S7:{16,4|2}

Statistics

genus c7, orientable
Schläfli formula c{16,4}
V / F / E c 16 / 4 / 32
notesreplete is not a polyhedral map
vertex, face multiplicity c2, 8
Petrie polygons
4, each with 16 edges
rotational symmetry group64 elements.
full symmetry group128 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r16  >
C&D number cR7.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{4,16|2}.

It can be 3-split to give R23.1′.
It can be 5-split to give R39.2′.
It can be 7-split to give R55.13′.
It can be 9-split to give R71.1′.
It can be 11-split to give R87.2′.

It is the result of rectifying S7:{16,16}2.

It is a member of series l.

List of regular maps in orientable genus 7.

Wireframe constructions

p {16,4} 2 | 4/8 | 4 × the 8-hosohedron
q {16,4} 2 | 4/8 | 4 × the 8-hosohedron

Other Regular Maps

General Index

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

The image on this page is copyright © 2010 N. Wedd