R10.11

Statistics

genus c10, orientable
Schläfli formula c{4,22}
V / F / E c 4 / 22 / 44
notesreplete
vertex, face multiplicity c11, 2
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
5th-order holes
5th-order Petrie polygons
6th-order holes
6th-order Petrie polygons
7th-order holes
7th-order Petrie polygons
8th-order holes
8th-order Petrie polygons
9th-order holes
9th-order Petrie polygons
10th-order holes
10th-order Petrie polygons
2, each with 44 edges
44, each with 2 edges
4, each with 22 edges
22, each with 4 edges
2, each with 44 edges
44, each with 2 edges
4, each with 22 edges
22, each with 4 edges
2, each with 44 edges
44, each with 2 edges
4, each with 22 edges
22, each with 4 edges
2, each with 44 edges
44, each with 2 edges
4, each with 22 edges
22, each with 4 edges
2, each with 44 edges
44, each with 2 edges
4, each with 22 edges
rotational symmetry group88 elements.
full symmetry group176 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s22  >
C&D number cR10.11
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.11′.

Its Petrie dual is R20.10′.

It can be 3-split to give R50.9.
It can be 5-split to give R90.9.

It is its own 3-hole derivative.
It is its own 7-hole derivative.
It is its own 9-hole derivative.
It is its own 5-hole derivative.

It is a member of series m.

List of regular maps in orientable genus 10.

Wireframe constructions

pd  {4,22}  4/11 | 2 | 4 × the 11-hosohedron
qd  {4,22}  4/11 | 2 | 4 × the 11-hosohedron

Other Regular Maps

General Index