S2:{10,5}

Statistics

genus c2, orientable
Schläfli formula c{10,5}
V / F / E c 2 / 1 / 5
notestrivial Faces share vertices with themselves Faces share edges with themselves is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c5, 10
Petrie polygons
holes
2nd-order Petrie polygons
5, each with 2 edges
1 Eulerian, with 10 edges
5, each with 2 edges
antipodal sets1 of ( 2v )
rotational symmetry groupC10, with 10 elements
full symmetry groupD20, with 20 elements
its presentation c< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑5 >
C&D number cR2.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S2:{5,10}.

Its Petrie dual is the 5-hosohedron.

It can be rectified to give rectification of S2:{10,5}.

It is a member of series i.

List of regular maps in orientable genus 2.

Underlying Graph

Its skeleton is 5 . K2.

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd