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| genus c | 1, orientable |
| Schläfli formula c | {4,4} |
| V / F / E c | 5 / 5 / 10 |
| notes | 
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| vertex, face multiplicity c | 1, 1 |
| 2, each with 10 edges 4, each with 5 edges | |
| antipodal sets | 5 of ( v, f ), 5 of ( 2e ) |
| rotational symmetry group | Frob(20), with 20 elements |
| full symmetry group | Frob(20), with 20 elements |
| C&D number c | C1.s2-1 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be 2-fold covered to give
It can be rectified to give
List of regular maps in orientable genus 1.
Its skeleton is K5.
Its graph is the the same as that of the 4-simplex.
When I was in Amiens cathedral and saw the staircase pictured to the right, I was reminded of this regular map. Though now that I see them together, there is little resemblance.
| Frob(20) |
| Orientable | |
| Non-orientable |
The images on this page are copyright © 2010 N. Wedd