R5.12

Statistics

genus c5, orientable
Schläfli formula c{8,8}
V / F / E c 4 / 4 / 16
notesreplete is not a polyhedral map
vertex, face multiplicity c4, 4
Petrie polygons
8, each with 4 edges
rotational symmetry group32 elements.
full symmetry group64 elements.
its presentation c< r, s, t | t2, (rs)2, (rs‑1)2, (rt)2, (st)2, r8, s‑1r4s‑3  >
C&D number cR5.12
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is S3:{4,8|4}.

List of regular maps in orientable genus 5.

Wireframe constructions

w  {8,8}  2/4 | 2/4 | 2 × {4,4}(2,0) (may really be R5.13)
w  {8,8}  2/4 | 2/4 | 2 × S2:{8,4} (may really be R5.13)

Underlying Graph

Its skeleton is 4 . 4-cycle.

Other Regular Maps

General Index