R25.41

Statistics

genus c	25, orientable
Schläfli formula c	{28,28}
V / F / E c	4 / 4 / 56
notes
vertex, face multiplicity c	14, 14
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 6th-order Petrie polygons 7th-order holes 7th-order Petrie polygons 8th-order holes 8th-order Petrie polygons 9th-order holes 9th-order Petrie polygons 10th-order holes 10th-order Petrie polygons 11th-order holes 11th-order Petrie polygons 12th-order holes 12th-order Petrie polygons 13th-order holes 13th-order Petrie polygons 14th-order holes 14th-order Petrie polygons	28, each with 4 edges 8, each with 14 edges 56, each with 2 edges 4, each with 28 edges 28, each with 4 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges 8, each with 14 edges 56, each with 2 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges 4, each with 28 edges 28, each with 4 edges 8, each with 14 edges 56, each with 2 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges
rotational symmetry group	112 elements.
full symmetry group	224 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, srs‑1rs2, r22s‑1rs‑1r3  >
C&D number c	R25.41
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is R13.6.

It can be 3-split to give R77.36′.

It can be rectified to give R25.15′.

It is its own 3-hole derivative.
It is its own 9-hole derivative.

It is a member of series θ° .

List of regular maps in orientable genus 25.

Other Regular Maps

General Index