genus c1, orientable
Schläfli formula c{3,6}
V / F / E c 9 / 18 / 27
notesreplete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
9, each with 6 edges
9, each with 6 edges
9, each with 6 edges
18, each with 3 edges
antipodal sets9 of ( v, h2 )
rotational symmetry group(C3×C3)⋊C6, with 54 elements
full symmetry group108 elements.
C&D number cR1.t3-3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {6,3}(3,3).

Its Petrie dual is C11:{6,6}.

It can be 3-fold covered to give {3,6}(0,6).
It is a 3-fold cover of {3,6}(0,2).

It can be 2-split to give R10.15′.

It can be rectified to give rectification of {6,3}(3,3).

It can be truncated to give {6,3}(0,6).

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is K3,3,3.

Other Regular Maps

General Index

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