R18.1

Statistics

genus c	18, orientable
Schläfli formula c	{4,21}
V / F / E c	8 / 42 / 84
notes
vertex, face multiplicity c	7, 1
Petrie polygons	4, each with 42 edges
rotational symmetry group	168 elements.
full symmetry group	336 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑2)2, s‑21  >
C&D number c	R18.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.1′.

Its Petrie dual is R37.49′.

List of regular maps in orientable genus 18.

Underlying Graph

Its skeleton is 7 . cubic graph.

Other Regular Maps

General Index