions of Geometry, John Wiley & Sons, p. 10,
Pyramid_(geometry)
Yugoslav American mathematician (1929-2018)
Festschrift, Springer Science & Business Media, ISBN 978-1-4612-5648-9 Configuration (geometry) Convex uniform honeycomb Elongated square gyrobicupola Goldner–Harary
Branko_Grünbaum
Form of electric spacecraft propulsion
(2017). "Ion engine grids: Function, main parameters, issues, configurations, geometries, materials and fabrication methods". Chinese Journal of Aeronautics
Ion_thruster
Solid with six equal square faces
A cube is a three-dimensional solid object in geometry. It has eight vertices and twelve straight edges of the same length, so that these edges form six
Cube
Molecular geometry of five coplanar atoms
structure as predicted by VSEPR theory. The geometry is prevalent for transition metal complexes with d8 configuration, which includes Rh(I), Ir(I), Pd(II),
Square planar molecular geometry
Square_planar_molecular_geometry
Property of a mathematical space
back to René Descartes, substantial development of a higher-dimensional geometry only began in the 19th century, via the work of Arthur Cayley, William
Dimension
Algebro-geometric stability condition
In mathematics, and especially differential and algebraic geometry, K-stability is an algebro-geometric stability condition, for complex manifolds and
K-stability
Optical illusion
descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations. Each apparently forms a 13×5
Missing_square_puzzle
Internal structure of random-access memory
Memory geometry describes the logical configuration of a RAM module, but consumers will always find it easiest to grasp the physical configuration. Much
Memory_geometry
Gives a lower bound on the number of lines determined by n points in a projective plane
In incidence geometry, the De Bruijn–Erdős theorem, originally published by Nicolaas Govert de Bruijn and Paul Erdős in 1948, states a lower bound on the
De Bruijn–Erdős theorem (incidence geometry)
De_Bruijn–Erdős_theorem_(incidence_geometry)
Configuration of atoms within a molecule
In chemistry, a trigonal pyramid is a molecular geometry with one atom at the apex and three atoms at the corners of a trigonal base, resembling a tetrahedron
Trigonal pyramidal molecular geometry
Trigonal_pyramidal_molecular_geometry
Permanent geometry of a molecule
The molecular configuration of a molecule is the permanent geometry that results from the spatial arrangement of its bonds. The ability of the same set
Molecular_configuration
Subdivision of the plane by lines
in the 1980s as part of the foundations of computational geometry. Configuration (geometry), an arrangement of lines and a set of points with all lines
Arrangement_of_lines
Configuration space
In geometry, the Fulton–MacPherson compactification of the configuration space of n distinct labeled points in a compact complex manifold is a compact
Fulton–MacPherson compactification
Fulton–MacPherson_compactification
possible to ensure the correct data is recorded. Tool positioning and configuration (geometry) – tools have to be centralised or decentralised depending on the
Wireline_QA/QC
Existence of a line through two points
phenomenon in algebraic geometry, in which the inflection points of a cubic curve in the complex projective plane form a configuration of nine points and twelve
Sylvester–Gallai_theorem
Quadrilateral symmetric across a diagonal
In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and
Kite_(geometry)
Molecular geometry
a non-collinear arrangement of two adjacent bonds have bent molecular geometry, also known as angular or V-shaped. Certain atoms, such as oxygen, will
Bent_molecular_geometry
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)
model configuration B (AGARD-B) has become by far the most popular. Initially intended for the supersonic wind tunnels, the AGARD-B configuration has since
AGARD-B_wind_tunnel_model
Geometric system with a finite number of points
A finite geometry is any geometric system that has only a finite number of points. The familiar Euclidean geometry is not finite, because a Euclidean
Finite_geometry
Method in quantum chemistry
The ground-state wavefunction for H2 at the equilibrium geometry is dominated by the configuration (φ1)2, which means that the molecular orbital φ1 is nearly
Multi-configurational self-consistent field
Multi-configurational_self-consistent_field
Reciprocating internal combustion engine
valves total (16 intake valves, 16 exhaust valves) Turbo configuration: Single; variable vane geometry (VGT) Oil Cooler/EGR Cooler – The sources of the main
Ford_Power_Stroke_engine
Computational problem
sequence of valid configurations that moves the object from the source to destination. The term is used in computational geometry, computer animation
Motion_planning
Covering by shapes without overlaps or gaps
tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include
Tessellation
Aircraft mechanism aiding in landing
Another proposal by B&V, the P 193 attack aircraft, was of pusher configuration and could not rotate its fuselage for takeoff without the propeller
Variable-incidence_wing
Branch of geometry
In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying
Contact_geometry
Reciprocating internal combustion engine
twin-turbochargers with air-to-air intercooler, electronically actuated variable geometry with transient over-boost capability, port deactivation system Fuel system
Ford_AJD-V6/PSA_DT17
Concept in mathematics
One also defines the configuration space of a mechanical linkage with the graph Γ {\displaystyle \Gamma } its underlying geometry. Such a graph is commonly
Configuration space (mathematics)
Configuration_space_(mathematics)
Auto design layouts
The configuration of a car body is typically determined by the layout of the engine, passenger and luggage compartments, which can be shared or separately
Car_body_configurations
Branch of mathematics
by Karl Menger and others. Distance geometry problems arise whenever one needs to infer the shape of a configuration of points (relative positions) from
Distance_geometry
The terminology of algebraic geometry changed drastically during the twentieth century, with the introduction of the general methods, initiated by David
Glossary of classical algebraic geometry
Glossary_of_classical_algebraic_geometry
Type of diffraction grating
gratings are manufactured in the so-called Littrow configuration. The Littrow configuration is a special geometry in which the blaze angle is chosen such that
Blazed_grating
Concept in algebraic geometry
In algebraic geometry and computational geometry, general position is a notion of genericity for a set of points, or other geometric objects. It means
General_position
1932 book by David Hilbert and Stefan Cohn-Vossen
to study and appreciate Geometry. Topics covered by the chapters in the book include the Leibniz formula for π, configurations of points and lines with
Geometry_and_the_Imagination
Airplane wings capable of changing position to alter their geometry
Flight International, Dassault had gained valuable data on variable-geometry configurations from the AFVG programme and may have used the excuse of cost issues
Variable-sweep_wing
Symbol of Freemasonry and other fraternal bodies
"G" stands for God. Another is that it stands for Geometry, and is to remind Masons that Geometry and Freemasonry are synonymous terms described as being
Square_and_Compasses
Description of the electron configuration
examples of every possible d electron configuration. What follows is a short description of common geometries and characteristics of each possible d
D_electron_count
Topics referred to by the same term
to: Color Colorfulness Hue Complexion Visual Appearance Shape Configuration (geometry) Francis J. Blee (a.k.a. Francis J. "Frank" Blee) (born 1958),
Blee
Geometry; how many 3-point lines can n points form
In discrete geometry, the original orchard-planting problem (or the tree-planting problem) asks for the maximum number of 3-point lines attainable by a
Orchard-planting_problem
Maximal and minimal curvature at a point of a surface
In differential geometry, the two principal curvatures at a given point of a surface are the maximum and minimum values of the curvature as expressed by
Principal_curvature
Position of something in relation to its surroundings
In geometry, the orientation, attitude, bearing or angular position of an object – such as a line, plane or rigid body – is the rotation needed to move
Orientation_(geometry)
Arrangement of points on a sphere
neutrally-charged atoms. Related problems include the study of the geometry of the minimum energy configuration and the study of the large N behavior of the minimum
Thomson_problem
Notation for a polyhedron's vertex figure
In geometry, a vertex configuration is a shorthand notation for representing a polyhedron or tiling as the sequence of faces around a vertex. It has variously
Vertex_configuration
1960s project for combat aircraft with a variable-sweep wing
BAC/Dassault AFVG (standing for Anglo-French Variable Geometry) was a 1960s project for supersonic multi-role combat aircraft with a variable-sweep wing
BAC/Dassault_AFVG
Feature of aircraft wings
Variable camber is a feature of some of aircraft wings that changes the camber (or curvature) of the main aerofoil during flight. In one system, the leading
Variable-camber_wing
On lower bounds on the number of lines determined by a set of points in the plane
In discrete geometry, Beck's theorem is any of several different results, two of which are given below. Both appeared, alongside several other important
Beck's_theorem_(geometry)
Branch of discrete mathematics
pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions
Combinatorics
Solid with twenty equal triangular faces
(4): 459–462. MR 1426716. Zbl 0877.51021. Barnes, John (2012). Gems of Geometry (2nd ed.). Springer. doi:10.1007/978-3-642-30964-9. ISBN 978-3-642-30964-9
Regular_icosahedron
Abstract regular polyhedron with 3 square faces
In abstract geometry, a hemicube is an abstract, regular polyhedron, containing half the faces of a cube. It can be realized as a projective polyhedron
Hemicube_(geometry)
Irreducible nodal surface
In algebraic geometry, a Kummer quartic surface, first studied by Ernst Kummer (1864), is an irreducible nodal surface of degree 4 in P 3 {\displaystyle
Kummer_surface
Polyhedron resembling a soccerball
In geometry, the truncated icosahedron is a polyhedron that can be constructed by truncating all of the regular icosahedron's vertices. The polyhedron
Truncated_icosahedron
Type of electrical cable configuration
line. In these cases, the purpose of the star quad configuration is reversed. The star-quad geometry partially cancels the magnetic fields that are produced
Star_quad_cable
Reciprocating internal combustion engine
Turbocharger TD04 turbo (4M40) TF035 turbo (4M40/4M41) IHI RHV5 variable-geometry turbo (4M41) Intercooler available Fuel system Zexel Mechanical or Electronically
Mitsubishi_4M4_engine
Lines not in the same plane
In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair
Skew_lines
CONFIGURATION GEOMETRY
CONFIGURATION GEOMETRY
CONFIGURATION GEOMETRY
Boy/Male
Hindu
A Yaksha king, Another name of Lord Vishnu
Girl/Female
Indian, Tamil
Ruler of the World
Boy/Male
Muslim
Servant of the finder
Boy/Male
Swedish Teutonic
Thor's stone.
Girl/Female
Hindu, Indian, Sindhi
Beautiful
Boy/Male
Indian, Punjabi, Sikh
Worrier
Girl/Female
Muslim
Holy sacred
Male
Swedish
 Swedish pet form of Latin Johan, JANNE means "God is gracious." Compare with another form of Janne.
Boy/Male
Indian
A shafaee jurist, Abu Saeed
Boy/Male
Tamil
Dignity, Majesty
CONFIGURATION GEOMETRY
CONFIGURATION GEOMETRY
CONFIGURATION GEOMETRY
CONFIGURATION GEOMETRY
CONFIGURATION GEOMETRY
a.
Having familiar knowledge united with readiness and dexterity in its application; familiarly acquainted with; expert; skillful; -- often followed by in; as, a person skilled in drawing or geometry.
n.
Relative position or aspect of the planets; the face of the horoscope, according to the relative positions of the planets at any time.
n.
Related to Euclid, or to the geometry of Euclid.
n.
A tidal flood which regularly or occasionally rushes into certain rivers of peculiar configuration or location, in one or more waves which present a very abrupt front of considerable height, dangerous to shipping, as at the mouth of the Amazon, in South America, the Hoogly and Indus, in India, and the Tsien-tang, in China.
n.
the science or art of conducting ships or vessels from one place to another, including, more especially, the method of determining a ship's position, course, distance passed over, etc., on the surface of the globe, by the principles of geometry and astronomy.
v. t.
To determine the form, extent, position, etc., of, as a tract of land, a coast, harbor, or the like, by means of linear and angular measurments, and the application of the principles of geometry and trigonometry; as, to survey land or a coast.
n.
Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity.
n.
The act of superposing, or the state of being superposed; as, the superposition of rocks; the superposition of one plane figure on another, in geometry.
n.
That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity.
n.
The doctrine of the sphere; the science of the properties and relations of the circles, figures, and other magnitudes of a sphere, produced by planes intersecting it; spherical geometry and trigonometry.
n.
The art of delineating the forms of solid bodies on a plane; a branch of solid geometry which shows the construction of all solids which are regularly defined.
n.
The shape and structure of anything, as distinguished from the material of which it is composed; particular disposition or arrangement of matter, giving it individuality or distinctive character; configuration; figure; external appearance.
n.
A planet supposed to influence one's destiny; (usually pl.) a configuration of the planets, supposed to influence fortune.
n.
Form, as depending on the relative disposition of the parts of a thing' shape; figure.
n.
The face or countenance, with respect to the temper of the mind; particular configuration, cast, or expression of countenance, as denoting character.
n.
The four "liberal arts," arithmetic, music, geometry, and astronomy; -- so called by the schoolmen. See Trivium.
n.
A magical figure cut or engraved under certain superstitious observances of the configuration of the heavens, to which wonderful effects are ascribed; the seal, figure, character, or image, of a heavenly sign, constellation, or planet, engraved on a sympathetic stone, or on a metal corresponding to the star, in order to receive its influence.
n.
That branch of applied geometry which gives rules for finding the length of lines, the areas of surfaces, or the volumes of solids, from certain simple data of lines and angles.
a.
Well versed in any branch of learning; qualified by study; learned; as, a man well studied in geometry.
n. pl.
A tribe of Indians who formerly occupied Florida, where some of them still remain. They belonged to the Creek Confideration.