R27.5

Statistics

genus c	27, orientable
Schläfli formula c	{5,12}
V / F / E c	20 / 48 / 120
notes
vertex, face multiplicity c	4, 1
Petrie polygons	12, each with 20 edges
rotational symmetry group	240 elements.
full symmetry group	480 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, srs‑2rs3, s‑1rs‑2r‑2s‑2rs‑1r  >
C&D number c	R27.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R27.5′.

Its Petrie dual is N90.10′.

It can be 2-split to give R77.14.

List of regular maps in orientable genus 27.

Other Regular Maps

General Index