R8.8′

Statistics

genus c8, orientable
Schläfli formula c{20,10}
V / F / E c 4 / 2 / 20
notesis not a polyhedral map
vertex, face multiplicity c5, 20
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
10, each with 4 edges
4, each with 10 edges
20, each with 2 edges
2, each with 20 edges
10, each with 4 edges
4, each with 10 edges
20, each with 2 edges
rotational symmetry group40 elements.
full symmetry group80 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑1sr2, s10  >
C&D number cR8.8′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R8.8.

Its Petrie dual is S4:{4,10}.

It can be 3-split to give R24.8′.
It can be 7-split to give R56.15′.
It can be 9-split to give R72.7′.
It can be 11-split to give R88.8′.

It is its own 3-hole derivative.

It is a member of series ζ°.

List of regular maps in orientable genus 8.


Other Regular Maps

General Index