R8.1

Statistics

genus c8, orientable
Schläfli formula c{3,8}
V / F / E c 42 / 112 / 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
42, each with 8 edges
24, each with 14 edges
84, each with 4 edges
56, each with 6 edges
56, each with 6 edges
56, each with 6 edges
rotational symmetry groupPSL(3,2) ⋊ C2, with 336 elements
full symmetry group672 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s8, (rs‑2)4  >
C&D number cR8.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R8.1′.

It can be 2-split to give R71.5.

List of regular maps in orientable genus 8.


Other Regular Maps

General Index