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 6th-order holes 6th-order Petrie polygons 8th-order holes 8th-order Petrie polygons 9th-order holes 9th-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 52, each with 2 edges 4, each with 26 edges 52, each with 2 edges 4, each with 26 edges 26, each with 4 edges 2, each with 52 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′.
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 m.

List of regular maps in orientable genus 12.

Wireframe constructions

	×	the 13-hosohedron
	×	the 13-hosohedron

Other Regular Maps

General Index