In this type of ternary graph, 3D scatterplot data are represented through the use of an X-Y-Z plane (defined via a triangular coordinate system) positioned at a user-selectable level of the vertical V-axis (which "sticks up" through the middle of the plane) and categorized by each level of the grouping variable (or user-defined subset of data). One component graph is produced for each level of the grouping variable (or user-defined subset of data) and all the component graphs are arranged in one display to allow for comparisons between the subsets of data (categories).

The level of the X-Y-Z plane can be adjusted in order to divide the X-Y-Z-V space into meaningful parts (e.g., featuring different patterns of the relation between the three variables).

For more information about ternary representation of data, see Ternary Plots. See also, Categorized Ternary Graphs and Graphs - Categorized Ternary Plots.