genus c1, orientable
Schläfli formula c{6,3}
V / F / E c 6 / 3 / 9
notesreplete is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 3
Petrie polygons
3, each with 6 edges
rotational symmetry groupD6×C3, with 18 elements
full symmetry group36 elements.
C&D number cR1.t0-2′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is {3,6}(0,2).

It is self-Petrie dual.

It can be 3-fold covered to give {6,3}(3,3).
It is a 3-fold cover of {6,3}(1,1).

It can be rectified to give rectification of {6,3}(0,2).

It can be obtained from the 3-hosohedron by Eppstein tunnelling.

It can be obtained by truncating {3,6}(1,1).

Its half shuriken is C5:{6,6}.

It can be stellated (with path <1,-1;-1,1>) to give S4:{6,6}2,3. The density of the stellation is 4.

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is K3,3.

Other Regular Maps

General Index

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