S6:{14,4}

Statistics

genus c6, orientable
Schläfli formula c{14,4}
V / F / E c 14 / 4 / 28
notesreplete is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c2, 7
Petrie polygons
holes
2, each with 28 edges
28, each with 2 edges
rotational symmetry group56 elements.
full symmetry group112 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r14  >
C&D number cR6.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{4,14}.

Its Petrie dual is S7:{28,4}.

It can be 3-split to give R20.1′.
It can be 5-split to give R34.4′.
It can be 9-split to give R62.1′.
It can be 11-split to give R76.6′.

It is the result of rectifying S6:{14,14}.

It is a member of series l.

List of regular maps in orientable genus 6.

Wireframe constructions

p {14,4} 2 | 4/7 | 4 × the 7-hosohedron
q {14,4} 2 | 4/7 | 4 × the 7-hosohedron

Underlying Graph

Its skeleton is 2 . 14-cycle.

Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |

The images on this page are copyright © 2010 N. Wedd