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Topics referred to by the same term
The term triangular coordinates may refer to any of at least three related systems of coordinates in the Euclidean plane: a special case of barycentric
Triangular_coordinates
Relationship between two numbers of the same kind
expressed in extended ratio form as triangular coordinates. In barycentric coordinates, a point with coordinates α, β, γ is the point upon which a weightless
Ratio
Coordinate system that is defined by points instead of vectors
Barycentric coordinates may be easily extended to three dimensions. The 3D simplex is a tetrahedron, a polyhedron having four triangular faces and four
Barycentric_coordinate_system
Polyhedron with 20 faces
be referred to as regular icosahedra, characterized by 30 edges and 20 triangular faces. The term "regular icosahedron" generally refers to a convex polyhedron
Icosahedron
3D model's surface projected to a 2D image
process for texture mapping a 3D model by projecting the model's surface coordinates onto a 2D image. The letters "U" and "V" denote the axes of the 2D texture
UV_mapping
Polyhedral compound
arrangement of 4 triangular prisms, aligned with the axes of three-fold rotational symmetry of an octahedron. Cartesian coordinates for the vertices of
Compound of four triangular prisms
Compound_of_four_triangular_prisms
Polyhedron with four faces
tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertices
Tetrahedron
Representation of a surface as a triangle mesh with elevated vertices
three-dimensional coordinates ( x , y , z ) {\displaystyle (x,y,z)} that are arranged in a network of non-overlapping triangles. A TIN comprises a triangular network
Triangulated irregular network
Triangulated_irregular_network
Shape with three sides
generalized notion of triangles known as the simplex, and the polytopes with triangular facets known as the simplicial polytopes. Each triangle has many special
Triangle
92nd Johnson solid (20 faces)
In geometry, the triangular hebesphenorotunda is a Johnson solid with 13 equilateral triangles, 3 squares, 3 regular pentagons, and 1 regular hexagon,
Triangular_hebesphenorotunda
Graph whose embedding in a Euclidean space forms a regular tiling
to the points in the plane with integer coordinates, x-coordinates being in the range 1, ..., n, y-coordinates being in the range 1, ..., m, and two vertices
Lattice_graph
Geometric prism
vertex coordinates, permuting first 3 coordinates: ([±1,0,0]; ±1) The octahedral prism consists of two octahedra connected to each other via 8 triangular prisms
Octahedral_prism
Numbers arranged in a triangle
Storing a triangular array in a computer requires a mapping from the two-dimensional coordinates (i, j) to a linear memory address. If two triangular arrays
Triangular_array
prisms), and triangular prisms (edge figure prisms). The same process applied to a 16-cell also yields the same figure. The Cartesian coordinates of the vertices
Runcinated_tesseracts
Tent function, often used in signal processing
A triangular function (also known as a triangle function, hat function, or tent function) is a function whose graph takes the shape of a triangle. Often
Triangular_function
Roughly triangular basin that is the deepest part of the Gulf of Mexico
Names Advisory Committee on Undersea Features Gazetteer) is a roughly triangular basin that is the deepest part of the Gulf of Mexico named for Charles
Sigsbee_Deep
Four-dimensional geometrical object
cuboctahedron being dissected by a central hexagon into two triangular cupola. The Cartesian coordinates of the vertices of an origin-centered runcinated 5-cell
Runcinated_5-cell
Mathematical tree of cycles
problem in mathematics Are all triangular cacti graceful or nearly graceful? More unsolved problems in mathematics A triangular cactus is a special type of
Cactus_graph
with the cells of the dual 24-cell, 96 triangular prisms, and 96 hexagonal prisms. The Cartesian coordinates of an origin-centered runcitruncated 24-cell
Runcinated_24-cells
4-D object; direct sum of a cube and a segment
attached with two square pyramids, creating 12 square pyramidal cells, 30 triangular faces, 28 edges, and 10 vertices. A cubical bipyramid can be seen as two
Cubical_bipyramid
Solid made by joining an n- and 2n-gon with triangles and squares
squares, while the base and its opposite face are regular polygons, the triangular, square, and pentagonal cupolae all count among the Johnson solids, and
Cupola_(geometry)
of the dual 24-cell, and 96 triangular prisms corresponding with the edges of the first 24-cell. The Cartesian coordinates of a cantitruncated 24-cell
Cantellated_24-cells
Quasiregular space-filling tesselation
creating a nonuniform honeycomb consisting of tetrahedra and octahedra (as triangular antiprisms). Its vertex figure is an order-3 truncated triakis tetrahedron
Tetrahedral-octahedral honeycomb
Tetrahedral-octahedral_honeycomb
Four-dimensional analogue of the tetrahedron
5-cell itself. Its maximal intersection with 3-dimensional space is the triangular prism. Its dichoral angle between cells is arccos 1/4 ≈ 75.52°. Its
5-cell
Any of the five regular polyhedra
polyhedra: a regular tetrahedron (four triangular faces), a cube (six square faces), a regular octahedron (eight triangular faces), a regular dodecahedron (twelve
Platonic_solid
Coordinate system based on distances from a triangle's sidelines
In geometry, the trilinear coordinates x : y : z of a point relative to a given triangle describe the relative directed distances from the three sidelines
Trilinear_coordinates
Solid with four equal triangular faces
A regular tetrahedron is a polyhedron with four equilateral triangular faces. A regular tetrahedron is a tetrahedron (that is, a four-sided polyhedron)
Regular_tetrahedron
Convex polyhedron with 14 triangle faces
elementary polyhedra. One possible system of Cartesian coordinates for the vertices of a triaugmented triangular prism, giving it edge length 2, is: ( 0 , 2 3
Triaugmented_triangular_prism
Polyhedral compound
It's composed of a symmetric arrangement of 4 octahedra, considered as triangular antiprisms. It can be constructed by superimposing four identical octahedra
Compound_of_four_octahedra
Folly in Rushton, Northamptonshire, England
The Triangular Lodge is a folly, designed by Sir Thomas Tresham and constructed between 1593 and 1597 near Rushton, Northamptonshire, England. It is now
Rushton_Triangular_Lodge
Four-dimensional analog of the icosahedron
tetrahedral cells with 20 meeting at each vertex. Together they form 1200 triangular faces, 720 edges, and 120 vertices. It is the 4-dimensional analogue of
600-cell
Polyhedron formed by joining two prisms
two triangular prisms; these prisms are elementaries because they cannot be sliced into many convex, regular-faced polyhedra. Cartesian coordinates for
Gyrobifastigium
the 8-simplex. Vertices of the bitruncated 8-simplex are located on the triangular faces of the 8-simplex. Vertices of the tritruncated 8-simplex are located
Truncated_8-simplexes
10.1017/mag.2020.115 Scott, J. A. "Some examples of the use of areal coordinates in triangle geometry", Mathematical Gazette 83, November 1999, 472–477
List_of_triangle_inequalities
Archimedean solid with 62 faces
types of regular polygon faces. It has a total of 62 faces: 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, with 60 vertices
Rhombicosidodecahedron
triangular prisms. Each vertex is surrounded by 2 cuboctahedra, 2 triangular prisms, and 1 octahedron; the vertex figure is a nonuniform triangular prism
Cantellated_5-cell
Partition of a surface into contiguous cells
currently in use, including grids based on "square" or "rectangular" cells, triangular grids or meshes, hexagonal grids, and grids based on diamond-shaped cells
Grid_(spatial_index)
Colour space defined by the CIE in 1931
chromaticity diagram to the right) that the deviation of the boundaries of the triangular CIE RGB gamut align well with the spectral locus of the xy chromaticity
CIE_1931_color_space
found, which is not always the case. For example, the land surveyor of a triangular field might find it relatively easy to measure the length of each side
