R27.4′

Statistics

genus c27, orientable
Schläfli formula c{108,4}
V / F / E c 54 / 2 / 108
notesFaces share vertices with themselves
vertex, face multiplicity c2, 108
Petrie polygons
4, each with 54 edges
rotational symmetry group216 elements.
full symmetry group432 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r27s2r27  >
C&D number cR27.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R27.4.

Its Petrie dual is R26.3′.

It is the result of rectifying R27.18.

It is a member of series ζ'° .

List of regular maps in orientable genus 27.


Other Regular Maps

General Index