Application of the triangular coordinate system for creation of plane and spatial ternary graphs

Abstract

In the process of investigation of electrical and mechanical properties of alloys, three-component systems play a very important role. Regression analysis provides a possibility to use experimental results in order to obtain the theoretical dependence of these values on the molar ratio of certain components of the mixture. As this refers to multidimensional problems, it is of great importance to present this correlation, in addition to analytical dependencies, by graphical representations. For these needs Draper and Lawrence introduced a new reference system whose base is a concentration triangle (X1, X2, X3) in which the molar ratios of components are drawn on the sides of the equilateral triangle. The paper shows the process of transformation of values from the triangular system into the Cartesian coordinate system and the executable code for presentation of plane (2D) and spatial (3D) ternary graphs in Matlab.