Area_of_a_triangle
Triangle inequality Triangular bipyramid Triangular prism Triangular pyramid Triangular tiling Triangulation Trilinear coordinates Trilinear polarity Trisected
List_of_triangle_topics
Castle
The Venetian Triangular Castle (Albanian: Kalaja Trekëndore Venedikase) is a castle near Butrint. The castle is located by the Channel of Vivari nearby
Venetian_Triangular_Castle
Polyhedron with 12 faces
{\text{Long side}}} The eight vertices of a cube have the coordinates (±1, ±1, ±1). The coordinates of the 12 additional vertices are (0, ±(1 + h), ±(1 −
Dodecahedron
Type of tesseract
form truncated tetrahedra which share their triangular faces with each other. The Cartesian coordinates of the vertices of a bitruncated tesseract having
Truncated_tesseract
Skyscraper complex in Tel Aviv, Israel
run-up competition in New York City.[citation needed] The Azrieli Center Triangular Tower has a height of 169 m (554 ft 6 in). Construction of this tower
Azrieli_Center
Equations of motion for viscous fluids
degrees-of-freedom. With this, one can draw a large number of candidate triangular and rectangular elements from the plate-bending literature. These elements
Navier–Stokes_equations
Type of polyhedron
It can fill space with the truncated cube, truncated tetrahedron and triangular prism as a truncated runcic cubic honeycomb. As a zonohedron, it can be
Truncated_rhombicuboctahedron
Triangular arrangement joining three rail lines
terminology, a wye (like the 'Y' glyph) or triangular junction (often shortened to just triangle) is a triangular joining arrangement of three rail lines
Wye_(rail)
File format for 3D printing and scanning
specification, all STL coordinates were required to be positive numbers, but this restriction is no longer enforced and negative coordinates are commonly encountered
STL_(file_format)
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) Denotes
List of longwave radio broadcasters
List_of_longwave_radio_broadcasters
Barycentric plot on three variables
ternary plot correspond (up to a constant) to its trilinear coordinates or barycentric coordinates. There are three equivalent methods that can be used to
Ternary_plot
Number used to approximate the square root of 2
approximate the square root of two, Pell numbers can be used to find square triangular numbers, to construct integer approximations to the right isosceles triangle
Pell_number
Convex polytope of parenthesizations
triaugmented triangular prism. Initially Jim Stasheff considered these objects as curvilinear polytopes. Subsequently, they were given coordinates as convex
Associahedron
Polyhedron with 8 triangles and 6 squares
cuboctahedron, rectified cube, or rectified octahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with
Cuboctahedron
Geography of Ethiopia
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The extreme
Extreme_points_of_Ethiopia
Empirical study of systems in transformation
around their various poles to form great circle networks and corresponding triangular tiles on the surface of a sphere. He exhaustively catalogues the central
Synergetics_(Fuller)
Polyhedral compound
are composed of a symmetric arrangement of 10 octahedra, considered as triangular antiprisms, aligned with the axes of three-fold rotational symmetry of
Compound_of_ten_octahedra
faces (120 triangles and 90 squares), 180 cells (60 tetrahedra and 120 triangular prisms) and 62 4-faces (12 5-cells, 30 tetrahedral prisms and 20 3-3 duoprisms)
Stericated_5-simplexes
vertex joins three truncated octahedra and one cube, in an equilateral triangular pyramid vertex figure. The truncated 24-cell can be constructed from polytopes
Truncated_24-cells
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) This is
List of heritage sites in Graaff-Reinet
List_of_heritage_sites_in_Graaff-Reinet
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) This is
List of heritage sites in Stellenbosch
List_of_heritage_sites_in_Stellenbosch
to each other at their hexagonal faces, and to the tetrahedra at their triangular faces. Seen in a configuration matrix, all incidence counts between elements
