N92.1

Statistics

genus c92, non-orientable
Schläfli formula c{4,8}
V / F / E c 90 / 180 / 360
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
90, each with 8 edges
90, each with 8 edges
144, each with 5 edges
120, each with 6 edges
180, each with 4 edges
72, each with 10 edges
144, each with 5 edges
rotational symmetry group1440 elements.
full symmetry group1440 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s8, rs‑1rs‑1r2sr‑1st, srs‑1r‑1srs‑1r2s‑1rsr‑1s‑1rs, s‑2r‑1s2rs‑2r‑1sr‑1s‑2rst  >
C&D number cN92.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is N92.1′.

Its Petrie dual is R91.36.

Its 3-hole derivative is N152.1.

List of regular maps in non-orientable genus 92.


Other Regular Maps

General Index