Why 3D Fragmentation Usually Leads to Cuboids: A Simple Geometric Explanation

Authors

Laxman Bokati, The University of Texas at El PasoFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

8-2020

Comments

Technical Report: UTEP-CS-20-89

Published in International Mathematical Forum, 2020, Vol. 15, No. 6, pp. 277-281.

Abstract

It has been empirically observed that the average shape of natural fragmentation results -- such as natural rock fragments -- is a distorted cube (known as cuboid). Recently, a complex explanation was provides for this empirical fact. In this paper, we propose a simple geometry-based physical explanation for the ubiquity of cuboid fragments.