R71.5

Statistics

genus c71, orientable
Schläfli formula c{6,8}
V / F / E c 84 / 112 / 336
notesreplete
vertex, face multiplicity c1, 2
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
84, each with 8 edges
84, each with 8 edges
48, each with 14 edges
168, each with 4 edges
112, each with 6 edges
112, each with 6 edges
112, each with 6 edges
rotational symmetry groupC2 x (PSL(3,2) ⋊ C2), with 672 elements
full symmetry group1344 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, s8, (rs‑2)4  >
C&D number cR71.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R71.5′.

Its Petrie dual is R85.41.

It can be built by 2-splitting R8.1.

Its 3-hole derivative is R43.4.

List of regular maps in orientable genus 71.


Other Regular Maps

General Index