R12.2

Statistics

genus c	12, orientable
Schläfli formula c	{4,26}
V / F / E c	4 / 26 / 52
notes
vertex, face multiplicity c	13, 2
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	2, each with 52 edges 52, each with 2 edges 4, each with 26 edges 26, each with 4 edges 2, each with 52 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges INF, each with 0 edges 52, each with 2 edges 4, each with 26 edges INF, each with 0 edges INF, each with 0 edges 52, each with 2 edges 4, each with 26 edges 26, each with 4 edges 2, each with 52 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	104 elements.
full symmetry group	208 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s26  >
C&D number c	R12.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R12.2′.

Its Petrie dual is R24.12′.

It can be 3-split to give R60.8.

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

It is a member of series ζ .

List of regular maps in orientable genus 12.

Wireframe constructions

	×	the 13-hosohedron
	×	the 13-hosohedron

Other Regular Maps

General Index