genus c12, non-orientable
Schläfli formula c{6,4}
V / F / E c 30 / 20 / 60
notessingular replete
vertex, face multiplicity c1, 1
Petrie polygons
24, each with 5 edges
20, each with 6 edges
antipodal sets15 of ( 2v ), 10 of ( 2f, 2h ), 30 of ( 2e ), 12 of ( 2p )
rotational symmetry group240 elements.
full symmetry group240 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, s‑1rsr‑1s‑2r‑1sr2t  >
C&D number cN12.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C12{4,6}5.

Its Petrie dual is S4:{5,4}.

It is the full shuriken of the icosahedron.

List of regular maps in non-orientable genus 12.

Other Regular Maps

General Index

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