S7:{6,12}

Statistics

genus c7, orientable
Schläfli formula c{6,12}
V / F / E c 4 / 8 / 24
notesreplete is not a polyhedral map
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 holes
6, each with 8 edges
4, each with 12 edges
6, each with 8 edges
12, each with 4 edges
24, each with 2 edges
4, each with 12 edges
4, each with 12 edges
16, each with 3 edges
6, each with 8 edges
24, each with 2 edges
rotational symmetry group48 elements.
full symmetry group96 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, s‑2r‑2s‑2r  >
C&D number cR7.7
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{12,6}.

Its Petrie dual is N16.8.

Its 5-hole derivative is S3:{3,12}.

List of regular maps in orientable genus 7.

Underlying Graph

Its skeleton is 4 . K4.

Other Regular Maps

General Index