C5:{4,5}

Statistics

genus c5, non-orientable
Schläfli formula c{4,5}
V / F / E c 12 / 15 / 30
notesreplete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
10, each with 6 edges
10, each with 6 edges
15, each with 4 edges
antipodal sets6 of ( 2v ), 5 of ( 3f, 3p2 ), 15 of ( 2e ), 10 of ( p, h )
rotational symmetry groupS5, with 120 elements
full symmetry groupS5, with 120 elements
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑5, s‑1rs‑1r2sr‑1t >
C&D number cN5.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C5:{5,4}.

Its Petrie dual is N10.6′.

It can be 2-fold covered to give S4:{4,5}.

It can be rectified to give rectification of C5:{5,4}.

List of regular maps in non-orientable genus 5.


Other Regular Maps

General Index

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