R24.5

Statistics

genus c	24, orientable
Schläfli formula c	{8,18}
V / F / E c	8 / 18 / 72
notes
vertex, face multiplicity c	6, 2
Petrie polygons	4, each with 36 edges
rotational symmetry group	144 elements.
full symmetry group	288 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, (rs‑2)2, r8, (rs‑1r2)2, s‑4r4s‑5  >
C&D number c	R24.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R24.5′.

Its Petrie dual is R31.16′.

It can be 3-split to give R88.14′.

List of regular maps in orientable genus 24.

Underlying Graph

Its skeleton is 6 . cubic graph.

Other Regular Maps

General Index