Disks with special properties of densest packings
type: Item
instance of: scholarly article
title: Disks with special properties of densest packings
zbMATH Open document ID: 0731.52004
DOI: 10.1007/BF02574684
published in: Discrete \& Computational Geometry
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/131153
review text: The author describes a method how to construct a disk D such that all its densest packings are nonperiodic. The disks used are starshaped unions of two convex sets. As an application the author considers a disk such that no periodic packing has minimal density, a disk which has precisely n densest periodic packings and a disk which locally can be packed denser than globally.
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 52A30
zbMATH DE Number: 4208965
zbMATH Keywords: nonperiodic packings
zbMATH Keywords: aperiodic tilings
zbMATH Keywords: densest packings
author: Peter H. Schmitt
MaRDI profile type: Publication
cites work: Q3763183
cites work: Q5344632
cites work: Q3735714
cites work: Q3483938
description: scientific article; zbMATH DE number 4208965