the small square below it for a better version
|
|
|
|
| If an image above lacks colour or lines, click the small square below it for a better version |
| genus c | 1, orientable |
| Schläfli formula c | {4,4} |
| V / F / E c | 5 / 5 / 10 |
| notes | 
|
| 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 | C5⋊C4, 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
Other regular maps in the same manifold.
If we ignore its faces and regard it as a graph, it is isomorphic to K5.
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