R18.1′

Statistics

genus c	18, orientable
Schläfli formula c	{21,4}
V / F / E c	42 / 8 / 84
notes
vertex, face multiplicity c	1, 7
Petrie polygons	4, each with 42 edges
rotational symmetry group	168 elements.
full symmetry group	336 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2)2, r‑21  >
C&D number c	R18.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.1.

Its Petrie dual is N40.2′.

It can be 2-split to give R39.1′.
It can be 4-split to give R81.31′.
It can be built by 7-splitting the octahedron.

List of regular maps in orientable genus 18.

Other Regular Maps

General Index