R84.20

Statistics

genus c84, orientable
Schläfli formula c{336,336}
V / F / E c 1 / 1 / 168
notesFaces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial
vertex, face multiplicity c336, 336
Petrie polygons
168, each with 2 edges
rotational symmetry group336 elements.
full symmetry group672 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r76ts2ts‑1r8s‑1tr‑2str3s‑74  >
C&D number cR84.20
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It can be rectified to give R84.3′.

It is a member of series β° .

List of regular maps in orientable genus 84.


Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |


Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720