R81.40′

Statistics

genus c	81, orientable
Schläfli formula c	{30,5}
V / F / E c	120 / 20 / 300
notes
vertex, face multiplicity c	1, 5
Petrie polygons holes 2nd-order Petrie polygons	150, each with 4 edges 30, each with 20 edges 100, each with 6 edges
rotational symmetry group	600 elements.
full symmetry group	1200 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s‑5, r‑1s‑1rs2rs‑1r‑1, sr‑1s‑2r3s‑2r‑1sr‑3  >
C&D number c	R81.40′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R81.40.

Its Petrie dual is R16.2.

Its 2-hole derivative is R76.8′.

List of regular maps in orientable genus 81.

Other Regular Maps

General Index

Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720