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Barycentric plot on three variables
A ternary plot, ternary graph, triangle plot, simplex plot, or Gibbs triangle is a barycentric plot on three variables which sum to a constant. It graphically
Ternary_plot
Topics referred to by the same term
true, false, and some other value Ternary plot or ternary graph, a plot that shows the ratios of three proportions Ternary relation, a finitary relation in
Ternary
Shape with three equal sides
resemblance of the trigonal planar molecular geometry in stereochemistry, ternary plots in several fields, Einthoven's triangle in electrocardiography, as a
Equilateral_triangle
Plot of flammability in gaseous mixtures
three gasses are usually depicted in a triangular diagram, known as a ternary plot. Such diagrams are available in literature. The same information can
Flammability_diagram
Graphical technique for data sets
Optionally, the plotted values can be color-coded. Star plot Surface plot Ternary plot : A ternary plot, ternary graph, triangle plot, simplex plot, or de Finetti
Plot_(graphics)
Graphic procedure in the geochemical interpretation of water-analyses
separate ternary plots. The apexes of the cation plot are calcium, magnesium and sodium plus potassium cations. The apexes of the anion plot are sulfate
Piper_diagram
Chart used to show conditions at which physical phases of a substance occur
in a ternary system an equilateral triangle is used, called Gibbs triangle (see also Ternary plot). Gibbs triangle Space phase diagram of a ternary system
Phase_diagram
Canadian computing company
Plotly is a technical computing company headquartered in Montreal, Quebec, that develops online data analytics and visualization tools. Plotly provides
Plotly
Ternary plot used in population genetics
A de Finetti diagram is a ternary plot used in population genetics. It is named after the Italian statistician Bruno de Finetti (1906–1985) and is used
De_Finetti_diagram
Various colors of gold obtained by alloying gold with other elements
Ternary plot of different colors of Ag–Au–Cu alloys
Colored_gold
Measure of solvency/solution
Molality Mole fraction Mass fraction Isotopic abundance Mixing ratio Ternary plot Total dissolved solids Solubility Solubility equilibrium Solvation Solvation
Hydration_number
Parts of a whole which carry only relative information
Compositional data in three variables can be plotted via ternary plots. The use of a barycentric plot on three variables graphically depicts the ratios
Compositional_data
Set of points on a line segment with certain topological properties
modern point-set topology. The most common construction is the Cantor ternary set, built by removing the middle third of a line segment and then repeating
Cantor_set
Writing paper with a grid
edge. It is used to plot compositional percentages of in systems that have three constituents or three dimensions. (see ternary plot) In general, graphs
Graph_paper
Identity, arrangement, and ratio of the elements that make up a compound
composition of a mixture can be represented graphically in plots like ternary plot and quaternary plot. Ball, David W.; Key, Jessie A. (2014). Introductory
Chemical_composition
Book by John Maynard Smith
Games Cover of Evolution and the Theory of Games, with an exemplary ternary plot of frequency changes of three different strategies Author John Maynard
Evolution and the Theory of Games
Evolution_and_the_Theory_of_Games
Multi-dimensional generalization of triangle
compositional data and are also used in plotting quantities that sum to 1, such as proportions of subpopulations, as in a ternary plot. In probability theory, a simplex
Simplex
Equation in thermodynamics
the other components of the solution representable in a diagram like ternary plot. The last equality can be integrated from x 2 = 1 {\displaystyle x_{2}=1}
Gibbs–Duhem_equation
Change in concentration when mixing two liquids
ratio or dilution factor is intended. Fraction (chemistry) Concentration Ternary plot Dr. Walker. "Dilutions" (PDF). Weber State University. Retrieved 2023-05-06
Dilution_ratio
Proportion of a constituent in a mixture
phase diagrams using, for instance, ternary plots. Mixing binary mixtures with a common component gives a ternary mixture with certain mixing ratios between
Mole_fraction
Canadian provincial election
results are calculated relative to Family Coalition Party results. Ternary plots – shift of electoral support (1996–2001) 1996 2001 Electoral districts
2001 British Columbia general election
2001_British_Columbia_general_election
Canadian provincial election
held in BC since the voting age was lowered from 19 to 18 in 1992. Ternary plots – shift of electoral support (1991–1996) 1991 1996 Electoral districts
1996 British Columbia general election
1996_British_Columbia_general_election
Run chart Seasonal subseries plot Scatter plot Skewplot Ternary plot Recurrence plot Waterfall chart Violin plot Ulam spiral Nomogram Fitness landscape Weather
List_of_graphical_methods
Type of sedimentary rock
sandstone. This chart is similar to those used in igneous petrology. When plotted correctly, this model of analysis creates a meaningful quantitative classification
Sandstone
Model of the constraints of project management
Efficiency–thoroughness trade-off principle Quality, cost, delivery Trilemma Ternary plot Atkinson, Roger (December 1999). "Project management: cost, time and
Project_management_triangle
Topics referred to by the same term
method for constructing an n-dimensional noise function Simplex plot, a ternary plot used in game theory Simplex communication, a one-way communications
Simplex_(disambiguation)
visualizing genotype frequencies as distances to triangle edges x (AA), y (Aa) and z (aa) in a ternary plot. The curved line are the Hardy–Weinberg equilibria.
Genotype_frequency
Government of Canada from 2025
Ternary plot of 2025 Canadian federal election results by riding, each identified by party colours
Premiership_of_Mark_Carney
Principle in genetics
using a de Finetti diagram. This uses a triangular plot (also known as trilinear, triaxial or ternary plot) to represent the distribution of the three genotype
Hardy–Weinberg_principle
Solvent interface of a solute
Molality Mole fraction Mass fraction Isotopic abundance Mixing ratio Ternary plot Total dissolved solids Solubility Solubility equilibrium Solvation Solvation
Solvation_shell
Canadian provincial election
held in conjunction with the 2009 British Columbia general election. Ternary plots – shift of electoral support (2001–2005) 2001 2005 Electoral districts
2005 British Columbia general election
2005_British_Columbia_general_election
Visual analogy for political or ideological positions
Chart or the Political Compass—this model is typically represented as a ternary plot or "Triangle Political Map." This visualization implies a zero-sum relationship
Political_spectrum
Canadian provincial election
Radio One had a debate of the three leaders on April 21 at 7:30 a.m. Ternary plots – shift of electoral support (2005–2009) 2005 2009 Electoral districts
2009 British Columbia general election
2009_British_Columbia_general_election
Ternary plots of benchmark election results 1930 1958 1980 1984 1988 2015 Electoral districts identified by colours of winning parties Ternary plots of
2025 Canadian federal election
2025_Canadian_federal_election
A triangle showing varying degrees of ionic, metallic and covalent bonding
electronegativity difference. Covalent bonding Ionic bonding Metallic bonding Atomic orbitals Hund's rules Ternary plot Van Arkel–Ketelaar Triangles of Bonding
Van_Arkel–Ketelaar_triangle
Arrangement of trinomial coefficients
Layers of Pascal's pyramid derived from coefficients of an upside-down ternary plot of the terms in the expansions of the powers of a trinomial
Pascal's_pyramid
Canadian provincial election
list of political parties who ran candidates in the 2013 election: Ternary plots – shift of electoral support (2009–2013) 2009 2013 Electoral districts
2013 British Columbia general election
2013_British_Columbia_general_election
Canadian provincial election
Suzuki[citation needed] Liberal Party Globe and Mail Vancouver Sun Ternary plots – shift of electoral support (2013–2017) 2013 2017 Electoral districts
2017 British Columbia general election
2017_British_Columbia_general_election
Formula in mathematics
Layers of Pascal's pyramid derived from coefficients in an upside-down ternary plot of the terms in the expansions of the powers of a trinomial – the number
Trinomial_expansion
Coordinate system that is defined by points instead of vectors
meaningful coordinates. Barycentric coordinates are also used in geophysics. Ternary plot Convex combination Water pouring puzzle Homogeneous coordinates Barycentric
Barycentric_coordinate_system
Polynomial that has three terms
Layers of Pascal's pyramid derived from coefficients in an upside-down ternary plot of the terms in the expansions of the powers of a trinomial
Trinomial
Stewart's theorem Steiner point Symmedian Tangential triangle Tarry point Ternary plot Thales' theorem Thomson cubic Triangle center Triangle conic Triangle
