Acronym	pinnip
Name	prismatointercepted pentachoron, retropyroinvertirectichoron, vertex figure of han
Cross sections	©
Circumradius	sqrt(3/5) = 0.774597
General of army	rap
Colonel of regiment	rap
Face vector	10, 30, 45, 15
Confer	pinnip+5 2thah
External links

The prismatointercepted pentachoron is an edge-faceting of the rectified pentachoron (rap). In fact it can be seen as reduced( x3o3/2x3o , by 2thah ).

Incidence matrix

 10 |  6 |  3  6  6 | 3  6
----+----+----------+-----
  2 | 30 |  1  2  2 | 2  3
----+----+----------+-----
  3 |  3 | 10  *  * | 2  0
  3 |  3 |  * 20  * | 1  1
  4 |  4 |  *  * 15 | 0  2
----+----+----------+-----
♦ 6 | 12 |  4  4  0 | 5  *
♦ 6 |  9 |  0  2  3 | * 10

pseudo tet || oct   → height = sqrt(5/8) = 0.790569

  6 * |  4  2 0 | 2 2 2  4  4 1 0 | 1 4 2 2
  * 4 |  0  3 3 | 0 0 0  6  3 3 3 | 0 3 3 3
------+---------+-----------------+--------
  2 0 | 12  * * | 1 1 1  1  1 0 0 | 1 2 1 1
  1 1 |  * 12 * | 0 0 0  2  2 1 0 | 0 2 2 1
  0 2 |  *  * 6 | 0 0 0  2  0 1 2 | 0 1 2 2
------+---------+-----------------+--------
  4 0 |  4  0 0 | 3 * *  *  * * * | 0 2 0 0
  3 0 |  3  0 0 | * 4 *  *  * * * | 1 0 1 0
  3 0 |  3  0 0 | * * 4  *  * * * | 1 0 0 1
  2 2 |  1  2 1 | * * * 12  * * * | 0 1 0 1
  2 1 |  1  2 0 | * * *  * 12 * * | 0 1 1 0
  1 2 |  0  2 1 | * * *  *  * 6 * | 0 0 2 0
  0 3 |  0  0 3 | * * *  *  * * 4 | 0 0 1 1
------+---------+-----------------+--------
♦ 6 0 | 12  0 0 | 0 4 4  0  0 0 0 | 1 * * *
♦ 4 2 |  4  4 1 | 1 0 0  2  2 0 0 | * 6 * *
♦ 3 3 |  3  6 3 | 0 1 0  0  3 3 1 | * * 4 *
♦ 3 3 |  3  3 3 | 0 0 1  3  0 0 1 | * * * 4