R18.12

Statistics

genus c	18, orientable
Schläfli formula c	{37,74}
V / F / E c	1 / 2 / 37
notes
vertex, face multiplicity c	74, 37
Petrie polygons	37, each with 2 edges
rotational symmetry group	74 elements.
full symmetry group	148 elements.
its presentation c	< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s9r‑3tr8tr‑2tr2tr‑11s  >
C&D number c	R18.12
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.12′.

It can be 2-split to give R36.29.

It is a member of series z.

List of regular maps in orientable genus 18.

Other Regular Maps

General Index