C10.3

Statistics

genus c10, orientable
Schläfli formula c{8,8}
V / F / E c 9 / 9 / 36
notessingular replete Chiral is not a polyhedral map
vertex, face multiplicity c1, 1
Petrie polygons
12, each with 6 edges
rotational symmetry group(C3×C3)⋊C8, with 72 elements
full symmetry group(C3×C3)⋊C8, with 72 elements
its presentation c< r, s | (rs)2, r8, rs‑1 r3 s‑3, r‑1 sr3 s‑1 rs‑1 >
C&D number cC10.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

List of regular maps in orientable genus 10.

Wireframe constructions

m  {8,8}  2/4 | 2/4 | 2 × {4,4}(3,0) unconfirmed
x  {8,8}  2/4 | 2/4 | 2 × {4,4}(3,0) unconfirmed

Underlying Graph

Its skeleton is K9.

Other Regular Maps

General Index