List_of_triangle_topics
Study of magnetic properties of minerals
iron and titanium. Their compositions are conveniently represented on a ternary plot with axes corresponding to the proportions of Ti4+, Fe2+, and Fe3+. Important
Magnetic_mineralogy
Canadian provincial election
Previously an MP in the House of Commons of Canada = Multiple candidates Ternary plots of election results 2020: electoral districts won identified by NDP
2024 British Columbia general election
2024_British_Columbia_general_election
Difficult choice from three options
protocols, are both examples of other trilemmas in technology. Dilemma Ternary plot Trichotomy (philosophy) Inconsistent triad Condorcet paradox Tetralemma
Trilemma
Canadian provincial election
above, 24 individuals ran as independent candidates across 22 ridings. Ternary plots – shift of electoral support (2017–2020) 2017 2020 Electoral districts
2020 British Columbia general election
2020_British_Columbia_general_election
Plotting software
array of graphs. Widgets include X-Y plots, functions, contours, box plots, polar plots, ternary plots, vector plots, data images, labels and a variety
Veusz
change from previous election. x − less than 0.005% of the popular vote. Ternary plots - shift of electoral support (1974-1979) 1974 1979 Electoral districts
1979 Canadian federal election
1979_Canadian_federal_election
Provincial election
safe seat of Tuxedo, surviving by less than three percentage points. Ternary plots of election results 2019 2023 Electoral districts won identified by
2023 Manitoba general election
2023_Manitoba_general_election
Grid of nine squares
biased towards larger-caps, while being balanced across the columns. Ternary plot, which is used to display allocations across economic sectors. Goodman
Morningstar_Style_Box
of MPs elected in the 1993 election, see 35th Canadian parliament. Ternary plots - shift of electoral support (1988-1993) 1988 1993 Electoral districts
1993 Canadian federal election
1993_Canadian_federal_election
Genetic diversity in human populations
Ternary plot showing average admixture of five North American ethnic groups. Individuals that self-identify with each group can be found at many locations
Human_genetic_variation
Topics referred to by the same term
barycentric coordinates for a triangle, in which case it is known as a ternary plot or areal coordinates, among other names Trilinear coordinates, in which
Triangular_coordinates
denoted in bold and followed by (I). Elections Canada 2021 results Ternary plots - shift of electoral support (2019-2021) 2019 2021 Electoral districts
2021 Canadian federal election
2021_Canadian_federal_election
Method for specifying point positions
Hamiltonian treatment of mechanics. Barycentric coordinate system as used for ternary plots and more generally in the analysis of triangles. Trilinear coordinates
Coordinate_system
Canadian provincial election
name of Prince Edward—Lennox to Prince Edward—Lennox—South Hastings. Ternary plots - shift of electoral support (1987-1990) 1987 1990 Electoral districts
1990_Ontario_general_election
Transport with sustainable social and environmental impacts
A ternary plot displaying the modes of transport in 794 cities.
