Universität zu Köln

Dostert, Maria and Vallentin, Frank ORCID: 0000-0002-3205-4607 (2020). New dense superball packings in three dimensions. Adv. Geom., 20 (4). S. 473 - 483. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1615-7168

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Abstract

We construct a new family of lattice packings for superballs in three dimensions (unit balls for the l(3)(p) norm) with p epsilon (1, 1.58]. We conjecture that the family also exists for p epsilon (1.58, log(2) 3 = 1.5849625 ...]. Like in the densest lattice packing of regular octahedra, each superball in our family of lattice packings has 14 neighbors.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Dostert, Maria UNSPECIFIED UNSPECIFIED UNSPECIFIED Vallentin, Frank UNSPECIFIED orcid.org/0000-0002-3205-4607 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-316648
DOI:	10.1515/advgeom-2020-0002
Journal or Publication Title:	Adv. Geom.
Volume:	20
Number:	4
Page Range:	S. 473 - 483
Date:	2020
Publisher:	WALTER DE GRUYTER GMBH
Place of Publication:	BERLIN
ISSN:	1615-7168
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/31664