N22.4

Statistics

genus c22, non-orientable
Schläfli formula c{6,8}
V / F / E c 12 / 16 / 48
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order Petrie polygons
32, each with 3 edges
12, each with 8 edges
12, each with 8 edges
16, each with 6 edges
32, each with 3 edges
24, each with 4 edges
rotational symmetry group192 elements.
full symmetry group192 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, rs‑1r‑2s‑2t, s8  >
C&D number cN22.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is N22.4′.

Its Petrie dual is the dual Dyck map.

It is its own 3-hole derivative.

List of regular maps in non-orientable genus 22.

Underlying Graph

Its skeleton is K4,4,4.

Other Regular Maps

General Index