R40.9

Statistics

genus c40, orientable
Schläfli formula c{7,8}
V / F / E c 42 / 48 / 168
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
84, each with 4 edges
42, each with 8 edges
56, each with 6 edges
112, each with 3 edges
24, each with 14 edges
42, each with 8 edges
42, each with 8 edges
rotational symmetry groupPSL(3,2) ⋊ C2, with 336 elements
full symmetry group672 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑7, s‑1r‑1sr2sr‑1s‑1, s8, (sr‑1s)3  >
C&D number cR40.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R40.9′.

Its Petrie dual is N44.1.

Its 3-hole derivative is R8.2.

List of regular maps in orientable genus 40.


Other Regular Maps

General Index