The 13-hosohedron

Statistics

genus c0, orientable
Schläfli formula c{2,13}
V / F / E c 2 / 13 / 13
notesFaces with < 3 edges trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c13, 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
1, with 26 edges
13, each with 2 edges
1, with 26 edges
13, each with 2 edges
1, with 26 edges
13, each with 2 edges
1, with 26 edges
13, each with 2 edges
1, with 26 edges
13, each with 2 edges
1, with 26 edges
antipodal sets1 of ( 2v ), 13 of ( f, e, h2, h3, h4, h5, h6 )
rotational symmetry groupD26, with 26 elements
full symmetry groupD52, with 52 elements
its presentation c< r, s, t | r2, s2, t2, (rs)2, (st)13, (rt)2 >
C&D number cR0.n13
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the di-13gon.

Its Petrie dual is S6:{26,13}.

It can be rectified to give the 13-lucanicohedron.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is 13 . K2.

Cayley Graphs based in this Regular Map


Type II

D26

Type IIa

C26

Other Regular Maps

General Index

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