N6:{3,10}₁₀

Statistics

genus c	6, non-orientable
Schläfli formula c	{3,10}
V / F / E c	6 / 20 / 30
notes
vertex, face multiplicity c	2, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons 5th-order holes	6, each with 10 edges 6, each with 10 edges 20, each with 3 edges 12, each with 5 edges 10, each with 6 edges 30, each with 2 edges 20, each with 3 edges 30, each with 2 edges
antipodal sets	3 of ( v, p, h, h3 ), 10 of ( 2f, p2, p3, p4 ), 15 of ( 2e, 2h4, 2h5 )
rotational symmetry group	A5×C2, with 120 elements
full symmetry group	A5×C2, with 120 elements
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, rs‑2rs‑1rs‑3t  >
C&D number c	N6.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is N6:{10,3}₁₀.

Its Petrie dual is N20.4.

It can be 2-fold covered to give S5:{3,10}.

It can be rectified to give rectification of C6:{10,3}₁₀.

Its 3-hole derivative is N14.2.

List of regular maps in non-orientable genus 6.

Underlying Graph

Its skeleton is 2 . K₆.

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd