Regular cellular reuse patterns

The author attempts to define what regular cell reuse patterns are in the case of omnidirectional hexagonal cells and shows that there are more such patterns than the ones usually presented; for instance, patterns of 5 or 11 cells are possible. An exhaustive presentation of the reuse patterns satisfying the definition is given. Some rough performance evaluations are included, giving some ideas of the C/I (carrier to interference ratio) protection with a simple propagation model. Some related problems are addressed, such as the application to frequency hopping and the problem of how to allocate frequencies in order to limit adjacent frequency interferences