R13.14′

Statistics

genus c13, orientable
Schläfli formula c{18,9}
V / F / E c 8 / 4 / 36
notesreplete is not a polyhedral map
vertex, face multiplicity c3, 6
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
18, each with 4 edges
4, each with 18 edges
18, each with 4 edges
12, each with 6 edges
36, each with 2 edges
4, each with 18 edges
18, each with 4 edges
rotational symmetry group72 elements.
full symmetry group144 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, rs4rs‑2, rsr‑1s2rs‑1r, s‑9  >
C&D number cR13.14′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R13.14.

Its Petrie dual is S6:{4,9}.

It can be built by 2-splitting S6:{9,9}.

It is its own 2-hole derivative.
It is its own 4-hole derivative.

List of regular maps in orientable genus 13.

Underlying Graph

Its skeleton is 3 . cubic graph.

Other Regular Maps

General Index