The 14-hosohedron

Statistics

genus c0, orientable
Schläfli formula c{2,14}
V / F / E c 2 / 14 / 14
notesFaces with < 3 edges trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c14, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
5th-order holes
5th-order Petrie polygons
6th-order holes
6th-order Petrie polygons
7th-order holes
2, each with 14 edges
14, each with 2 edges
2, each with 14 edges
14, each with 2 edges
2, each with 14 edges
14, each with 2 edges
2, each with 14 edges
14, each with 2 edges
2, each with 14 edges
14, each with 2 edges
2, each with 14 edges
14, each with 2 edges
antipodal sets1 of ( 2v ), 7 of ( 2f, 2h3, 2h5, 2h7 ), 7 of ( 2e, 2h2, 2h4, 2h6 ), 1 of ( 2p1, 2pp3, 2p5 ), of ( 1 of ( 2p2, 2p4, 2p6 )
rotational symmetry groupD28, with 28 elements
full symmetry groupD28×C2, with 56 elements
its presentation c< r, s, t | r2, s2, t2, (rs)2, (st)14, (rt)2 >
C&D number cR0.n14
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the di-14gon.

Its Petrie dual is S6:{14,14}.

It is a 2-fold cover of the hemi-14-hosohedron.

It can be rectified to give the 14-lucanicohedron.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is 14 . K2.

Cayley Graphs based in this Regular Map


Type II

D28

Type IIa

C7×C2×C2

Other Regular Maps

General Index

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