R27.10

Statistics

genus c	27, orientable
Schläfli formula c	{9,36}
V / F / E c	4 / 16 / 72
notes
vertex, face multiplicity c	12, 3
Petrie polygons	18, each with 8 edges
rotational symmetry group	144 elements.
full symmetry group	288 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, sr4sr‑2, srs‑2rs3, r‑9  >
C&D number c	R27.10
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R27.10′.

Its Petrie dual is N52.6.

It can be 2-split to give R61.24.

List of regular maps in orientable genus 27.

Underlying Graph

Its skeleton is 12 . K₄.

Other Regular Maps

General Index