Acronym tritricu
Name triangle-tricu duoprism,
half of traco
Circumradius sqrt(4/3) = 1.154701
Volume 5 sqrt(6)/24 = 0.510310
Face vector 27, 72, 78, 42, 11
Confer
uniform relative:
traco  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

oo3xx ox3xx&#x   → height = sqrt(2/3) = 0.816497
(triddip || thiddip)

o.3o. o.3o.    | 9  * | 2 2  2  0 0 0 | 1 4 1  4 1 2 0 0 0 0 | 2 2 2 2 4 1 0 0 0 | 1 1 2 2 0
.o3.o .o3.o    | * 18 | 0 0  1  2 1 1 | 0 0 0  2 1 1 1 2 2 1 | 0 0 1 2 2 1 1 1 2 | 0 1 1 2 1
---------------+------+---------------+----------------------+-------------------+----------
.. x. .. ..    | 2  0 | 9 *  *  * * * | 1 2 0  2 0 0 0 0 0 0 | 2 1 2 1 2 0 0 0 0 | 1 1 2 1 0
.. .. .. x.    | 2  0 | * 9  *  * * * | 0 2 1  0 0 1 0 0 0 0 | 1 2 0 0 2 1 0 0 0 | 1 0 1 2 0
oo3oo oo3oo&#x | 1  1 | * * 18  * * * | 0 0 0  2 1 1 0 0 0 0 | 0 0 1 2 2 1 0 0 0 | 0 1 1 2 0
.. .x .. ..    | 0  2 | * *  * 18 * * | 0 0 0  1 0 0 1 1 1 0 | 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
.. .. .x ..    | 0  2 | * *  *  * 9 * | 0 0 0  0 1 0 0 2 0 1 | 0 0 0 2 0 1 1 0 2 | 0 1 0 2 1
.. .. .. .x    | 0  2 | * *  *  * * 9 | 0 0 0  0 0 1 0 0 2 1 | 0 0 0 0 2 1 0 1 2 | 0 0 1 2 1
---------------+------+---------------+----------------------+-------------------+----------
o.3x. .. ..    | 3  0 | 3 0  0  0 0 0 | 3 * *  * * * * * * * | 2 0 2 0 0 0 0 0 0 | 1 1 2 0 0
.. x. .. x.    | 4  0 | 2 2  0  0 0 0 | * 9 *  * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
.. .. o.3x.    | 3  0 | 0 3  0  0 0 0 | * * 3  * * * * * * * | 0 2 0 0 0 1 0 0 0 | 1 0 0 2 0
.. xx .. ..&#x | 2  2 | 1 0  2  1 0 0 | * * * 18 * * * * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.. .. ox ..&#x | 1  2 | 0 0  2  0 1 0 | * * *  * 9 * * * * * | 0 0 0 2 0 1 0 0 0 | 0 1 0 2 0
.. .. .. xx&#x | 2  2 | 0 1  2  0 0 1 | * * *  * * 9 * * * * | 0 0 0 0 2 1 0 0 0 | 0 0 1 2 0
.o3.x .. ..    | 0  3 | 0 0  0  3 0 0 | * * *  * * * 6 * * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
.. .x .x ..    | 0  4 | 0 0  0  2 2 0 | * * *  * * * * 9 * * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.. .x .. .x    | 0  4 | 0 0  0  2 0 2 | * * *  * * * * * 9 * | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
.. .. .x3.x    | 0  6 | 0 0  0  0 3 3 | * * *  * * * * * * 3 | 0 0 0 0 0 1 0 0 2 | 0 0 0 2 1
---------------+------+---------------+----------------------+-------------------+----------
o.3x. .. x.     6  0 | 6 3  0  0 0 0 | 2 3 0  0 0 0 0 0 0 0 | 3 * * * * * * * * | 1 0 1 0 0
.. x. o.3x.     6  0 | 3 6  0  0 0 0 | 0 3 2  0 0 0 0 0 0 0 | * 3 * * * * * * * | 1 0 0 1 0
oo3xx .. ..&#x  3  3 | 3 0  3  3 0 0 | 1 0 0  3 0 0 1 0 0 0 | * * 6 * * * * * * | 0 1 1 0 0
.. xx ox ..&#x  2  4 | 1 0  4  2 2 0 | 0 0 0  2 2 0 0 1 0 0 | * * * 9 * * * * * | 0 1 0 1 0
.. xx .. xx&#x  4  4 | 2 2  4  2 0 2 | 0 1 0  2 0 2 0 0 1 0 | * * * * 9 * * * * | 0 0 1 1 0
.. .. ox3xx&#x  3  6 | 0 3  6  0 3 3 | 0 0 1  0 3 3 0 0 0 1 | * * * * * 3 * * * | 0 0 0 2 0
.o3.x .x ..     0  6 | 0 0  0  6 3 0 | 0 0 0  0 0 0 2 3 0 0 | * * * * * * 3 * * | 0 1 0 0 1
.o3.x .. .x     0  6 | 0 0  0  6 0 3 | 0 0 0  0 0 0 2 0 3 0 | * * * * * * * 3 * | 0 0 1 0 1
.. .x .x3.x     0 12 | 0 0  0  6 6 6 | 0 0 0  0 0 0 0 3 3 2 | * * * * * * * * 3 | 0 0 0 1 1
---------------+------+---------------+----------------------+-------------------+----------
o.3x. o.3x.     9  0 | 9 9  0  0 0 0 | 3 9 3  0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 | 1 * * * *
oo3xx ox ..&#x  3  6 | 3 0  6  6 3 0 | 1 0 0  6 3 0 2 3 0 0 | 0 0 2 3 0 0 1 0 0 | * 3 * * *
oo3xx .. xx&#x  6  6 | 6 3  6  6 0 3 | 2 3 0  6 0 3 2 0 3 0 | 1 0 2 0 3 0 0 1 0 | * * 3 * *
.. xx ox3xx&#x  6 12 | 3 6 12  6 6 6 | 0 3 2  6 6 6 0 3 3 2 | 0 1 0 3 3 2 0 0 1 | * * * 3 *
.o3.x .x3.x     0 18 | 0 0  0 18 9 9 | 0 0 0  0 0 0 6 9 9 3 | 0 0 0 0 0 0 3 3 3 | * * * * 1

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