C5:{10,4}

Statistics

genus c5, non-orientable
Schläfli formula c{10,4}
V / F / E c 5 / 2 / 10
notesis not a polyhedral map
vertex, face multiplicity c1, 10
Petrie polygons
holes
5, each with 4 edges
2 double, each with 10 edges
antipodal sets5 of ( v, p1 ), 1 of ( 2f ), 1 of ( 2h )
rotational symmetry groupFrob(20), with 20 elements
full symmetry groupFrob(20), with 20 elements

Relations to other Regular Maps

Its dual is C5:{4,10}.

Its Petrie dual is {4,4}(2,1).

It can be 2-fold covered to give S4:{10,4}a.

List of regular maps in non-orientable genus 5.

Underlying Graph

Its skeleton is K5.

Comments

We see that this is not a regular map if we arbitrarily label the vertices 0,1,2,3,4 and then follow the perimeter of a face. The vertices occur in the order 0410213243, so only five of the ten rotations of a face are symmetry operations.


Other Regular Maps

General Index

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