Regular Tetrahedral Lattice Coordinate System for an Equivalent Arrangement of Bio-mathematical Models Reflecting Objects’ Shape

Abstract

Mathematical simulation is utilized to visualize the invisible phenomena, such as distribution of temperature and/or stress in a concerning object, by using properly structuralized nodes on each grid point of the orthogonal coordinate system. Here, the close-packed nodes with same effective radius are set on the vertex of regular tetrahedrons. Thus, the mathematical simulation calculating the interactions among nodes can be appropriately performed on the newly proposed coordinate system, which consists of continuous connection of regular tetrahedrons with six basic lattices. Then, the regular tetrahedron lattice coordinate system is well confirmed for the description of definite nodes having interaction with their neighboring ones.