Acronym	prahi
Name	prismatorhombated hecatonicosachoron, runcitruncated hexacosachoron
Circumradius	sqrt[35+15 sqrt(5)] = 8.278950
Vertex figure	©
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: grid hip pip saddid srid tut spixady 120 0 720 120 0 600 prahi 0 1200 720 0 120 600   & others)
Confer	Grünbaumian relatives: 2prahi   related CRFs: srid || (u,x)-srid || grid
External links

As abstract polytope prahi is isomorphic to paqrigagishi, thereby replacing the pentagons by pentagrams, resp. replacing srid by qrid and replacing pip by stip.

Incidence matrix according to Dynkin symbol

x3x3o5x

. . . . | 7200 |    1    2    2 |    2    2    1    2    1 |   1    2   1   1
--------+------+----------------+--------------------------+-----------------
x . . . |    2 | 3600    *    * |    2    2    0    0    0 |   1    2   1   0
. x . . |    2 |    * 7200    * |    1    0    1    1    0 |   1    1   0   1
. . . x |    2 |    *    * 7200 |    0    1    0    1    1 |   0    1   1   1
--------+------+----------------+--------------------------+-----------------
x3x . . |    6 |    3    3    0 | 2400    *    *    *    * |   1    1   0   0
x . . x |    4 |    2    0    2 |    * 3600    *    *    * |   0    1   1   0
. x3o . |    3 |    0    3    0 |    *    * 2400    *    * |   1    0   0   1
. x . x |    4 |    0    2    2 |    *    *    * 3600    * |   0    1   0   1
. . o5x |    5 |    0    0    5 |    *    *    *    * 1440 |   0    0   1   1
--------+------+----------------+--------------------------+-----------------
x3x3o . ♦   12 |    6   12    0 |    4    0    4    0    0 | 600    *   *   *
x3x . x ♦   12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
x . o5x ♦   10 |    5    0   10 |    0    5    0    0    2 |   *    * 720   *
. x3o5x ♦   60 |    0   60   60 |    0    0   20   30   12 |   *    *   * 120

x3x3/2o5/4x

. .   .   . | 7200 |    1    2    2 |    2    2    1    2    1 |   1    2   1   1
------------+------+----------------+--------------------------+-----------------
x .   .   . |    2 | 3600    *    * |    2    2    0    0    0 |   1    2   1   0
. x   .   . |    2 |    * 7200    * |    1    0    1    1    0 |   1    1   0   1
. .   .   x |    2 |    *    * 7200 |    0    1    0    1    1 |   0    1   1   1
------------+------+----------------+--------------------------+-----------------
x3x   .   . |    6 |    3    3    0 | 2400    *    *    *    * |   1    1   0   0
x .   .   x |    4 |    2    0    2 |    * 3600    *    *    * |   0    1   1   0
. x3/2o   . |    3 |    0    3    0 |    *    * 2400    *    * |   1    0   0   1
. x   .   x |    4 |    0    2    2 |    *    *    * 3600    * |   0    1   0   1
. .   o5/4x |    5 |    0    0    5 |    *    *    *    * 1440 |   0    0   1   1
------------+------+----------------+--------------------------+-----------------
x3x3/2o   . ♦   12 |    6   12    0 |    4    0    4    0    0 | 600    *   *   *
x3x   .   x ♦   12 |    6    6    6 |    2    3    0    3    0 |   * 1200   *   *
x .   o5/4x ♦   10 |    5    0   10 |    0    5    0    0    2 |   *    * 720   *
. x3/2o5/4x ♦   60 |    0   60   60 |    0    0   20   30   12 |   *    *   * 120