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genus c | 2, orientable |
Schläfli formula c | {4,8} |
V / F / E c | 2 / 4 / 8 |
notes | |
vertex, face multiplicity c | 8, 2 |
2, each with 8 edges 8, each with 2 edges 4, each with 4 edges 4, each with 4 edges 2, each with 8 edges 8, each with 2 edges 8, each with 2 edges | |
antipodal sets | 1 of ( 2v ), 2 of ( 2f ), 4 of ( 2e ) |
rotational symmetry group | quasidihedral(16), with 16 elements |
full symmetry group | 32 elements. |
its presentation c | < r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s‑2r2s‑2 > |
C&D number c | R2.3 |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
It can be 2-fold covered to give
It can be 2-fold covered to give
It can be rectified to give
It is its own 3-hole derivative.
It can be derived by stellation (with path <1,-1>) from
It is a member of series h.
List of regular maps in orientable genus 2.
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× | mo01:50,w09:11 |
Its skeleton is 8 . K2.
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 0:55 seconds from the start. It is shown as a "wireframe diagram", on 2-fold 1-cycle. The wireframe is arranged as the skeleton of
Orientable | |
Non-orientable |
The images on this page are copyright © 2010 N. Wedd