R9.9′

Statistics

genus c	9, orientable
Schläfli formula c	{12,4}
V / F / E c	24 / 8 / 48
notes
vertex, face multiplicity c	1, 4
Petrie polygons	16, each with 6 edges
rotational symmetry group	96 elements.
full symmetry group	192 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑1)4, rsr‑2sr3  >
C&D number c	R9.9′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.9.

Its Petrie dual is S5:{6,4}.

It can be 5-split to give R57.10′.
It can be 7-split to give R81.32′.

List of regular maps in orientable genus 9.

Comments

This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 3:0 seconds from the start. It is shown as a "wireframe diagram", on 2-fold K₄. The wireframe is probably arranged as the skeleton of {3,6}_(2,2).

Other Regular Maps

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