Analysis of three-dimensional grids: Alternative polynomial equations for the nine-point prismatic array

摘要

Equations representing data in prismatic array are useful for interpreting experiments involving three independent parameters. This paper illustrates two sets of four polynomial equations for the nine-point cubical array. The equations are exact on trilinear numbers and their second and third powers. The equations are potentially useful alternatives to the trilinear equation when they do not generate complex-number coefficients.