Acronym ...
Name vertex figure of dodecacellihemidodecateron
Cross sections
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Circumradius sqrt(3)/2 = 0.866025
General of army xo3oo3ox&#q
Pattern
    b              e       f
                        h   
   a                        
d       c              g    
Face vector 8, 28, 38, 14

Incidence matrix

8 |  3  3 1 | 3  9 3 | 1 4 3
--+---------+--------+------
2 | 12  * * | 2  2 1 | 1 2 2  x - edges of either tet
2 |  * 12 * | 0  4 0 | 0 2 2  q - lacing hull edges
2 |  *  * 4 | 0  0 3 | 0 0 3  h - lacing diagonals
--+---------+--------+------
3 |  3  0 0 | 8  * * | 1 1 0  x3o = verf(tet)
3 |  1  2 0 | * 24 * | 0 1 1  ox&#q = verf(trip)
4 |  2  0 2 | *  * 6 | 0 0 2  x(-x)&#h = verf(oho)
--+---------+--------+------
4 |  6  0 0 | 4  0 0 | 2 * *  x3o3o = verf(pen)
4 |  3  3 0 | 1  3 0 | * 8 *  ox3oo&#q = verf(tepe)
6 |  6  6 3 | 0  6 3 | * * 4  (xo3ox&#q \ x(-x)3oo&#h) = verf(phud)

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