R10.18

Statistics

genus c10, orientable
Schläfli formula c{6,12}
V / F / E c 6 / 12 / 36
notesreplete is not a polyhedral map
vertex, face multiplicity c4, 3
Petrie polygons
6, each with 12 edges
rotational symmetry group72 elements.
full symmetry group144 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s‑1r3s‑1r, s12  >
C&D number cR10.18
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.18′.

List of regular maps in orientable genus 10.

Underlying Graph

Its skeleton is 4 . K3,3.

Other Regular Maps

General Index