2006/11/30 by P. L. Krapivsky, S. Redner
Computer Science · Engineering · Physics and Astronomy · #3D Shape Modeling and Analysis #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.75.031119
published as Phs. Rev. E 75, 031119 (2007) · 7 pages, 10 figures, 2-column revtex4 format; version 2: final published form in PRE; contains minor changes in response to referee comments
openalex publication_date 2007/03/28 · arxiv created 2008/04/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate an idealized model for the size reduction and smoothing of a polygonal rock due to repeated chipping at corners. Each chip is sufficiently small so that only a single corner and a fraction of its two adjacent sides are cut from the object in a single chipping event. After many chips have been cut away, the resulting shape of the rock is generally anisotropic, with facet lengths and corner angles distributed over a broad range. Although a well-defined shape is quickly reached for each realization, there are large fluctuations between realizations.