On each list the maps are classified according to genus and type (viz {p, q} where every face is incident with p edges and every vertex is incident with q edges) ...

Complete lists are given of all reflexible orientable regular maps of genus 2 to 15, all non-orientable regular maps of genus 4 to 30, and all (orientable) ...

In this paper we describe the determination of all regular maps of small genus, using the above background information and a program to systemati- cally ...

On each list the maps are classified according to genus and type (viz {p, q} where every face is incident with p edges and every vertex is incident with q edges) ...

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All its faces are regular and interchangeable, and all its vertices are regular and interchangeable. Its Petrie polygons all have six edges. It has mirror ...

In this article we extend the classification to surfaces with Euler characteristic (equivalently, to non-orientable surfaces of genus ) for all odd primes p.

The genus spectrum of a family of maps is the set of all integers g for which there exists a map in the family whose genus is equal to g. Problem 1: Determine ...

Oct 12, 2015 · In this paper we calculate the Petrie numbers and the lengths of the. Petrie polygons of all reflexible regular maps of genus 2 to 15.

We wish to determine whether or not there are any other regular maps of type {6, 4} and genus 3. To this end we exhibit in Figure 6 a part of the. £. FIGURE 6.