R21.14

Statistics

genus c	21, orientable
Schläfli formula c	{6,6}
V / F / E c	40 / 40 / 120
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	40, each with 6 edges 24, each with 10 edges 24, each with 10 edges 60, each with 4 edges 60, each with 4 edges
rotational symmetry group	C2 x S5, with 240 elements
full symmetry group	480 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (rs‑2r)2  >
C&D number c	R21.14
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It is self-Petrie dual.

It can be rectified to give R21.3′.

List of regular maps in orientable genus 21.

Other Regular Maps

General Index