Truncated_5-cell
Polyhedral compromise map projection
map, the Airocean World Map, based on an icosahedron with a few of the triangular faces cut to avoid breaks in landmasses. The Dymaxion projection is intended
Dymaxion_map
Catalan solid with 60 faces
triakis icosahedron. The triakis icosahedron can be formed by gluing triangular pyramids to each face of a regular icosahedron. Depending on the height
Triakis_icosahedron
Dense arrangement of congruent spheres in an infinite, regular arrangement
Both are based upon sheets of spheres arranged at the vertices of a triangular tiling; they differ in how the sheets are stacked upon one another. The
Close-packing of equal spheres
Close-packing_of_equal_spheres
Polyhedron with 62 faces
its edge arrangement with the great dodecicosidodecahedron (having the triangular and pentagrammic faces in common), and the great rhombidodecahedron (having
Nonconvex great rhombicosidodecahedron
Nonconvex_great_rhombicosidodecahedron
18th-century fortifications of Riga
The Triangular Bastion (Latvian: Triangula bastions) was part of the 18th-century fortifications of Riga. Its foundations are nowadays visible under a
Triangular_Bastion
Polytope in 8-dimensional geometry
combination of signs and an arbitrary permutation of coordinates, and 128 roots (27) with coordinates obtained from ( ± 1 , ± 1 , ± 1 , ± 1 , ± 1 , ± 1
4_21_polytope
Uniform 6-polytope
hypercupolas consisting of 7 5-simplexes, 21 5-cell prisms and 35 Tetrahedral-Triangular duoprisms each. The vertices of the pentellated 6-simplex can be positioned
Pentellated_6-simplexes
Catalan solid with 60 faces
12 pentagonal faces of the snub dodecahedron, and triangular pyramids are added to the 20 triangular faces that do not share an edge with a pentagon. The
Pentagonal_hexecontahedron
Convex polyhedron with 12 triangular faces
different approaches. This shape is also called Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron. The snub disphenoid
Snub_disphenoid
Surveying method
networks are free of the strength of figure considerations that happen in triangular systems; Scale error does not add up as the traverse is performed. Azimuth
Traverse_(surveying)
American cloud application company
rebranded to Vercel in April 2020, although it retained the company's triangular logo. In June 2021, Vercel raised $102 million in a Series C funding round
Vercel
River in Quebec, Canada
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) Lake Aylmer
Bernier River (Saint-François River tributary)
Bernier_River_(Saint-François_River_tributary)
squares), 135 cells (30 tetrahedra, 30 octahedra, 15 cuboctahedra and 60 triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and
Cantellated_5-simplexes
constructed by a 4-dimensional packing of 16-cell facets, three around every (triangular) face. Its dual is the 24-cell honeycomb. Its vertex figure is a 24-cell
16-cell_honeycomb
State of Sudan
census, and officially estimated at 7,993,900 in 2018. It contains the Triangular capital consisting of the capital and largest city by population, Khartoum
Khartoum_State
Alluvial plain in southern Spain
the lower valley of the Guadalquivir in Andalusia, Spain. It is a large triangular-shaped area in the Guadalquivir basin oriented roughly northeast to southwest
Baetic_Depression
Computer scientist
generalized barycentric coordinates. With Scott Schaefer and Joe Warren, he published "Mean Value Coordinates for Closed Triangular Meshes", which generalized
Tao_Ju
Matrix decomposition
matrix A into a product A = QR of an orthonormal matrix Q and an upper triangular matrix R. QR decomposition is often used to solve the linear least squares
QR_decomposition
Lok Sabha Constituency in Delhi
Tight Triangular Contest in Purvanchali-Dominated North East Delhi". NewsClick. 11 May 2019. Retrieved 22 May 2019. "Elections 2019: Tight Triangular Contest
North East Delhi Lok Sabha constituency
North_East_Delhi_Lok_Sabha_constituency
Convex uniform 4-polytope
cubes, the separating edges form the three parallel edges of a triangular prism—32 triangular prisms, since there were 32 edges. Further, since each vertex
