Finding the insphere of a convex polyhedron: an analytical approach

Abstract

Recursive analytical formulation for calculating the insphere in an irregular convex polyhedron has been developed. Emphasis has been placed on using coordinate geometry so that the geometric theories can be used without much modification. The results have been compared with some simple geometries for which the analytical results are well known. In all cases the results are matched with analytical results up to eight decimal places. The result for one irregular prism is also presented.

Acknowledgement

Part of the project was financially supported by Ministry of Steel, Government of India.