I also tested the ternary diagram, as constructed here, extensively, and the data points plot exactly where they should be (see for instance the first three diagrams (Fig. As per Step 2, the triangle/ternary diagram has then been stretched, so it looks like an equilateral triangle again, which doesn’t affect the XY coordinate system behind it, as it is stretched with it.Ĭorrespondingly, due to the projection of A to Y (100 units), a factor of 0.86603 comes into play: tan(30°) = 0.57735 -> 0.57735 x 0.86603 = 0.5. 7).īecause A is projected to 100 units (rather than 86.60…), the triangle is elongated and the angle of 30 degrees changes to 26.56505 degrees unfortunately, Excel doesn’t plot diagrams in scale to show this. Thus, we can use the normalized A component as Y without a trigonometric function (Fig. The ternary diagram ABC is projected into a cartesian XY graph.įor an equilateral triangle with a side length of 100 units (e.g., X-axis B-C side 0-100%), the height is 86.60254 units (i.e., Y-axis A).Ī is projected onto Y with 100 units. In the case here, however, it is a different approach: Easy online Ternary Plot generator Quickly create an easily customizable and downloadable ternary diagram for free, for zero-setup creation of ternary. You are right with the tan(30°) statement for calculating the X coordinate in an equilateral triangle/ternary diagram. ternary plots can also be used to create phase diagrams by outlining the composition regions on the plot where. the advantage of using a ternary plot for depicting chemical compositions is that three variables can be conveniently plotted in a two dimensional graph. The ternary phase diagram above shows you the composition of ternary diagrams.

In this example, the raw data has already been processed into percentages, an unnecessary step when using the constructor.Thank you for your valid comment. Ternary Plot For Sample Classification Download. For example, sector employment in the UK for 18 shown in the table below can be plotted on the graph to display structural changes over time through changing plot positions. Geographers often use triangular graphs to show changes in employment structure. Hover over the plots to display the data. A menu appears above the graph offering several options, including downloading an image. Click the 'Calculate' followed by 'Create Triangular Graph' buttons and your triangular graph will open in a new window. From each 100-0% axis, lines are drawn at angles of 60 degrees to carry the values.Įnter your data sets in the calculator below. With a ternary axes object tax you can use many of the usual matplotlib axes object functions: tax.settitle(Scatter Plot.

Each axis is divided into 100, representing percentages. The three variables are converted to percentage values, totalling 100 per cent.Ī triangular graph contains three axes. This constructor enables raw data for three associated variables or components to be plotted in a two-dimensional triangular (or ternary) graph.

Ternary diagram generator