genus c6, orientable
Schläfli formula c{6,4}
V / F / E c 30 / 20 / 60
notesreplete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
12, each with 10 edges
40, each with 3 edges
20, each with 6 edges
antipodal sets15 of ( 2v ), 10 of ( 2f, 2h2 ), 30 of ( 2e )
rotational symmetry groupS5, with 120 elements
full symmetry group240 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (r‑1s)3, r6  >
C&D number cR6.2′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{4,6}.

It is a 2-fold cover of C7:{6,4}.

List of regular maps in orientable genus 6.

Other Regular Maps

General Index

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