Three-periodic nets and tilings: natural tilings for nets

Blatov, Vladislav A.; Delgado-Friedrichs, Olaf; O'Keefe, Michael; Proserpio, Davide M.

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.

Three-periodic nets and tilings: natural tilings for nets

Date

2007

Authors

Blatov, Vladislav A.

Delgado-Friedrichs, Olaf

O'Keefe, Michael

Proserpio, Davide M.

Publisher

Munksgaard International Publishers

Abstract

Rules for determining a unique natural tiling that carries a given three-periodic net as its 1-skeleton are presented and justified. A computer implementation of the rules and their application to tilings for zeolite nets and for the nets of the RCSR database are described.