SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS IN THREE AND FOUR DIMENSIONS-Reference-Cited by-同舟云学术

SELF-SIMILAR SPACE-FILLING SPHERE PACKINGS IN THREE AND FOUR DIMENSIONS

Published:2018-06 Issue:03 Volume:26 Page:1850022
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

STÄGER D. V.¹,HERRMANN H. J.¹²

Affiliation:

1. Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland

2. Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil

Abstract

Inversive geometry can be used to generate exactly self-similar space-filling sphere packings. We present a construction in two dimensions and generalize this construction to search for packings in higher dimensions. We discover 29 new three-dimensional topologies of which 10 are bearings, and 13 new four-dimensional topologies of which five are bearings. To characterize the packing topologies, we estimate numerically their fractal dimensions and we analyze their contact networks.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X18500226

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