Acronym	rawvtip
Name	retrosphenoverted triakispentachoron
Cross sections	©
Circumradius	sqrt(7/5) = 1.183216
General of army	srip
Colonel of regiment	srip
Face vector	30, 90, 70, 15
Confer	general polytopal classes: Wythoffian polychora
External links

Incidence matrix according to Dynkin symbol

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

o3x3x3o3/2*b

. . . .      | 30 |  4  2 |  2  4  2  1 | 2 1 2
-------------+----+-------+-------------+------
. x . .      |  2 | 60  * |  1  1  1  0 | 1 1 1
. . x .      |  2 |  * 30 |  0  2  0  1 | 1 0 2
-------------+----+-------+-------------+------
o3x . .      |  3 |  3  0 | 20  *  *  * | 1 1 0
. x3x .      |  6 |  3  3 |  * 20  *  * | 1 0 1
. x . o3/2*b |  3 |  3  0 |  *  * 20  * | 0 1 1
. . x3o      |  3 |  0  3 |  *  *  * 10 | 0 0 2
-------------+----+-------+-------------+------
o3x3x .      ♦ 12 | 12  6 |  4  4  0  0 | 5 * *
o3x . o3/2*b ♦  6 | 12  0 |  4  0  4  0 | * 5 *
. x3x3o3/2*b ♦ 12 | 12 12 |  0  4  4  4 | * * 5

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

o3x3x3/2o3*b

. . .   .    | 30 |  4  2 |  2  4  2  1 | 2 1 2
-------------+----+-------+-------------+------
. x .   .    |  2 | 60  * |  1  1  1  0 | 1 1 1
. . x   .    |  2 |  * 30 |  0  2  0  1 | 1 0 2
-------------+----+-------+-------------+------
o3x .   .    |  3 |  3  0 | 20  *  *  * | 1 1 0
. x3x   .    |  6 |  3  3 |  * 20  *  * | 1 0 1
. x .   o3*b |  3 |  3  0 |  *  * 20  * | 0 1 1
. . x3/2o    |  3 |  0  3 |  *  *  * 10 | 0 0 2
-------------+----+-------+-------------+------
o3x3x   .    ♦ 12 | 12  6 |  4  4  0  0 | 5 * *
o3x .   o3*b ♦  6 | 12  0 |  4  0  4  0 | * 5 *
. x3x3/2o3*b ♦ 12 | 12 12 |  0  4  4  4 | * * 5

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

o3/2x3x3o3/2*b

.   . . .      | 30 |  4  2 |  2  4  2  1 | 2 1 2
---------------+----+-------+-------------+------
.   x . .      |  2 | 60  * |  1  1  1  0 | 1 1 1
.   . x .      |  2 |  * 30 |  0  2  0  1 | 1 0 2
---------------+----+-------+-------------+------
o3/2x . .      |  3 |  3  0 | 20  *  *  * | 1 1 0
.   x3x .      |  6 |  3  3 |  * 20  *  * | 1 0 1
.   x . o3/2*b |  3 |  3  0 |  *  * 20  * | 0 1 1
.   . x3o      |  3 |  0  3 |  *  *  * 10 | 0 0 2
---------------+----+-------+-------------+------
o3/2x3x .      ♦ 12 | 12  6 |  4  4  0  0 | 5 * *
o3/2x . o3/2*b ♦  6 | 12  0 |  4  0  4  0 | * 5 *
.   x3x3o3/2*b ♦ 12 | 12 12 |  0  4  4  4 | * * 5

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

o3/2x3x3/2o3*b

.   . .   .    | 30 |  4  2 |  2  4  2  1 | 2 1 2
---------------+----+-------+-------------+------
.   x .   .    |  2 | 60  * |  1  1  1  0 | 1 1 1
.   . x   .    |  2 |  * 30 |  0  2  0  1 | 1 0 2
---------------+----+-------+-------------+------
o3/2x .   .    |  3 |  3  0 | 20  *  *  * | 1 1 0
.   x3x   .    |  6 |  3  3 |  * 20  *  * | 1 0 1
.   x .   o3*b |  3 |  3  0 |  *  * 20  * | 0 1 1
.   . x3/2o    |  3 |  0  3 |  *  *  * 10 | 0 0 2
---------------+----+-------+-------------+------
o3/2x3x   .    ♦ 12 | 12  6 |  4  4  0  0 | 5 * *
o3/2x .   o3*b ♦  6 | 12  0 |  4  0  4  0 | * 5 *
.   x3x3/2o3*b ♦ 12 | 12 12 |  0  4  4  4 | * * 5

β3o3x3o

both( . . . . ) | 30 |  4  2 |  2  2  1  4 | 1 2 2
----------------+----+-------+-------------+------
both( . . x . ) |  2 | 60  * |  1  1  0  1 | 1 1 1
sefa( β3o . . ) |  2 |  * 30 |  0  0  1  2 | 0 2 1
----------------+----+-------+-------------+------
both( . o3x . ) |  3 |  3  0 | 20  *  *  * | 1 1 0
both( . . x3o ) |  3 |  3  0 |  * 20  *  * | 1 0 1
      β3o . .   ♦  3 |  0  3 |  *  * 10  * | 0 2 0
sefa( β3o3x . ) |  6 |  3  3 |  *  *  * 20 | 0 1 1
----------------+----+-------+-------------+------
both( . o3x3o ) ♦  6 | 12  0 |  4  4  0  0 | 5 * *
      β3o3x .   ♦ 12 | 12 12 |  4  0  4  4 | * 5 *
sefa( β3o3x3o ) ♦ 12 | 12  6 |  0  4  0  4 | * * 5

starting figure: x3o3x3o