Acronym	pittip
Name	prismatotriakispentachoron
Cross sections	©
Circumradius	sqrt(13/5) = 1.612452
General of army	prip
Colonel of regiment	prip
Face vector	60, 150, 110, 25
Confer	general polytopal classes: Wythoffian polychora
External links

Incidence matrix according to Dynkin symbol

     x    
   3 |    
     x    
  3 / \ 3 
   x---o  
    3/2   

x3x3o3/2x3*b

. . .   .    | 60 |  1  2  2 |  2  2  1  2  1 | 1 2  1 1
-------------+----+----------+----------------+---------
x . .   .    |  2 | 30  *  * |  2  2  0  0  0 | 1 2  1 0
. x .   .    |  2 |  * 60  * |  1  0  1  1  0 | 1 1  0 1
. . .   x    |  2 |  *  * 60 |  0  1  0  1  1 | 0 1  1 1
-------------+----+----------+----------------+---------
x3x .   .    |  6 |  3  3  0 | 20  *  *  *  * | 1 1  0 0
x . .   x    |  4 |  2  0  2 |  * 30  *  *  * | 0 1  1 0
. x3o   .    |  3 |  0  3  0 |  *  * 20  *  * | 1 0  0 1
. x .   x3*b |  6 |  0  3  3 |  *  *  * 20  * | 0 1  0 1
. . o3/2x    |  3 |  0  0  3 |  *  *  *  * 20 | 0 0  1 1
-------------+----+----------+----------------+---------
x3x3o   .    ♦ 12 |  6 12  0 |  4  0  4  0  0 | 5 *  * *
x3x .   x3*b ♦ 24 | 12 12 12 |  4  6  0  4  0 | * 5  * *
x . o3/2x    ♦  6 |  3  0  6 |  0  3  0  0  2 | * * 10 *
. x3o3/2x3*b ♦ 12 |  0 12 12 |  0  0  4  4  4 | * *  * 5

     x     
   3 |     
     x     
  3 / \ 3/2
   x---o   
     3     

x3x3/2o3x3*b

. .   . .    | 60 |  1  2  2 |  2  2  1  2  1 | 1 2  1 1
-------------+----+----------+----------------+---------
x .   . .    |  2 | 30  *  * |  2  2  0  0  0 | 1 2  1 0
. x   . .    |  2 |  * 60  * |  1  0  1  1  0 | 1 1  0 1
. .   . x    |  2 |  *  * 60 |  0  1  0  1  1 | 0 1  1 1
-------------+----+----------+----------------+---------
x3x   . .    |  6 |  3  3  0 | 20  *  *  *  * | 1 1  0 0
x .   . x    |  4 |  2  0  2 |  * 30  *  *  * | 0 1  1 0
. x3/2o .    |  3 |  0  3  0 |  *  * 20  *  * | 1 0  0 1
. x   . x3*b |  6 |  0  3  3 |  *  *  * 20  * | 0 1  0 1
. .   o3x    |  3 |  0  0  3 |  *  *  *  * 20 | 0 0  1 1
-------------+----+----------+----------------+---------
x3x3/2o .    ♦ 12 |  6 12  0 |  4  0  4  0  0 | 5 *  * *
x3x   . x3*b ♦ 24 | 12 12 12 |  4  6  0  4  0 | * 5  * *
x .   o3x    ♦  6 |  3  0  6 |  0  3  0  0  2 | * * 10 *
. x3/2o3x3*b ♦ 12 |  0 12 12 |  0  0  4  4  4 | * *  * 5

x3x3o3β

both( . . . . ) | 60 |  1  2  2 |  2  1  1  2  2 | 1  1 1 2
----------------+----+----------+----------------+---------
both( x . . . ) |  2 | 30  *  * |  2  0  0  2  0 | 1  1 0 2
both( . x . . ) |  2 |  * 60  * |  1  1  0  0  1 | 1  0 1 1
sefa( . . o3β ) |  2 |  *  * 60 |  0  0  1  1  1 | 0  1 1 1
----------------+----+----------+----------------+---------
both( x3x . . ) |  6 |  3  3  0 | 20  *  *  *  * | 1  0 0 1
both( . x3o . ) |  3 |  0  3  0 |  * 20  *  *  * | 1  0 1 0
      . . o3β   ♦  3 |  0  0  3 |  *  * 20  *  * | 0  1 1 0
sefa( x . o3β ) |  4 |  2  0  2 |  *  *  * 30  * | 0  1 0 1
sefa( . x3o3β ) |  6 |  0  3  3 |  *  *  *  * 20 | 0  0 1 1
----------------+----+----------+----------------+---------
both( x3x3o . ) ♦ 12 |  6 12  0 |  4  4  0  0  0 | 5  * * *
      x . o3β   ♦  6 |  3  0  6 |  0  0  2  3  0 | * 10 * *
      . x3o3β   ♦ 12 |  0 12 12 |  0  4  4  0  4 | *  * 5 *
sefa( x3x3o3β ) ♦ 24 | 12 12 12 |  4  0  0  6  4 | *  * * 5

starting figure: x3x3o3x