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genus c | 4, orientable |
Schläfli formula c | {16,16} |
V / F / E c | 1 / 1 / 8 |
notes | |
vertex, face multiplicity c | 16, 16 |
8, each with 2 edges 2, each with 8 edges 8, each with 2 edges 1, with 16 edges 8, each with 2 edges 1, with 16 edges 8, each with 2 edges 2, each with 8 edges 8, each with 2 edges 1, with 16 edges 8, each with 2 edges | |
rotational symmetry group | C16, with 16 elements |
full symmetry group | D32, with 32 elements |
its presentation c | < r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r7s‑1 > |
C&D number c | R4.12 |
The statistics marked c are from the published work of Professor Marston Conder. |
It is self-dual.
It can be rectified to give
It is its own 3-hole derivative.
It is its own 5-hole derivative.
It is its own 7-hole derivative.
It is a member of series s.
List of regular maps in orientable genus 4.
Its skeleton is 8 . 1-cycle.
Orientable | |
Non-orientable |
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