R21.3

Statistics

genus c	21, orientable
Schläfli formula c	{4,6}
V / F / E c	80 / 120 / 240
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	24, each with 20 edges 80, each with 6 edges 120, each with 4 edges 40, each with 12 edges 40, each with 12 edges
rotational symmetry group	(C2 x C2) ⋊ S5, with 480 elements
full symmetry group	960 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, (rs‑1)6, rs‑3rs‑1rs2r‑1s‑2  >
C&D number c	R21.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R21.3′.

Its Petrie dual is R69.15′.

List of regular maps in orientable genus 21.

Other Regular Maps

General Index