S7:{21,6}

Statistics

genus c7, orientable
Schläfli formula c{21,6}
V / F / E c 7 / 2 / 21
notesFaces share vertices with themselves is not a polyhedral map
vertex, face multiplicity c3, 21
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3, each with 14 edges
7 double, each with 6 edges
21, each with 2 edges
6 Hamiltonian, each with 7 edges
rotational symmetry group42 elements.
full symmetry group84 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, r‑1s3r‑1s, r3s‑2r4  >
C&D number cR7.8′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{6,21}.

It can be 2-split to give R14.7′.

It is a member of series q.

List of regular maps in orientable genus 7.


Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd