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Spatial grid based on a geodesic polyhedron
A geodesic grid is a spatial grid based on a geodesic polyhedron or Goldberg polyhedron. The earliest use of the (icosahedral) geodesic grid in geophysical
Geodesic_grid
Partition of Earth's surface into subdivided cells
old geodesic standard (e.g. SAD69) or a non-geodesic surface (e. g. perfectly spherical surface) must be adopted, and will be covered by the grid. In
Discrete_global_grid
Polyhedron made from triangles that approximates a sphere
the geodesic domes, hemispherical architectural structures designed by Buckminster Fuller, which geodesic polyhedra are named after. Geodesic grids used
Geodesic_polyhedron
Spherical shell structure based on a geodesic polyhedron
A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron. The rigid triangular elements of the dome distribute
Geodesic_dome
Partition of a surface into contiguous cells
polygons Geodesic grid Spatial index Grid plan Grid reference Geocode hex map quadrilateralized spherical cube Quadtree R-tree Alpha-numeric grid Utility
Grid_(spatial_index)
Type of map projection
projection, used for geodesic grids. Authalic latitude Authalic radius Equiareal map (mathematics) Measure-preserving dynamical system Geodesic polygon area Snyder
Equal-area_projection
Pseudocylindrical equal-area map projection
projections. The MODLAND Integerized Sinusoidal Grid, based on the sinusoidal projection, is a geodesic grid developed by the NASA's Moderate-Resolution Imaging
Sinusoidal_projection
Shortest paths on a bounded deformed sphere-like quadric surface
The study of geodesics on an ellipsoid arose in connection with geodesy specifically with the solution of triangulation networks. The figure of the Earth
Geodesics_on_an_ellipsoid
Horizontal angle from north or other reference cardinal direction
of the spheroid; geodetic azimuth (or geodesic azimuth) is the angle between north and the ellipsoidal geodesic (the shortest path on the surface of the
Azimuth
NATO global coordinate reference system
The Military Grid Reference System (MGRS) is the geocoordinate standard used by NATO militaries for geo-referencing, position reporting, and situational
Military Grid Reference System
Military_Grid_Reference_System
Straight path on a curved surface or a Riemannian manifold
In geometry, a geodesic (/ˌdʒiː.əˈdɛsɪk, -oʊ-, -ˈdiːsɪk, -zɪk/) is a curve representing in some sense the locally shortest path (arc) between two points
Geodesic
Topics referred to by the same term
solutions for Rubik's Cube quaternary triangular mesh, a method to build a geodesic grid Quantum Corporation (NYSE stock ticker: QTM), see Companies listed on
QTM
Pseudocylindrical equal-area map projection
similarities to another alternative grid based on the icosahedron. List of map projections Spatial grid Geodesic grid Calabretta, Mark R.; Roukema, Boudewijn
HEALPix
Type of climate model
experiments use geodesic grids and icosahedral grids, which (being more uniform) do not have pole-problems. Another approach to solving the grid spacing problem
General_circulation_model
Cartesian geographic coordinate system
called a projected coordinate reference system, planar coordinate system, or grid reference system – is a type of spatial reference system that represents
Projected_coordinate_system
shapes Regular grid — consists of congruent parallelograms, or higher-dimensional analogue Unstructured grid Geodesic grid — isotropic grid on a sphere Mesh
List of numerical analysis topics
List_of_numerical_analysis_topics
Topics referred to by the same term
ISEA may refer to: Icosahedral Snyder Equal Area, see geodesic grid Independent Schools Education Association Institute for Social and Economic Analyses
ISEA
Graph operation
Wikimedia Commons has media related to Goldberg–Coxeter construction. Geodesic grid Quadrilateralized spherical cube Loop subdivision surface Catmull–Clark
Goldberg–Coxeter_construction
System of geographic grid references used in Great Britain
Ordnance Survey National Grid reference system (OSGB), also known as British National Grid (BNG), is a system of geographic grid references, distinct from
Ordnance_Survey_National_Grid
Solid with twenty equal triangular faces
of an icosahedron Dogic, an icosahedral version of Rubik's Cube Geodesic grid Geodesic polyhedron Goldberg polyhedron, a convex polyhedron made from hexagons
Regular_icosahedron
Polyhedral equal-area map projection
discrete global grid scheme. It is similar to the quad sphere but is not equal-area. List of map projections Cube mapping Geodesic grid "Quadrilateralized
Quadrilateralized spherical cube
Quadrilateralized_spherical_cube
Data structure for storing geometric information
nearly equal shape and size. HEALPix Quadrilateralized spherical cube Geodesic grid Szalay, Alexander S.; Gray, Jim; Fekete, George; Kunszt, Peter Z.; Kukol
Hierarchical_triangular_mesh
Map projection system
apparently dating from 1943–1944 bear the inscription UTMREF followed by grid letters and digits, and projected according to the transverse Mercator, a
Universal Transverse Mercator coordinate system
Universal_Transverse_Mercator_coordinate_system
System of geographic grid references used for mapping in Ireland
The Irish grid reference system is a system of geographic grid references used for paper mapping in Ireland (both Northern Ireland and the Republic of
Irish_grid_reference_system
A "regular" geodesic structure have members of equal length but strengths of members may vary depending on location in the geodesic "grid". Grotto An
Glossary_of_architecture
Any of the five regular polyhedra
which employ geodesic grids that are based on an icosahedron (refined by triangulation) instead of the more commonly used longitude/latitude grid. This has
Platonic_solid
Systematic representation of the surface of a sphere or ellipsoid onto a plane
Sinusoidal Strebe 1995 Snyder's equal-area polyhedral projection, used for geodesic grids. Tobler hyperelliptical Werner If the length of the line segment connecting
Map_projection
Coordinate system for Israel
Israeli Transverse Mercator (ITM), also known as the New Israel Grid (NIG; Hebrew: רשת ישראל חדשה, רשת ישראל החדשה Reshet Yisra'el Ha-Ḥadasha) is the official
Israeli_Transverse_Mercator
Concept by Al Gore
Destination Earth (European Union) Digital twin Geocode Geodesic grid Géoportail Geoweb Grid reference International Cartographic Association (ICA) International
Digital_Earth
Multi-purpose grid reference system used in the United States
The United States National Grid (USNG) is functionally and operationally equivalent to the Military Grid Referencing System (MGRS), specified by the U
United_States_National_Grid
Distance measured along the surface of the Earth
title (link) Torge & Müller (2012) Geodesy, De Gruyter, p.249 An online geodesic calculator (based on GeographicLib). An online geodesic bibliography.
Geographical_distance
manifolds, geodesics are paths of shortest distance between two points. The concept of geodesics becomes central in general relativity, since geodesic motion
Introduction to the mathematics of general relativity
Introduction_to_the_mathematics_of_general_relativity
Geodesic dome at the University of Notre Dame
and made other improvements to assure its continued use. Geodesic airframe Geodesic grid Geodesic tents Chase, John (22 October 1998). "Mary Stepan: Walked
Stepan_Center
Dark ride at Epcot
at the EPCOT theme park at Walt Disney World in Bay Lake, Florida. The geodesic sphere in which the attraction is housed has served as the symbolic structure
Spaceship_Earth_(Epcot)
Characterizes spherical triangles with fixed base and area
882274 Carfora, Maria Francesca (2007), "Interpolation on spherical geodesic grids: A comparative study", Journal of Computational and Applied Mathematics
Lexell's_theorem
Providing control of layout during building
and surveys of existing conditions are generally performed according to geodesic coordinates. However, for the purposes of construction a more suitable
Construction_surveying
Public domain geocoding invented in 2008
industry. List of geodesic-geocoding systems Geohash-36 (is not a Geohash-variant) Grid (spatial index) Maidenhead Locator System Military Grid Reference System
Geohash
Type of map projection
S2CID 128390865. Sahr, Kevin; White, Denis; Kimerling, A.J. (2003). "Geodesic discrete global grid systems" (PDF). Cartography and Geographic Information Science
Polyhedral_map_projection
Concept in mathematics
space X {\displaystyle X} is geodesic, i.e. any two points x , y ∈ X {\displaystyle x,y\in X} are end points of a geodesic segment [ x , y ] {\displaystyle
Hyperbolic_metric_space
Reference frame for measuring location
believe Earth was prolate (narrower at the equator). The subsequent French geodesic missions (1735-1739) to Lapland and Peru corroborated Newton, but also
Geodetic_datum
Historical geographic coordinate system
Israeli Cassini Soldner (ICS), commonly known as the Old Israeli Grid (OIG; Hebrew: רשת ישראל הישנה Reshet Yisra'el Ha-Yeshana) is the old geographic coordinate
Israeli_Cassini_Soldner
Upper-half plane model of hyperbolic non-Euclidean geometry
half-plane, this geodesic is mapped into the other geodesics through the action of PSL(2,R). Thus, the general unit-speed geodesic is given by γ ( t
Poincaré_half-plane_model
Standardized geospatial reference system
character is the keypad “key” number. (ex.006AG39) Military Grid Reference System List of geodesic-geocoding systems NGA's description Archived 2006-10-20
Global_Area_Reference_System
Coordinate system for Ireland
Mercator map projection, optimised for the island of Ireland. The older Irish grid reference system required GPS measurements to be "translated" (using co-ordinate
Irish_Transverse_Mercator
Thin-walled structural element
shell structures, also called gridshell structures, often in the form of a geodesic dome or a hyperboloid structure Membrane structures, which include fabric
Shell_(structure)
Science of measuring the shape, orientation, and gravity of Earth
The general solution is called the geodesic for the surface considered, and the differential equations for the geodesic are solvable numerically. On the
Geodesy
Fixed surveying station used in geodetic surveying
the visible trig point, there are concealed reference marks whose National Grid References are precisely known. The standard trig point design is credited
Triangulation_station
Structural design which uses diagonal members instead of columns
Norman Foster Gridshell Geodesic dome Hyperboloid structure Panrussian Exposition 1896 Tensile and membrane structures Stretched grid method Isogrid Thin-shell
Diagrid
Non-linear partial differential equation encountered in problems of wave propagation
1137/10080909X. S2CID 6404391. Kimmel, R.; Sethian, J. A. (1998). "Computing Geodesic Paths on Manifolds". Proceedings of the National Academy of Sciences. 95
Eikonal_equation
System to specify locations on Earth
locations using multilateration. Projected coordinate system (or planar, grid) A standardized cartesian coordinate system that models the surface of Earth
Spatial_reference_system
the Earth (radius and circumference) Geodetic coordinates Geodetic datum Geodesic Horizontal position representation Latitude / Longitude Map projection
Earth's_circumference
Measure of similarity between curves
The leash is required to be a geodesic joining its endpoints. The resulting metric between curves is called the geodesic Fréchet distance. Cook and Wenk
Fréchet_distance
Polyhedral compromise map projection
Richards, Allen (May–June 1971). "R. Buckminster Fuller: Designer of the Geodesic Dome and the World Game". Mother Earth News. Retrieved 19 January 2014
Dymaxion_map
Abstract strategy board game
much more plausible. Thus the present "official" board is essentially a geodesic dome hemisphere squashed flat into a triangle to provide this effect. It
Y_(game)
3D model's surface projected to a 2D image
{\displaystyle v=0.5+{\frac {\arcsin(d_{y})}{\pi }}.} Cartographic projection Geodesic Least squares conformal map Mesh parameterization NURBS Polygon mesh Radon
UV_mapping
150; -6.567). This route is 20,701 km (12,863 mi) long. As distinct from geodesic lines, which appear straight only when projected onto the spheroidal surface
Extremes_on_Earth
Plane figure bounded by line segments
Aronov et al., Springer (2003), p. 464. Hass, Joel; Morgan, Frank (1996). "Geodesic nets on the 2-sphere". Proceedings of the American Mathematical Society
Polygon
System to specify locations on Earth
surface of Earth, without consideration of altitude or depth. The visual grid on a map formed by lines of latitude and longitude is known as a graticule
Geographic_coordinate_system
Coordinates to capture characteristics of rotating frames of reference
the geodesic bends slightly outward. This completes the description of the appearance of null geodesics in the Born chart, since every null geodesic is
Born_coordinates
Cellular automaton
a cellular automaton. In its original formulation, each site on a finite grid has an associated value that corresponds to the slope of the pile. This slope
Abelian_sandpile_model
Regular tiling of the plane
Order-6 triangular tiling at Wikimedia Commons Weisstein, Eric W. "Triangular Grid". MathWorld. Weisstein, Eric W. "Regular tessellation". MathWorld. Weisstein
Triangular_tiling
Theory and technique for handling geometrical structures
bisectors Granulometry Geodesic distance functions In grayscale morphology, images are functions mapping a Euclidean space or grid E into R ∪ { ∞ , − ∞
Mathematical_morphology
Structure deriving strength from a double curvature
Stockholm, 2022. Tensile structure Stretched grid method Thin-shell structure Lamella (structure) Geodesic dome Hyperboloid structure Buckminster Fuller
Gridshell
Grid-based method of specifying locations
The World Geographic Reference System (GEOREF) is a geocode, a grid-based method of specifying locations on the surface of the Earth. GEOREF is essentially
World Geographic Reference System
World_Geographic_Reference_System
Mathematical puzzle
into a cylinder, so that the dots align along a single helix (which, as a geodesic of the cylinder, could be considered to be in some sense a straight line)
Nine_dots_puzzle
Separation between two points
between two points along a curved surface is known as a geodesic. The arc length of geodesics gives a way of measuring distance from the perspective of
Distance
Interdisciplinary field of biology
flows between coordinates in computational anatomy are constrained to be geodesic flows satisfying the principle of least action for the Kinetic energy of
Computational_anatomy
Cylindrical conformal map projection
circumference of that parallel; i.e., 10,007.5 km. On the other hand, the geodesic between these points is a great circle arc through the pole subtending
Mercator_projection
invention by Walther Bauersfeld of both thin shells of reinforced concrete and geodesic domes. The use of steel, computers, and finite element analysis enabled
20th-century_domes
longitude undefined at these points. Also near the poles the latitude/longitude grid is highly non-linear, and several errors may occur in calculations that are
Horizontal position representation
Horizontal_position_representation
Problem of computing shortest paths around geometric obstacles
Samuel, David; Toussaint, Godfried T. (1990), "Computing the external geodesic diameter of a simple polygon", Computing, 44 (1): 1–19, doi:10.1007/BF02247961
Euclidean_shortest_path
1976 film
remnants of human civilization live in a sealed city beneath a cluster of geodesic domes, a utopia run by a computer. The citizens live a hedonistic lifestyle
Logan's_Run_(film)
3-D coordinate system centered on the Earth
the Earth (radius and circumference) Geodetic coordinates Geodetic datum Geodesic Horizontal position representation Latitude / Longitude Map projection
Earth-centered, Earth-fixed coordinate system
Earth-centered,_Earth-fixed_coordinate_system
Gridded latitude-longitude-based area notation system
ICES Statistical Rectangles (aka "ICES Rectangles") is a gridded, latitude-longitude based area notation system covering the north-east Atlantic region
ICES_Statistical_Rectangles
Particular mapping that projects a sphere onto a plane
inverse stereographic projection from the plane to the sphere defines a geodesic distance between points in the plane equal to the spherical distance between
Stereographic_projection
Geodetic reference system
between various stations, and differences in elevation, all reduced to a grid of latitudes, longitudes, and elevations. Heritage surveying methods found
World_Geodetic_System
Arc crossing all meridians of longitude at the same angle
great circle is locally "straight" with zero geodesic curvature, whereas a rhumb line has non-zero geodesic curvature. Meridians of longitude and parallels
Rhumb_line
Mathematical theory of the geometry of space and time
force in Newton's static Euclidean reference frame. Objects move along geodesics—curved paths determined by the local geometry of spacetime—rather than
Curved_spacetime
The modified transverse Mercator (MTM) coordinate system is a metric grid-based method of specifying geographic locations, similar to the Universal Transverse
Modified_transverse_Mercator
System of geographic location identifiers
coordinates of a horizontal grid (2D). If a third comma-separated value is present, it represents altitude; so, coordinates of a 3D grid. Coordinates in the Southern
Geo_URI_scheme
Building designed to be independent from public infrastructure
independently from infrastructural support services such as the electric power grid, gas grid, municipal water systems, sewage treatment systems, storm drains, communication
Autonomous_building
Architectural element similar to the hollow upper half of a sphere; there are many types
generic term that includes ribbed, Schwedler, three-way grid, lamella or Kiewitt, lattice, and geodesic domes. The different terms reflect different arrangements
Dome
Conjecture on zeros of the zeta function
an infinite product similar to the Euler product but taken over closed geodesics rather than primes. The Selberg trace formula is the analogue for these
Riemann_hypothesis
Rigid three-dimensional load-bearing truss structure
Motorcycles Bicycles Spacecraft Architectural design elements Atriums Geodesics Space frames are a common feature in modern building construction; they
Space_frame
2001 mathematics book by Jack E. Graver
history of rigidity theory, applications including mechanical linkages, geodesic domes, tensegrity, the rigidity of molecules in chemistry, and even art
Counting_on_Frameworks
Registry of geographic reference systems
the Earth (radius and circumference) Geodetic coordinates Geodetic datum Geodesic Horizontal position representation Latitude / Longitude Map projection
EPSG Geodetic Parameter Dataset
EPSG_Geodetic_Parameter_Dataset
Size and shape used to model the Earth for geodesy
the Earth (radius and circumference) Geodetic coordinates Geodetic datum Geodesic Horizontal position representation Latitude / Longitude Map projection
Figure_of_the_Earth
Geographic coordinate specifying north-south position
Bessel who solved problems for geodesics on the ellipsoid by transforming them to an equivalent problem for spherical geodesics by using this smaller latitude
Latitude
Mathematical space with two coordinates
represented using four real dimensions. A two-dimensional lattice is an infinite grid of points which can be represented using integer coordinates. Some two-dimensional
Two-dimensional_space
Ocean shape without winds and tides
surveying, is closer to orthometric height. Modern GPS receivers have a grid implemented in their software by which they obtain, from the current position
Geoid
Map projection for linear projects
projection is equally applicable to any application requiring a low distortion grid along a linear route (for example pipelines and roads). The name of the projection
Snake_Projection
1981 book by Richard Buckminster Fuller
US, using radio triangulation, during and after World War II (p. 184). Geodesic domes will be built to enclose entire cities (p. 179). Afghanistan was
Critical_Path_(book)
Surface of revolution of a catenary
minimal disk in the unit ball with free boundary is an equatorial totally geodesic disk. Nitsche also claimed without proof in the same paper that any free
Catenoid
Equations describing classical electromagnetism
Fundamental concepts Equivalence principle Riemannian geometry Penrose diagram Geodesics Mach's principle Formulation ADM formalism BSSN formalism Einstein field
Maxwell's_equations
Meridian line in Paris, France
equator, the other in a high latitude. Thus arose the celebrated French Geodesic Missions [fr], to the Equator and to Lapland, the latter directed by Pierre
Paris_meridian
Concept in network topology
confused with the diameter of the network, which is defined as the longest geodesic, i.e., the longest shortest path between any two nodes in the network (see
Average_path_length
Atomic charge calculation method
CHELPG (CHarges from ELectrostatic Potentials using a Grid-based method) is an atomic charge calculation scheme developed by Breneman and Wiberg, in which
CHELPG
the Earth (radius and circumference) Geodetic coordinates Geodetic datum Geodesic Horizontal position representation Latitude / Longitude Map projection
List_of_geodesists
Angle between two objects
of the vessel. A grid bearing (also known as grid azimuth) is measured in relation to the fixed horizontal reference plane of grid north, that is, using
Bearing_(navigation)
Compression algorithm for world coordinate data
'Geohash36' – a Ruby implementation of the Geohash-36 algorithm. List of geodesic-geocoding systems "DCENR Postcodes". Retrieved 26 June 2012. "Geohash Tips
Geohash-36
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