genus ^{c} | 5, orientable |
Schläfli formula ^{c} | {5,4} |
V / F / E ^{c} | 40 / 32 / 80 |
notes | |
vertex, face multiplicity ^{c} | 1, 1 |
16, each with 10 edges | |
rotational symmetry group | 160 elements. |
full symmetry group | 320 elements. |
its presentation ^{c} | < r, s, t | t^{2}, s^{4}, (sr)^{2}, (st)^{2}, (rt)^{2}, r^{‑5}, (sr^{‑1})^{4} > |
C&D number ^{c} | R5.3′ |
The statistics marked ^{c} are from the published work of Professor Marston Conder. |
It is a 2-fold cover of
It can be 2-split to give
It can be 3-split to give
List of regular maps in orientable genus 5.
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 2:30 seconds from the start. It is shown as a "wireframe diagram", on 2-fold 4-cycle. The wireframe is arranged as the skeleton of
Orientable | |
Non-orientable |