Sustainable_transport
[citation needed] Note: "% change" refers to change from previous election Ternary plots - shift of electoral support (1972-1974) 1972 1974 Electoral districts
1974 Canadian federal election
1974_Canadian_federal_election
Provincial election in Canada
renominated = candidate disqualified from seeking UCP nomination Ternary plots of election results 2019 2023 Electoral districts won identified by
2023_Alberta_general_election
as a registered party, its candidates were listed as independents. Ternary plots - shift of electoral support (1968-1972) 1968 1972 Electoral districts
1972 Canadian federal election
1972_Canadian_federal_election
in the previous election. x - less than 0.005% of the popular vote Ternary plots - shift of electoral support (1962-1963) 1962 1963 Electoral districts
1963 Canadian federal election
1963_Canadian_federal_election
in the previous election. x - less than 0.005% of the popular vote Ternary plots - shift of electoral support (1957-1958) 1957 1958 Electoral districts
1958 Canadian federal election
1958_Canadian_federal_election
Theorem on equilateral triangles
to the sides of an equilateral triangle give coordinates for making ternary plots, such as flammability diagrams. More generally, they allow one to give
Viviani's_theorem
election of one or more candidates in a particular electoral district. Ternary plots - shift of electoral support (2011-2015) 2011 2015 Electoral districts
2015 Canadian federal election
2015_Canadian_federal_election
Canadian election which resulted in a Liberal majority
Democrat MP Stan Hovdebo was elected in the subsequent by-election. Ternary plots - shift of electoral support (1979-1980) 1979 1980 Electoral districts
1980 Canadian federal election
1980_Canadian_federal_election
not the party standings in the House of Commons prior to dissolution. Ternary plots - shift of electoral support (1963-1965) 1963 1965 Electoral districts
1965 Canadian federal election
1965_Canadian_federal_election
A QFL diagram or QFL triangle is a type of ternary diagram that shows compositional data from sandstones and modern sands, point counted using the Gazzi-Dickinson
QFL_diagram
Labor-Progressive Party, Nielsen openly joined the party and became an LPP MP. Ternary plots - shift of electoral support (1935-1940) 1935 1940 Electoral districts
1940 Canadian federal election
1940_Canadian_federal_election
compared to Labor-Progressive Party results from previous election. Ternary plots - shift of electoral support (1958-1962) 1958 1962 Electoral districts
1962 Canadian federal election
1962_Canadian_federal_election
in the previous election. x - less than 0.005% of the popular vote Ternary plots - shift of electoral support (1930-1935) 1930 1935 Electoral districts
1935 Canadian federal election
1935_Canadian_federal_election
Canadian provincial election
according to the Gallagher Index, significantly in favour of the PCs. Ternary plots - shift of electoral support (2014-2018) 2014 2018 Electoral districts
2018_Ontario_general_election
by Elections Canada on April 13, 2011. The voter turnout was 61.1%. Ternary plots - shift of electoral support (2008-2011) 2008 2011 Electoral districts
2011 Canadian federal election
2011_Canadian_federal_election
Opposition. Note: "% change" refers to change from previous election Ternary plots - shift of electoral support (1984-1988) 1984 1988 Electoral districts
1988 Canadian federal election
1988_Canadian_federal_election
Coordinate system based on distances from a triangle's sidelines
giving examples of numerous points expressed in trilinear coordinates Ternary plot Viviani's theorem William Allen Whitworth (1866) Trilinear Coordinates
Trilinear_coordinates
Canadian provincial election
Previously an MP in the House of Commons of Canada = Multiple candidates Ternary plots of election results 2016 2020 Electoral districts won identified by
2020 Saskatchewan general election
2020_Saskatchewan_general_election
Forestry techniques
needed] Ternary Tree Shape Plots. A methodology for plotting different tree shapes graphically was developed by Frank using ternary plot diagrams. Ternary plots
Tree_measurement
Note: * The party did not nominate candidates in the previous election. Ternary plots - shift of electoral support (1926-1930) 1926 1930 Electoral districts
1930 Canadian federal election
1930_Canadian_federal_election
Canadian provincial election
Previously an MP in the House of Commons of Canada = Multiple candidates Ternary plots of election results 2020 2024 Electoral districts won identified by
2024 Saskatchewan general election
2024_Saskatchewan_general_election
Contested election in riding of Terrebonne
the conclusion of the judicial recount, with the following results. Ternary plots - poll-by-poll analysis of Terrebonne results 2021 2025 Polls won identified
