C40.5

Statistics

genus c40, orientable
Schläfli formula c{6,12}
V / F / E c 26 / 52 / 156
notesChiral replete
vertex, face multiplicity c4, 1
Petrie polygons
6, each with 52 edges
rotational symmetry group312 elements.
full symmetry group312 elements.
its presentation c< r, s | (rs)2, r6, (rs‑2)2, s12, r‑1sr2s‑1rs‑1r‑3sr‑1s‑2  >
C&D number cC40.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C40.5′.

List of regular maps in orientable genus 40.

Underlying Graph

Its skeleton is 4 . torus-h-2-4.

Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |


Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720