| 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 | t2, r‑3, (rs)2, (rt)2, (st)2, s8, s2rs‑2r‑1sr‑1s‑1rs‑2rs2 > |
| 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 |