Acronym	shi
Name	snub hecatonicosachoron (but not snahi)
Cross sections	©
Circumradius	sqrt[9+3 sqrt(5)+sqrt[102+46 sqrt(5)]]/2 = 2.739576
Face vector	1440, 10800, 11040, 1560
Confer	Grünbaumian relatives: shi+120x 2sissid   general polytopal classes: scaliform   non-orientable
External links

Incidence matrix according to Dynkin symbol

reduced( β3β5o5/2o , by 120x 2sissid )

1440 |   10    5 |    5    5   15 |   5    6
-----+-----------+----------------+---------
   2 | 7200    * |    1    0    2 |   2    1
   2 |    * 3600 |    0    2    2 |   2    2
-----+-----------+----------------+---------
   3 |    3    0 | 2400    *    * |   2    0  as {3}, coming within gyrated coplanar pairs
   5 |    0    5 |    * 1440    * |   1    1  {5/2}
   3 |    2    1 |    *    * 7200 |   1    1
-----+-----------+----------------+---------
  60 |  120   60 |   40   12   60 | 120    *  seside
   6 |    5    5 |    0    1    5 |   * 1440  stappy