layer sequences of tessellations
Layer sequences of hyperbolic tessellations
Layer sequence of a pentagonal tessellation
Each pentagon is regular, with geodesic sides and an angle of 90� at each vertex.
The layer sequence has the generating function
and is just the walk length sequence of the following directed and edge-weighted graph, starting from the circled vertex on the left
Layer sequence of the modular tessellation
Each triangle has a cusp at infinity and an angle of 60� at the other 2 vertices.
The layer sequence has the generating function
and is just the walk length sequence of the following directed and edge-weighted graph, starting from the circled vertex on the left
by Paolo Dominici
May 11, 2000