C6:{3,10}10

Statistics

genus c6, non-orientable
Schläfli formula c{3,10}
V / F / E c 6 / 20 / 30
notesreplete is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c2, 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 sets3 of ( v, p, h, h3 ), 10 of ( 2f, p2, p3, p4 ), 15 of ( 2e, 2h4, 2h5 )
rotational symmetry groupA5×C2, with 120 elements
full symmetry groupA5×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 cN6.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C6:{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.

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