# The hemi-14-hosohedron

### Statistics

 genus c 1, non-orientable Schläfli formula c {2,14} V / F / E c 1 / 7 / 7 notes vertex, face multiplicity c 14, 1 Petrie polygonsholes2nd-order Petrie polygons3rd-order holes3rd-order Petrie polygons4th-order holes4th-order Petrie polygons5th-order holes5th-order Petrie polygons6th-order holes6th-order Petrie polygons7th-order holes 2, each with 7 edges7, each with 2 edges1, with 14 edges7, each with 2 edges2, each with 7 edges7, each with 2 edges1, with 14 edges7, each with 2 edges2, each with 7 edges7, each with 2 edges1, with 14 edges7, each with 2 edges antipodal sets 7 of ( f, e, h2, h3, h4, h5, h6, h7 ), 1 of ( 2p1, 2p3, 2p5 ) rotational symmetry group D28, with 28 elements full symmetry group D28, with 28 elements its presentation c < r, s, t | r2, s2, t2, (rs)4, (st)2, (rt)2 > C&D number c N1.n7 The statistics marked c are from the published work of Professor Marston Conder.

### Relations to other Regular Maps

Its dual is the hemi-di-14gon.

Its Petrie dual is S3{7,14}.

It can be 2-fold covered to give the 14-hosohedron.

It can be rectified to give the hemi-14-lucanicohedron.

It is the half shuriken of the 7-hosohedron.

### Underlying Graph

Its skeleton is 7 . 1-cycle.