Plato’s cube and the natural geometry of fragmentation

DOI10.1073/pnas.2001037117zbMath1485.74086arXiv1912.04628OpenAlexW3043748928WikidataQ97587297 ScholiaQ97587297MaRDI QIDQ5073115

Douglas J. Jerolmack, János Török, Gábor Domokos

Publication date: 5 May 2022

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04628

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) High-velocity fracture (74R15) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (4)

On the cracking patterns of brittle rings with elastic radial support under hydrostatic pressure ⋮ An evolution model for polygonal tessellations as models for crack networks and other natural patterns ⋮ A two-vertex theorem for normal tilings ⋮ Balancing polyhedra

Cites Work

• Unnamed Item
• Unnamed Item
• Study on the fragmentation of shells
• Fast parallel algorithms for short-range molecular dynamics
• Geophysical imaging reveals topographic stress control of bedrock weathering
• THE ISOPERIMETRIC QUOTIENT OF A CONVEX BODY DECREASES MONOTONICALLY UNDER THE EIKONAL ABRASION MODEL
• Stochastic and Integral Geometry

This page was built for publication: Plato’s cube and the natural geometry of fragmentation