Acronym tautisdip
Name triaugmented 3,4-duoprism
Circumradius ...
Coordinates
  1. (0, 0, 0, A/sqrt(3))
    (1st augmentation apex)
  2. (1/2, 1/2, 1/2, 1/sqrt(12))                 & all changes of sign in first 3 coords.
    (joining cube)
  3. (0, 0, A/2, -A/sqrt(12))                     & all changes of sign in 3rd coord.
    (other augmentation apices)
  4. (1/2, 1/2, 0, -1/sqrt(3))                     & all changes of sign in first 2 coords.
    (bottom square)
where A = (1+sqrt(3))/2 = 1.366025
Confer
uniform relative:
tisdip  
blend-component:
cubpy   tisdip  
related segmentochora:
cubpy  
related CRFs:
bauautipip  

Incidence matrix according to Dynkin symbol

xo3oA xo4oo&#zx   height = 0 (where A = (1+sqrt(3))/2 = 1.366025)

o.3o. o.4o.    | 12 * |  2  2  2 | 1  4 1  2  4 | 2  4 2
.o3.o .o4.o    |  * 3   0  0  8 | 0  0 0  4  8 | 0  4 2 (apices)
---------------+------+----------+--------------+-------
x. .. .. ..    |  2 0 | 12  *  * | 1  2 0  1  0 | 2  2 0
.. .. x. ..    |  2 0 |  * 12  * | 0  2 1  0  2 | 1  2 2
oo3oo oo4oo&#x |  1 1 |  *  * 24 | 0  0 0  1  2 | 0  2 1
---------------+------+----------+--------------+-------
x.3o. .. ..    |  3 0 |  3  0  0 | 4  * *  *  * | 2  0 0
x. .. x. ..    |  4 0 |  2  2  0 | * 12 *  *  * | 1  1 0
.. .. x.4o.    |  4 0 |  0  4  0 | *  * 3  *  * | 0  0 2
xo .. .. ..&#x |  2 1 |  1  0  2 | *  * * 12  * | 0  2 0
.. .. xo ..&#x |  2 1 |  0  1  2 | *  * *  * 24 | 0  1 1
---------------+------+----------+--------------+-------
x.3o. x. ..      6 0 |  6  3  0 | 2  3 0  0  0 | 4  * *
xo .. xo ..&#x   4 1 |  2  2  4 | 0  1 0  2  2 | * 12 *
.. .. xo4oo&#x   4 1 |  0  4  4 | 0  0 1  0  4 | *  * 6

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