Bicontactual regular maps

In this paper, we will classify all rotary maps with the property that each face meets only one or two others. We will show that all such maps are in fact regular and that they ore closed under the action of the operators D, P, opp and H_j. We will then use this information to prove this theorem: Every non-trivial rotary map whose number of edges is a power of 2 is orientable.