Analysis of three-dimensional grids: The four-point cube

Methods for analyzing the four-point cube are not commonly encountered. This paper illustrates the estimation of quadratic-term coefficients on four monotonic data in prismatic array. The analysis depends on the sequential application of interpolating equations for the four-point diamond and eight-point prismatic arrays. The estimates are often within an order-of-magnitude of the true values if the data do not suggest steep or rapidly changing gradients. The method is not strictly limited by the requirement that the data form a monotonic sequence.