R43.15

Statistics

genus c43, orientable
Schläfli formula c{8,8}
V / F / E c 42 / 42 / 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
42, each with 8 edges
112, each with 3 edges
56, each with 6 edges
56, each with 6 edges
56, each with 6 edges
84, each with 4 edges
84, each with 4 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, (s‑1r)3, r8, s8, (rs‑2r2)2  >
C&D number cR43.15
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its 3-hole derivative is R36.10.

List of regular maps in orientable genus 43.


Other Regular Maps

General Index