S7:{4,16|2}

Statistics

genus c7, orientable
Schläfli formula c{4,16}
V / F / E c 4 / 16 / 32
notesreplete is not a polyhedral map
vertex, face multiplicity c8, 2
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4, each with 16 edges
32, each with 2 edges
8, each with 8 edges
16, each with 4 edges
4, each with 16 edges
rotational symmetry group64 elements.
full symmetry group128 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s16  >
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:{16,4|2}.

It can be 3-split to give R35.9.
It can be 5-split to give R63.14′.
It can be 7-split to give R91.44′.

It is a member of series m.

List of regular maps in orientable genus 7.

Wireframe constructions

pd  {4,16}  4/8 | 2 | 4 × the 8-hosohedron
qd  {4,16}  4/8 | 2 | 4 × the 8-hosohedron

Other Regular Maps

General Index