R9.15′

Statistics

genus c	9, orientable
Schläfli formula c	{6,5}
V / F / E c	24 / 20 / 60
notes
vertex, face multiplicity c	1, 2
Petrie polygons	12, each with 10 edges
rotational symmetry group	120 elements.
full symmetry group	240 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s‑5, (sr‑2)2  >
C&D number c	R9.15′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.15.

Its Petrie dual is R13.8′.

It can be built by 2-splitting the icosahedron.

List of regular maps in orientable genus 9.

Underlying Graph

Its skeleton is icosahedron × K_2.

Other Regular Maps

General Index