genus ^{c} | 5, orientable |
Schläfli formula ^{c} | {3,8} |
V / F / E ^{c} | 24 / 64 / 96 |
notes | |
vertex, face multiplicity ^{c} | 1, 1 |
16, each with 12 edges | |
rotational symmetry group | 192 elements. |
full symmetry group | 384 elements. |
its presentation ^{c} | < r, s, t | t^{2}, r^{‑3}, (rs)^{2}, (rt)^{2}, (st)^{2}, s^{8}, s^{2}rs^{‑2}r^{‑1}sr^{‑1}s^{‑1}rs^{‑2}rs^{2} > |
C&D number ^{c} | R5.1 |
The statistics marked ^{c} are from the published work of Professor Marston Conder. |
Its Petrie dual is
It is a 2-fold cover of
It can be 2-split to give
List of regular maps in orientable genus 5.
Its graph is the same as that of the 24-cell.
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 2:0 seconds from the start. It is shown as a "wireframe diagram", on cube. The wireframe is arranged as the skeleton of
Orientable | |
Non-orientable |