Lattice nets have one vertex in the topological unit cell. Some two- and three-periodic lattice nets with one kind of edge (edge-transitive) are described. Simple expressions for the topological density of the two-periodic nets are found empirically. Thirteen infinite families of three-periodic cubic lattice nets and hexagonal, trigonal and tetragonal families are identified
We analyse two-component “weavings” made of a pair of dual (p,q) and (q,p) nets that undulate on bo...
Abstract. A graph is called cubic and tetravalent if all of its vertices have valency 3 and 4, respe...
AbstractA cubic lattice graph may be defined as a graph G, whose vertices can be identified with ord...
An account is given of various classifications of three-periodic nets. It is convenient to classify ...
Rules for determining a unique natural tiling that carries a given three-periodic net as its 1-skele...
AbstractLaskar introduced 3-nets as a 3 dimensional analogue to Bruck's notion of net. Affine 3-spac...
A graph in said to be a general (g,h) not if and only if (1) it has girth g and (2) it contains a co...
Periodic structures – e. g. crystal structures – are analyzed by means of group theory. The concept...
AbstractLet p be a prime. It was shown by Folkman (J. Combin. Theory 3 (1967) 215) that a regular ed...
High-symmetry free tilings of the two-dimensional hyperbolic plane (H 2) can be projected to genus-3...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/115982/1/S0108767303017100.pd
We enumerate the regular and chiral polyhedra (in the sense of Grünbaum’s skeletal approach) whose v...
Cao and Yuan obtained a Blichfeldt-type result for the vertex set of the edge-to-edge tiling of the ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/116005/1/S0108767304015442.pd
-Many networks have been found the total edge irregularity strength???s. In this paper, we found tha...
We analyse two-component “weavings” made of a pair of dual (p,q) and (q,p) nets that undulate on bo...
Abstract. A graph is called cubic and tetravalent if all of its vertices have valency 3 and 4, respe...
AbstractA cubic lattice graph may be defined as a graph G, whose vertices can be identified with ord...
An account is given of various classifications of three-periodic nets. It is convenient to classify ...
Rules for determining a unique natural tiling that carries a given three-periodic net as its 1-skele...
AbstractLaskar introduced 3-nets as a 3 dimensional analogue to Bruck's notion of net. Affine 3-spac...
A graph in said to be a general (g,h) not if and only if (1) it has girth g and (2) it contains a co...
Periodic structures – e. g. crystal structures – are analyzed by means of group theory. The concept...
AbstractLet p be a prime. It was shown by Folkman (J. Combin. Theory 3 (1967) 215) that a regular ed...
High-symmetry free tilings of the two-dimensional hyperbolic plane (H 2) can be projected to genus-3...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/115982/1/S0108767303017100.pd
We enumerate the regular and chiral polyhedra (in the sense of Grünbaum’s skeletal approach) whose v...
Cao and Yuan obtained a Blichfeldt-type result for the vertex set of the edge-to-edge tiling of the ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/116005/1/S0108767304015442.pd
-Many networks have been found the total edge irregularity strength???s. In this paper, we found tha...
We analyse two-component “weavings” made of a pair of dual (p,q) and (q,p) nets that undulate on bo...
Abstract. A graph is called cubic and tetravalent if all of its vertices have valency 3 and 4, respe...
AbstractA cubic lattice graph may be defined as a graph G, whose vertices can be identified with ord...