S6:{9,9}

Statistics

genus c6, orientable
Schläfli formula c{9,9}
V / F / E c 4 / 4 / 18
notesreplete is not a polyhedral map
vertex, face multiplicity c3, 3
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
9 Hamiltonian, each with 4 edges
4, each with 9 edges
9 Hamiltonian, each with 4 edges
6 double, each with 6 edges
18, each with 2 edges
4, each with 9 edges
9 Hamiltonian, each with 4 edges
rotational symmetry group36 elements.
full symmetry group72 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, sr3s2, r‑9  >
C&D number cR6.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is C7:{4,9}.

It can be 2-split to give R13.14′.

It can be rectified to give S6:{4,9}.

List of regular maps in orientable genus 6.

Underlying Graph

Its skeleton is 3 . K4.

Other Regular Maps

General Index

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