S2:{10,5}

Statistics

genus c	2, orientable
Schläfli formula c	{10,5}
V / F / E c	2 / 1 / 5
notes
vertex, face multiplicity c	5, 10
Petrie polygons holes 2nd-order Petrie polygons	5, each with 2 edges 1, each with 10 edges 5, each with 2 edges
antipodal sets	1 of ( 2v )
rotational symmetry group	C10, with 10 elements
full symmetry group	D20, with 20 elements
its presentation c	< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑5 >
C&D number c	R2.4′
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 its own 2-hole derivative.

It is a member of series α' .

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