S6:{4,9}

Statistics

genus c6, orientable
Schläfli formula c{4,9}
V / F / E c 8 / 18 / 36
notesreplete is not a polyhedral map
vertex, face multiplicity c3, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
4, each with 18 edges
18, each with 4 edges
4, each with 18 edges
36, each with 2 edges
12 double, each with 6 edges
18, each with 4 edges
4, each with 18 edges
rotational symmetry group72 elements.
full symmetry group144 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑2)2, s‑9  >
C&D number cR6.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{9,4}.

It is a 2-fold cover of C7:{4,9}.

It is the result of rectifying S6:{9,9}.

List of regular maps in orientable genus 6.

Underlying Graph

Its skeleton is 3 . cubic graph.

Other Regular Maps

General Index

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