N16.7

Statistics

genus c16, non-orientable
Schläfli formula c{8,12}
V / F / E c 4 / 6 / 24
notesreplete
vertex, face multiplicity c4, 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 Petrie polygons
16, each with 3 edges
6, each with 8 edges
4, each with 12 edges
24, each with 2 edges
12, each with 4 edges
4, each with 12 edges
4, each with 12 edges
6, each with 8 edges
8, each with 6 edges
24, each with 2 edges
rotational symmetry group96 elements.
full symmetry group96 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, (rs‑2)2, rs‑1r‑2s‑2t  >
C&D number cN16.7
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is N16.7′.

Its Petrie dual is S3:{3,12}.

Its 5-hole derivative is N16.8.

List of regular maps in non-orientable genus 16.

Underlying Graph

Its skeleton is 4 . K4.

Other Regular Maps

General Index