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| genus c | 3, orientable |
| Schläfli formula c | {3,8} |
| V / F / E c | 12 / 32 / 48 |
| notes |     |
| vertex, face multiplicity c | 1, 1 |
| 16, each with 6 edges 12, each with 8 edges 12, each with 8 edges 32, each with 3 edges 16, each with 6 edges 24, each with 4 edges INF, each with 0 edges | |
| antipodal sets | 6 of ( 2v ), 16 of ( 2f ), 16 of ( 2e ), 16 of ( p, p3 ) |
| rotational symmetry group | 96 elements. |
| full symmetry group | 192 elements. |
| its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s8, (sr‑1s)3 > |
| C&D number c | R3.2 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its dual is
Its Petrie dual is
It can be 2-fold covered to give
It is a 2-fold cover of
It can be 2-split to give
It can be 5-split to give
It can be rectified to give
It can be obtained by triambulating
It is its own 3-hole derivative.
It can be stellated (with path <1,-1>) to give
It is a member of series ξ°' .
List of regular maps in orientable genus 3.
Its skeleton is K4,4,4.
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 1:30 seconds from the start. It is shown as a "wireframe diagram", on K4. The wireframe is arranged as the skeleton of
| Orientable | |
| Non-orientable |
The images on this page are copyright © 2010 N. Wedd