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genus c | 5, non-orientable |
Schläfli formula c | {5,5} |
V / F / E c | 6 / 6 / 15 |
notes | |
vertex, face multiplicity c | 1, 1 |
10, each with 3 edges 10, each with 3 edges 6, each with 5 edges | |
antipodal sets | 6 of ( v, f, p2 ), 10 of ( p, h ) |
rotational symmetry group | A5, with 60 elements |
full symmetry group | A5, with 60 elements |
its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, (s‑1r)3, rs‑1r‑2s‑2t > |
C&D number c | N5.3 |
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 2-split to give
It can be rectified to give
It is the diagonalisation of
Its 2-hole derivative is
List of regular maps in non-orientable genus 5.
Its skeleton is K6.
Orientable | |
Non-orientable |
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