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| genus c | 0, orientable |
| Schläfli formula c | {4,3} |
| V / F / E c | 8 / 6 / 12 |
| notes | 
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| vertex, face multiplicity c | 1, 1 |
| 4, each with 6 edges | |
| antipodal sets | 4 of ( 2v; p1 ), 3 of ( 2f ), 6 of ( 2e ) |
| rotational symmetry group | S4, with 24 elements |
| full symmetry group | S4×C2, with 48 elements |
| its presentation c | < r, s, t | r2, s2, t2, (rs)4, (st)3, (rt)2 >. |
| C&D number c | R0.2′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its dual is
Its Petrie dual is
It is a 2-fold cover of
It can be built by splitting
It can be rectified to give
It can be pyritified (type 4/3/5/3) to give
It is the result of pyritifying (type 2/3/4/3)
Its half shuriken is
Other regular maps in the same manifold.
If we ignore its faces and regard it as a graph, it is isomorphic to C4 × K2.
This is one of the five "Platonic solids".
This regular map features in the movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps.
| C4×C2 |
| D8 |
| D8 |
| C2×C2×C2 |
| S4 |
| A4×C2 |
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| S4×C2 |
| Orientable | |
| Non-orientable |
The images on this page are copyright © 2010 N. Wedd