The hemi-12-hosohedron

Statistics

genus c1, non-orientable
Schläfli formula c{2,12}
V / F / E c 1 / 6 / 6
notesFaces with < 3 edges Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c12, 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
1, with 12 edges
6, each with 2 edges
4, each with 3 edges
6, each with 2 edges
2, each with 6 edges
6, each with 2 edges
3, each with 4 edges
6, each with 2 edges
1, with 12 edges
6, each with 2 edges
antipodal sets6 of ( 2f, 2h3, 2h5; 2p3 ), 6 of ( 2e, 2h2, 2h4, 2h6; 2p4 ), 4 of ( 2p2, 2p2 )
rotational symmetry groupD24, with 24 elements
full symmetry groupD24, with 24 elements
its presentation c< r, s, t | r2, s2, t2, (rs)6, (st)2, (rt)2 >
C&D number cN1.n6
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the hemi-di-dodecagon.

Its Petrie dual is S3{12,12}.

It can be 2-fold covered to give the 12-hosohedron.

It can be rectified to give the hemi-12-lucanicohedron.

It is the half shuriken of the 6-hosohedron.

List of regular maps in non-orientable genus 1.

Underlying Graph

Its skeleton is 6 . 1-cycle.

Other Regular Maps

General Index

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