R27.1′

Statistics

genus c	27, orientable
Schläfli formula c	{30,4}
V / F / E c	60 / 8 / 120
notes
vertex, face multiplicity c	1, 10
Petrie polygons	8, each with 30 edges
rotational symmetry group	240 elements.
full symmetry group	480 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2)2, r30  >
C&D number c	R27.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R27.1.

It is self-Petrie dual.

It can be built by 2-splitting R12.1′.
It can be built by 5-splitting S3:{6,4}.
It can be built by 10-splitting the octahedron.

List of regular maps in orientable genus 27.

Other Regular Maps

General Index