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| genus c | 1, orientable |
| Schläfli formula c | {3,6} |
| V / F / E c | 9 / 18 / 27 |
| notes | 
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| vertex, face multiplicity c | 1, 1 |
| 9, each with 6 edges 9, each with 6 edges 9, each with 6 edges 18, each with 3 edges 9, each with 6 edges | |
| antipodal sets | 9 of ( v, h2 ) |
| rotational symmetry group | (C3×C3)⋊C6, with 54 elements |
| full symmetry group | 108 elements. |
| C&D number c | R1.t3-3 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its dual is
Its Petrie dual is
It can be 3-fold covered to give
It is a 3-fold cover of
It can be 2-split to give
It can be rectified to give
It can be truncated to give
List of regular maps in orientable genus 1.
Its skeleton is K3,3,3.
| Orientable | |
| Non-orientable |
The image on this page is copyright © 2010 N. Wedd