R27.10′

Statistics

genus c27, orientable
Schläfli formula c{36,9}
V / F / E c 16 / 4 / 72
notesreplete
vertex, face multiplicity c3, 12
Petrie polygons
18, each with 8 edges
rotational symmetry group144 elements.
full symmetry group288 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, rs4rs‑2, rsr‑2sr3, s‑9  >
C&D number cR27.10′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R27.10.

Its Petrie dual is R20.5.

List of regular maps in orientable genus 27.

Underlying Graph

Its skeleton is 3 . Möbius-Kantor graph.

Other Regular Maps

General Index