C6:{5,4}

Statistics

genus c6, non-orientable
Schläfli formula c{5,4}
V / F / E c 20 / 16 / 40
notesreplete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
holes
16, each with 5 edges
20, each with 4 edges
antipodal sets10 of ( 2v ), 16 of ( 2e )
rotational symmetry group160 elements.
full symmetry group160 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r‑5, (sr‑1)4, r‑1tsr‑1s‑2r‑1srs‑1r‑1  >
C&D number cN6.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C6:{4,5}.

It is self-Petrie dual.

It can be 2-fold covered to give S5:{5,4}.

It can be 2-split to give N26.3′.

It can be rectified to give rectification of C6:{5,4}.

List of regular maps in non-orientable genus 6.


Other Regular Maps

General Index

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