Acronym sirn
Name small rhombated penteract,
cantellated penteract
Circumradius sqrt[11+6 sqrt(2)]/2 = 2.207107
Vertex figure
 ©
Lace city
in approx. ASCII-art
 ©  
x3o4x  o3x4x    o3x4x  x3o4x		-- o3x3o4x (srit)
                            
                            
                            
o3x4x  o3o4w    o3o4w  o3x4x		-- o3o3x4x (tat)
                            
                            
                            
                            
                            
o3x4x  o3o4w    o3o4w  o3x4x		-- o3o3x4x (tat)
                            
                            
                            
x3o4x  o3x4x    o3x4x  x3o4x		-- o3x3o4x (srit)
Coordinates ((1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army (is itself convex)
Colonel of regiment (is itself locally convex – other uniform polyteral members: rawn   & others)
Confer
related segmentotera:
sritatat   tattip  
general polytopal classes:
partial Stott expansions  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3o3x3o4x

. . . . . | 320 |   6   2 |   6   3   6  1 |   2   3   6  3 |  1  2  3
----------+-----+---------+----------------+----------------+---------
. . x . . |   2 | 960   * |   2   1   1  0 |   1   2   2  1 |  1  1  2
. . . . x |   2 |   * 320 |   0   0   3  1 |   0   0   3  3 |  0  1  3
----------+-----+---------+----------------+----------------+---------
. o3x . . |   3 |   3   0 | 640   *   *  * |   1   1   1  0 |  1  1  1
. . x3o . |   3 |   3   0 |   * 320   *  * |   0   2   0  1 |  1  0  2
. . x . x |   4 |   2   2 |   *   * 480  * |   0   0   2  1 |  0  1  2
. . . o4x |   4 |   0   4 |   *   *   * 80 |   0   0   0  3 |  0  0  3
----------+-----+---------+----------------+----------------+---------
o3o3x . .    4 |   6   0 |   4   0   0  0 | 160   *   *  * |  1  1  0
. o3x3o .    6 |  12   0 |   4   4   0  0 |   * 160   *  * |  1  0  1
. o3x . x    6 |   6   3 |   2   0   3  0 |   *   * 320  * |  0  1  1
. . x3o4x   24 |  24  24 |   0   8  12  6 |   *   *   * 40 |  0  0  2
----------+-----+---------+----------------+----------------+---------
o3o3x3o .   10 |  30   0 |  20  10   0  0 |   5   5   0  0 | 32  *  *
o3o3x . x    8 |  12   4 |   8   0   6  0 |   2   0   4  0 |  * 80  *
. o3x3o4x   96 | 192  96 |  64  64  96 24 |   0  16  32  8 |  *  * 10

snubbed forms: o3o3x3o4s

oooo3xoox3oxxo4xxxx&#xt   → outer heights = 1/sqrt(2) = 0.707107
                            inner height = 1
(srit || pseudo tat || pseudo tat || srit)

...

oxo4wxx xoo3oxo4xxw&#zx   → height = 0
(tegum sum of (w-{4},sirco)-duoprism and ({8},tic)-duoprism and ({4},w-cube)-duoprism)

...

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