genus ^{c} | 5, orientable |
Schläfli formula ^{c} | {4,5} |
V / F / E ^{c} | 32 / 40 / 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}, r^{4}, (rs)^{2}, (rt)^{2}, (st)^{2}, s^{‑5}, (rs^{‑1})^{4} > |
C&D number ^{c} | R5.3 |
The statistics marked ^{c} are from the published work of Professor Marston Conder. |
Its Petrie dual is
It is a 2-fold cover of
List of regular maps in orientable genus 5.
Its skeleton is 5-cube.
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 2:20 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 |