The 13-hosohedron

Statistics

genus c	0, orientable
Schläfli formula c	{2,13}
V / F / E c	2 / 13 / 13
notes
vertex, face multiplicity c	13, 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 sets	1 of ( 2v ), 13 of ( f, e, h2, h3, h4, h5, h6 )
rotational symmetry group	D26, with 26 elements
full symmetry group	D52, with 52 elements
its presentation c	< r, s, t | r2, s2, t2, (rs)2, (st)13, (rt)2 >
C&D number c	R0.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.

It is its own 2-hole derivative.
It is its own 3-hole derivative.
It is its own 4-hole derivative.
It is its own 5-hole derivative.
It is its own 6-hole derivative.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is 13 . K₂.

Cayley Graphs based in this Regular Map

Type II

Type IIa

Other Regular Maps

General Index

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