R8.3

Statistics

genus c8, orientable
Schläfli formula c{4,18}
V / F / E c 4 / 18 / 36
notesreplete is not a polyhedral map
vertex, face multiplicity c9, 2
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
2, each with 36 edges
36, each with 2 edges
4, each with 18 edges
18, each with 4 edges
6, each with 12 edges
rotational symmetry group72 elements.
full symmetry group144 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s18  >
C&D number cR8.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R8.3′.

Its Petrie dual is R16.14′.

It can be 3-split to give R40.14.
It can be 5-split to give R72.10′.

It is a member of series m.

List of regular maps in orientable genus 8.

Wireframe constructions

pd  {4,18}  4/9 | 2 | 4 × the 9-hosohedron
qd  {4,18}  4/9 | 2 | 4 × the 9-hosohedron

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd