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
Many crystalline networks can be viewed as decorations of triply periodic minimal surfaces. Such sur...
We analyse two-component “weavings” made of a pair of dual (p,q) and (q,p) nets that undulate on bo...
This paper presents an algorithm which allows to derive classification methods concerning periodic t...
Rules for determining a unique natural tiling that carries a given three-periodic net as its 1-skele...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/115935/1/S0108767302018494.pd
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/115982/1/S0108767303017100.pd
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/116005/1/S0108767304015442.pd
An account is given of various classifications of three-periodic nets. It is convenient to classify ...
We review the various kinds of symbols used to characterize the topology of vertices in 3-periodic n...
Periodic structures – e. g. crystal structures – are analyzed by means of group theory. The concept...
The 3-periodic nets of genus 3 ('minimal nets') are reviewed and their symmetries re-examined. Altho...
This work considers non-crystallographic periodic nets obtained from multiple identical copies of an...
Entangled embedded periodic nets and crystal frameworks are defined, along with their {dimension typ...
Dress A, Huson DH, Molnar E. The classification of face‐transitive periodic three‐dimensional tiling...
The concept of natural tiling is applied to find primitive cages in all 194 types of the zeolite fra...
Many crystalline networks can be viewed as decorations of triply periodic minimal surfaces. Such sur...
We analyse two-component “weavings” made of a pair of dual (p,q) and (q,p) nets that undulate on bo...
This paper presents an algorithm which allows to derive classification methods concerning periodic t...
Rules for determining a unique natural tiling that carries a given three-periodic net as its 1-skele...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/115935/1/S0108767302018494.pd
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/115982/1/S0108767303017100.pd
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/116005/1/S0108767304015442.pd
An account is given of various classifications of three-periodic nets. It is convenient to classify ...
We review the various kinds of symbols used to characterize the topology of vertices in 3-periodic n...
Periodic structures – e. g. crystal structures – are analyzed by means of group theory. The concept...
The 3-periodic nets of genus 3 ('minimal nets') are reviewed and their symmetries re-examined. Altho...
This work considers non-crystallographic periodic nets obtained from multiple identical copies of an...
Entangled embedded periodic nets and crystal frameworks are defined, along with their {dimension typ...
Dress A, Huson DH, Molnar E. The classification of face‐transitive periodic three‐dimensional tiling...
The concept of natural tiling is applied to find primitive cages in all 194 types of the zeolite fra...
Many crystalline networks can be viewed as decorations of triply periodic minimal surfaces. Such sur...
We analyse two-component “weavings” made of a pair of dual (p,q) and (q,p) nets that undulate on bo...
This paper presents an algorithm which allows to derive classification methods concerning periodic t...