Terrebonne in the 2025 Canadian federal election
Terrebonne_in_the_2025_Canadian_federal_election
the popular vote 1 The Liberal-Labour MP sat with the Liberal caucus. Ternary plots - shift of electoral support (1949-1953) 1949 1953 Electoral districts
1953 Canadian federal election
1953_Canadian_federal_election
Prime Minister of Canada from 1963 to 1968
able to stay in office with the support of the New Democratic Party. Ternary plots of election results during Pearson's premiership 1963 1965 Electoral
Lester_B._Pearson
applicable - the party was not recognized in the previous election Ternary plots - shift of electoral support (1921-1925) 1921 1925 Electoral districts
1925 Canadian federal election
1925_Canadian_federal_election
member of one of the provincial legislatures = Multiple candidates Ternary plots - shift of electoral support (1997-2000) 1997 2000 Electoral districts
2000 Canadian federal election
2000_Canadian_federal_election
changed allegiance immediately after election = Multiple candidates Ternary plots - shift of electoral support (2004-2006) 2004 2006 Electoral districts
2006 Canadian federal election
2006_Canadian_federal_election
recognized in the previous election x - less than 0.005% of the popular vote Ternary plots - shift of electoral support (1925-1926) 1925 1926 Electoral districts
1926 Canadian federal election
1926_Canadian_federal_election
Artefact of ancient iron production
melting temperature of slag can be determined by plotting its chemical composition in a ternary plot. The viscosity of slag can be calculated through
Archaeometallurgical_slag
Difference in properties of one mole of substance in a mixture vs. an ideal solution
Solvation shell Partial molar property Excess molar quantity Salting in Ternary plot Thermodynamic activity This labelling is arbitrary. For mixtures of two
Apparent_molar_property
Canadian provincial election
Québécois and Québec solidaire). comparison is with NDP 1994 results Ternary plots - shift of electoral support (1994-1998) 1994 1998 Electoral districts
1998_Quebec_general_election
candidates in the previous election. x: Less than 0.005% of the popular vote Ternary plots - shift of electoral support (1993-1997) 1993 1997 Electoral districts
1997 Canadian federal election
1997_Canadian_federal_election
= Incumbency arose from by-election gain = Multiple candidates Ternary plots - shift of electoral support (2000-2004) 2000 2004 Electoral districts
2004 Canadian federal election
2004_Canadian_federal_election
Type of rechargeable battery
Raistrick, I.D.; Huggins, R.A. (1980). "Thermodynamic investigations of ternary lithium-transition metal-oxygen cathode materials". Materials Research
Lithium-ion_battery
in the previous election. x - less than 0.005% of the popular vote Ternary plots - shift of electoral support (1945-1949) 1945 1949 Electoral districts
1949 Canadian federal election
1949_Canadian_federal_election
Canadian provincial election
[1]. John Turmel's Abolitionist Party ran at least two candidates. Ternary plots - shift of electoral support (1990-1995) 1990 1995 Electoral districts
1995_Ontario_general_election
Canadian provincial election
Conservatives. The incumbent Liberals had been in government for 10 years. Ternary plots of election results 2025 2021 Electoral districts won identified by
2025 Newfoundland and Labrador general election
2025_Newfoundland_and_Labrador_general_election
Canadian provincial election
Results of Unity Party included in 1989 for comparative purposes. Ternary plots - shift of electoral support (1989-1994) 1989 1994 Electoral districts
1994_Quebec_general_election
Canadian provincial election
of a falling-out between Choquette and the UN leader Rodrigue Biron. Ternary plots - shift of electoral support (1973-1976) 1973 1976 Electoral districts
1976_Quebec_general_election
Canadian provincial election
four-way contests: 1970 results compared to 1966 combined RIN/RN total Ternary plots - shift of electoral support (1966-1970) 1966 1970 Electoral districts
1970_Quebec_general_election
Canadian provincial election
Previously an MP in the House of Commons of Canada = Multiple candidates Ternary plots of election results 2020 2024 Electoral districts won identified by
2024 New Brunswick general election
2024_New_Brunswick_general_election
independent or non-affiliated candidates, as the party was unregistered. Ternary plots - shift of electoral support (1980-1984) 1980 1984 Electoral districts
1984 Canadian federal election
1984_Canadian_federal_election
Canadian provincial election
L'Assomption and Terrebonne drawn from parts of Anjou, Bourget and LaFontaine Ternary plots - shift of electoral support (1985-1989) 1985 1989 Electoral districts
1989_Quebec_general_election
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