R8.10

Statistics

genus c8, orientable
Schläfli formula c{18,18}
V / F / E c 2 / 2 / 18
notestrivial Faces share vertices with themselves is not a polyhedral map
vertex, face multiplicity c18, 18
Petrie polygons
18, each with 2 edges
rotational symmetry group36 elements.
full symmetry group72 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r7tr‑11t  >
C&D number cR8.10
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It can be built by 2-splitting S4:{9,18}.

It can be rectified to give R8.3′.

It is a member of series γ.

List of regular maps in orientable genus 8.

Wireframe construction

z  {18,18}  2/9 | 2/9 | 2 × the 9-hosohedron

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd