R96.1

Statistics

genus c96, orientable
Schläfli formula c{3,9}
V / F / E c 380 / 1140 / 1710
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
171, each with 20 edges
380, each with 9 edges
570, each with 6 edges
342, each with 10 edges
171, each with 20 edges
180, each with 19 edges
190, each with 18 edges
rotational symmetry groupPSL(2,19), with 3420 elements
full symmetry group6840 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s‑9, s‑1r‑1s2rs‑2r‑1sr‑1s‑2rs2r‑1s‑2, s‑3rs‑4rs‑3r‑1s3r‑1s3r‑1s‑3rs‑1  >
C&D number cR96.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R96.1′.

List of regular maps in orientable genus 96.


Other Regular Maps

General Index