This example shows how this works for a hypothetical set of three soil samples: In Cartesian coordinates, consider an equilateral ternary plot where a=100% is placed at (x,y)=(0,0) and b=100% at (1,0).
As a proportions increases in any one sample, the point representing that sample moves from the base to the opposite point of the triangle. Each base, or side, of the triangle represents a proportion of 0%, with the point of the triangle opposite that base representing a proportion of 100%. Because the three proportions cannot vary independently, it is possible to graph the intersection of all three variables in only two dimensions.Ī ternary plot is drawn as triangle. Because "a" + "b" + "c" = "K" for all substances being graphed, any one variable is not independent of the others, so only two variables must be known to find a sample's point on the graph: for instance, "c" must be equal to "K" − "a" − "b". Usually, this constant is represented as 1.0 or 100%. In a ternary plot, the proportions of the three variables "a", "b", and "c" must sum to some constant, "K". In game theory, it is often called a "simplex plot". In population genetics, it is often called a de Finetti diagram. It is used in petrology, mineralogy, metallurgy, and other physical sciences to show the compositions of systems composed of three species. It graphically depicts the ratios of the three variables as positions in an equilateral triangle. Choose the font size (default = 4) and color.A ternary plot, ternary graph, triangle plot, simplex plot, or de Finetti diagram is a barycentric plot on three variables which sum to a constant. Vertices: These are the vertex titles.Choose the font size (default = 4.5) and color. Secondary Title: This is the title below the primary title.Choose the font size, as a percent of the project area (default = 5) and color. Primary Title: This is the main title at the top of the diagram.Font Dimensions and Colors: Click this button to access diagram size and color settings.USDA: Click here to plot the USDA soil classification system and, as above, choose the background colors and label status.Choose Color or Black-White, and whether polygons are to be labeled. Shepard: Click here to plot the Shepard's 1954 siliclastic classification system.Schlee: Click in this button to activate the Schlee's siliclastic classification system (1973 - after Shepard).Choose whether the polygons are to be labeled, as well as label type (abbreviated or long). Choose black and white (unfilled) or color-filled polygons. Folk: Click in this radio button to activate the Folk's (1954) siliclastic classification system.
Classification Overlays: Insert a check here to plot one of the available classification systems as color-filled or black and white polygons in the background, with your points, labels, and/or contours in the foreground.Choose the increments (10% or 20%) and locations (inside the triangle or outside). Tick-marks: Insert a check here to display tick-marks along the diagram border.Select the intervals at which the perimeter labels will be plotted: at 10% increments (fewer labels) or 20% (more labels). Axis Labeling: Insert a check here to include labels along the perimeter of the triangle.Choose the color for the interior of the diagram (default = white). Perimeter: Choose a line style, color, and thickness for the triangle's perimeter line.Choose from 10% (major) and 2% (minor) subdivisions (below, left) or 20% (major) and 5% (minor) subdivisions (below, right). Intervals: The ternary diagram intervals refer to the frequency (in percent) of the subdivisions.Line Styles: Click on the sample shown under the Minor Subdivisions to choose the line style, thickness, and color for these lines.Minor Subdivisions: Check this box to display the minor divider lines.Line Styles: Click on the sample shown under the Major Subdivisions to choose the line style, thickness, and color for these lines.Major Subdivisions: Check this box to display the major divider lines in the triangle plot.Subdivisions: Click this button to turn on/off the major and minor divider lines, and (if on) to select their line style, thickness, and color.The Annotations and Embellishments button in the Ternary Diagram window is used to establish some of the general appearance settings for the diagram. Ternary Diagram Options Ternary Diagram Options
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