Construction of a ${\mit \Phi}$-function for two convex polytopes
Volume 29 / 2002
Applicationes Mathematicae 29 (2002), 199-218
MSC: 90B06, 90C11, 90C26.
DOI: 10.4064/am29-2-6
Abstract
The analytical description of ${\mit \Phi } $-functions for two convex polytopes is investigated. These ${\mit \Phi } $-functions can be used for mathematical modelling of packing problems in the three-dimensional space. Only translations of the polytopes are considered. The approach consists of two stages. First the 0-level surface of a ${\mit \Phi } $-function is constructed, and secondly, the surface is extended to get the ${\mit \Phi } $-function. The method for constructing the 0-level surface is described in detail.
