R12.1′

Statistics

genus c	12, orientable
Schläfli formula c	{15,4}
V / F / E c	30 / 8 / 60
notes
vertex, face multiplicity c	1, 5
Petrie polygons	4, each with 30 edges
rotational symmetry group	120 elements.
full symmetry group	240 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2)2, r‑15  >
C&D number c	R12.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R12.1.

Its Petrie dual is N28.1′.

It can be 2-split to give R27.1′.
It can be 4-split to give R57.9′.
It can be built by 5-splitting the octahedron.

It is the result of rectifying R12.8.

List of regular maps in orientable genus 12.

Other Regular Maps

General Index