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| genus c | 3, orientable |
| Schläfli formula c | {8,8} |
| V / F / E c | 2 / 2 / 8 |
| notes | 
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| vertex, face multiplicity c | 8, 8 |
| 4, each with 4 edges 4, each with 4 edges 8, each with 2 edges 2, each with 8 edges 4, each with 4 edges 8, each with 2 edges 8, each with 2 edges | |
| antipodal sets | 1 of ( 2v ), 1 of ( 2f ), 4 of ( 2e ) |
| rotational symmetry group | modular(16), with 16 elements |
| full symmetry group | 32 elements. |
| its presentation c | < r, s, t | t2, s‑1r2s‑1, (rs)2, (r‑1t)2, (s‑1t)2 > |
| C&D number c | R3.10 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It is a 2-fold cover of
It can be rectified to give
It is its own 3-hole derivative.
It can be derived by stellation (with path <2,1;1,2>) from
It is a member of series kt.
List of regular maps in orientable genus 3.
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× |
Its skeleton is 8 . K2.
| Orientable | |
| Non-orientable |
The images on this page are copyright © 2010 N. Wedd