R17.3′

Statistics

genus c	17, orientable
Schläfli formula c	{6,4}
V / F / E c	96 / 64 / 192
notes
vertex, face multiplicity c	1, 1
Petrie polygons	32, each with 12 edges
rotational symmetry group	384 elements.
full symmetry group	768 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, (sr‑2)4, r‑1s‑1rsr‑2s‑2rs‑1r2s‑1r‑1  >
C&D number c	R17.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R17.3.

List of regular maps in orientable genus 17.

Comments

This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 3:50 seconds from the start. It is shown as a "wireframe diagram", on C4 □ C4. The wireframe is arranged as the skeleton of {4,4}_(4,0).

This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 4:0 seconds from the start. It is shown as a "wireframe diagram", on 2-fold cube. The wireframe is probably arranged as the skeleton of S3:{4,6}.

This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 4:30 seconds from the start. It is shown as a "wireframe diagram", on K_2,2,2,2.

Other Regular Maps

General Index