Cantellated_tesseract
Regular object in four dimensional geometry
six meeting at each vertex, and three at each edge. Together, it has 96 triangular faces, 96 edges, and 24 vertices. Like other four-dimensional regular
24-cell
Algorithm for generating contour lines on a 2D scalar field
topological grid, but the spatial coordinates assigned to the vertices can be in 2D, 3D or higher dimensions. For example, a triangular mesh may represent a 2D
Marching_squares
Skyscraper in Manhattan, New York
the Fuller Building) is a 22-story, 307-foot-tall (93.6 m) steel-framed triangular building at 175 Fifth Avenue in the Flatiron District neighborhood of
Flatiron_Building
10-simplex. Vertices of the birectified 10-simplex are located in the triangular face centers of the 10-simplex. Vertices of the trirectified 10-simplex
Rectified_10-simplexes
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The spits
Spits_of_the_Sea_of_Azov
Catalan solid with 60 faces
\phi ,\pm 1/\phi ,0)} and cyclic permutations of these coordinates. Multiplying all coordinates of the icosahedron by a factor of ( 3 ϕ + 12 ) / 19 ≈ 0
Pentakis_dodecahedron
Catalan solid with 24 faces
added to the six square faces of the snub cube, and triangular pyramids are added to the eight triangular faces that do not share an edge with a square. The
Pentagonal_icositetrahedron
Type of geometric object
the 9-simplex. Vertices of the birectified 9-simplex are located in the triangular face centers of the 9-simplex. Vertices of the trirectified 9-simplex
Rectified_9-simplexes
Stolen 1633 painting by Rembrandt
asymmetry and thickened the mast, departing from the typical square or triangular sail to enhance the scene’s drama. Art historian Christian Tümpel observed
The Storm on the Sea of Galilee
The_Storm_on_the_Sea_of_Galilee
tetrahedra and three icosahedra meet at each vertex. In total it has 480 triangular faces, 432 edges, and 96 vertices. One can build it from the 600-cell
Snub_24-cell
Laws describing planetary orbits
gives the area of a parallelogram possessing sides of those vectors, the triangular area dA swept out in a short period of time is given by half the cross
Kepler's laws of planetary motion
Kepler's_laws_of_planetary_motion
Ancient Roman gate in Verona, northern Italy
twelve arched windows, some of which are included in small niches with a triangular pediment. Porta Leoni Porta Nuova, Verona "Roman gate "Borsari" - Verona"
Porta_Borsari,_Verona
Polyhedral compound
with a 2n-prism, and exist as two alternated set of vertices. Cartesian coordinates for the vertices of an antiprism with n-gonal bases and isosceles triangles
Prismatic compound of antiprisms
Prismatic_compound_of_antiprisms
8-orthoplex. Vertices of the bitruncated 8-orthoplex are located on the triangular faces of the 8-orthoplex. Vertices of the tritruncated 7-orthoplex are
Truncated_8-orthoplexes
Suburb of Somerset Region, Queensland, Australia
Map all coordinates using OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) Split
Split_Yard_Creek,_Queensland
Battle where the Qin state decisively defeated the Zhao state
the Dan River valley exits. These detachments eventually completed a triangular encirclement that trapped Zhao Kuo's forces inside the river valley. Zhao
Battle_of_Changping
Rail line
(45 mi) line has overhead electrification at 25 kV, 50 Hz. Including a triangular junction west of Gare Habib Bourguiba Monastir, the line is mostly double
Sahel_Metro
Shape with three equal sides
balls with a tool of an equilateral triangular shaped rack. The chess variants, namely tri-chess and triangular chess, invented by George R. Dekle Sr
Equilateral_triangle
Mountain on Iraq and Iran border
Hamilton Road and the village of Gundah Zhur. Some fields are marked by red, triangular signs with skull and crossbones. It is possible to find Kurdish military
Cheekha_Dar
TRIANGULAR COORDINATES
TRIANGULAR COORDINATES
TRIANGULAR COORDINATES
TRIANGULAR COORDINATES
TRIANGULAR COORDINATES
TRIANGULAR COORDINATES
TRIANGULAR COORDINATES
TRIANGULAR COORDINATES
TRIANGULAR COORDINATES