R46.5

Statistics

genus c	46, orientable
Schläfli formula c	{4,8}
V / F / E c	90 / 180 / 360
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons	120, each with 6 edges 144, each with 5 edges 90, each with 8 edges 90, each with 8 edges 180, each with 4 edges 144, each with 5 edges 72, each with 10 edges
rotational symmetry group	A6 . C2, with 720 elements
full symmetry group	1440 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s8, (s‑1r)5, s‑1r‑1srs‑1r2s‑1rsr‑1s‑1, s‑2rs‑2r‑1sr‑1s‑2rs‑2r  >
C&D number c	R46.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R46.5′.

Its Petrie dual is N152.1.

Its 3-hole derivative is R91.36.

List of regular maps in orientable genus 46.

Other Regular Maps

General Index