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
We discuss a recently developed approach to formalize the analysis of extended architectures by succ...
Entangled embedded periodic nets and crystal frameworks are defined, along with their {dimension typ...
We review the various kinds of symbols used to characterize the topology of vertices in 3-periodic n...
Rules for determining a unique natural tiling that carries a given three-periodic net as its 1-skel...
An account is given of various classifications of three-periodic nets. It is convenient to classify ...
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
Lattice nets have one vertex in the topological unit cell. Some two- and three-periodic lattice nets...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/116005/1/S0108767304015442.pd
We analyse two-component “weavings” made of a pair of dual (p,q) and (q,p) nets that undulate on bo...
The concept of natural tiling is applied to find primitive cages in all 194 types of the zeolite fra...
Periodic structures – e. g. crystal structures – are analyzed by means of group theory. The concept...
High-symmetry free tilings of the two-dimensional hyperbolic plane (H 2) can be projected to genus-3...
Dress A, Huson DH, Molnar E. The classification of face‐transitive periodic three‐dimensional tiling...
AbstractBased on the mathematical theory of Delaney symbols, data structures and algorithms are pres...
We discuss a recently developed approach to formalize the analysis of extended architectures by succ...
Entangled embedded periodic nets and crystal frameworks are defined, along with their {dimension typ...
We review the various kinds of symbols used to characterize the topology of vertices in 3-periodic n...
Rules for determining a unique natural tiling that carries a given three-periodic net as its 1-skel...
An account is given of various classifications of three-periodic nets. It is convenient to classify ...
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
Lattice nets have one vertex in the topological unit cell. Some two- and three-periodic lattice nets...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/116005/1/S0108767304015442.pd
We analyse two-component “weavings” made of a pair of dual (p,q) and (q,p) nets that undulate on bo...
The concept of natural tiling is applied to find primitive cages in all 194 types of the zeolite fra...
Periodic structures – e. g. crystal structures – are analyzed by means of group theory. The concept...
High-symmetry free tilings of the two-dimensional hyperbolic plane (H 2) can be projected to genus-3...
Dress A, Huson DH, Molnar E. The classification of face‐transitive periodic three‐dimensional tiling...
AbstractBased on the mathematical theory of Delaney symbols, data structures and algorithms are pres...
We discuss a recently developed approach to formalize the analysis of extended architectures by succ...
Entangled embedded periodic nets and crystal frameworks are defined, along with their {dimension typ...
We review the various kinds of symbols used to characterize the topology of vertices in 3-periodic n...