Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Periodic entanglement I: Networks from hyperbolic reticulations

Date

Authors

Evans, Myfanwy

Robins, Vanessa

Hyde, Stephen

Publisher

Munksgaard International Publishers

Abstract

High-symmetry free tilings of the two-dimensional hyperbolic plane (H 2) can be projected to genus-3 3-periodic minimal surfaces (TPMSs). The three-dimensional patterns that arise from this construction typically consist of multiple catenated nets. This p

Keywords

Keywords: catenation; crystal nets; enumeration; frameworks; graphs; hyperbolic reticulations; ideal knots; networks; periodic entanglement; surfaces; tight knots; tilings

URI

http://hdl.handle.net/1885/72519

Collections

ANU Research Publications

Source

Acta Crystallographica Section A: Foundations of Crystallography

Type

Journal article

Access Statement

Open Access

DOI

10.1107/S0108767313001670

Downloads

File

Description

01_Evans_Periodic_entanglement_I:_2013.pdf (4.54 MB)

abcd