Uninodal 4‐connected 3D nets. I. Nets without 3‐ or 4‐rings

A description is given of 4-connected nets with one kind of vertex in which the shortest rings containing each pair of edges are N-rings (N > 4). Eleven uniform nets (66) are identified; seven of these are believed to be new. A further thirteen nets with one type of vertex and without 3- or 4-rings are described; nine of these are also believed to be new