S5:{8,4}4

Statistics

genus c5, orientable
Schläfli formula c{8,4}
V / F / E c 16 / 8 / 32
notesreplete is not a polyhedral map
vertex, face multiplicity c1, 2
Petrie polygons
16, each with 4 edges
rotational symmetry group64 elements.
full symmetry group128 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, rsr‑1s2r‑1sr, (sr‑1)4  >
C&D number cR5.5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{4,8}4.

Its Petrie dual is {4,4}(4,0).

It can be 3-split to give R21.11′.
It can be 5-split to give R37.20′.
It can be 7-split to give R53.3′.
It can be 9-split to give R69.9′.
It can be 11-split to give R85.17′.

List of regular maps in orientable genus 5.

Wireframe construction

r  {8,4}  2 | 4/4 | 4 × {4,4}(2,0)

Other Regular Maps

General Index