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 sird srid tut sripady 120 1200 0 0 120 0 0 spixady 120 0 720 120 0 0 600 prahi 0 1200 720 0 0 120 600 )
Dihedral angles	at {6} between hip and tut:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756° at {4} between hip and pip:   arccos(-sqrt[(10+2 sqrt(5))/15]) = 169.187683° at {5} between pip and srid:   162° at {4} between hip and srid:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843° at {3} between srid and tut:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
Face vector	7200, 18000, 13440, 2640
Confer	Grünbaumian relatives: 2prahi   related CRFs: sridagridtum   general polytopal classes: Wythoffian polychora
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

snubbed forms: β3x3o5x, x3β3o5x, x3x3o5β, β3β3o5x, β3x3o5β, x3β3o5β, β3β3o5β

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