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genus c | 4, orientable |
Schläfli formula c | {10,4} |
V / F / E c | 10 / 4 / 20 |
notes | This is not a regular map. |
vertex, face multiplicity c | 1, 5 |
10, each with 4 edges 4 Hamiltonian, each with 10 edges | |
antipodal sets | 5 of ( 2v ), 2 of ( 2f ), 5 of ( 2v, p ) |
rotational symmetry group | C5⋊C4, with 20 elements |
full symmetry group | (C5⋊C4)×C2, with 40 elements |
Its Petrie dual is
It is a 2-fold cover of
List of regular maps in orientable genus 4.
Its skeleton is K5 × K2.
Orientable | |
Non-orientable |
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