Acronym hatricu
Name hexagon-tricu duoprism,
trip-first half of haco
Circumradius sqrt(2) = 1.414214
Volume 5 sqrt(6)/4 = 3.061862
Face vector 54, 144, 147, 69, 14
Confer
uniform relative:
haco  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

ox3xx xx3xx&#x   → height = sqrt(2/3) = 0.816497
(thiddip || hiddip)

o.3o. o.3o.    | 18  * |  2 1 1  2  0  0  0  0 | 1 2 2 1  1  2  2  2 0 0 0 0 0 0 | 1 1 2 1 1 1 2 2 2 0 0 0 0 | 1 1 1 1 2 0
.o3.o .o3.o    |  * 36 |  0 0 0  1  1  1  1  1 | 0 0 0 0  1  1  1  1 1 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
---------------+-------+-----------------------+---------------------------------+---------------------------+------------
.. x. .. ..    |  2  0 | 18 * *  *  *  *  *  * | 1 1 1 0  0  1  0  0 0 0 0 0 0 0 | 1 1 1 1 0 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. x. ..    |  2  0 |  * 9 *  *  *  *  *  * | 0 2 0 1  0  0  2  0 0 0 0 0 0 0 | 1 0 2 0 1 0 2 0 2 0 0 0 0 | 1 1 0 1 2 0
.. .. .. x.    |  2  0 |  * * 9  *  *  *  *  * | 0 0 2 1  0  0  0  2 0 0 0 0 0 0 | 0 1 2 0 0 1 0 2 2 0 0 0 0 | 1 0 1 1 2 0
oo3oo oo3oo&#x |  1  1 |  * * * 36  *  *  *  * | 0 0 0 0  1  1  1  1 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x .. .. ..    |  0  2 |  * * *  * 18  *  *  * | 0 0 0 0  1  0  0  0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .x .. ..    |  0  2 |  * * *  *  * 18  *  * | 0 0 0 0  0  1  0  0 1 0 0 1 1 0 | 0 0 0 1 0 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .x ..    |  0  2 |  * * *  *  *  * 18  * | 0 0 0 0  0  0  1  0 0 1 0 1 0 1 | 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x    |  0  2 |  * * *  *  *  *  * 18 | 0 0 0 0  0  0  0  1 0 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-------+-----------------------+---------------------------------+---------------------------+------------
o.3x. .. ..    |  3  0 |  3 0 0  0  0  0  0  0 | 6 * * *  *  *  *  * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
.. x. x. ..    |  4  0 |  2 2 0  0  0  0  0  0 | * 9 * *  *  *  *  * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x.    |  4  0 |  2 0 2  0  0  0  0  0 | * * 9 *  *  *  *  * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. x.3x.    |  6  0 |  0 3 3  0  0  0  0  0 | * * * 3  *  *  *  * * * * * * * | 0 0 2 0 0 0 0 0 2 0 0 0 0 | 1 0 0 1 2 0
ox .. .. ..&#x |  1  2 |  0 0 0  2  1  0  0  0 | * * * * 18  *  *  * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xx .. ..&#x |  2  2 |  1 0 0  2  0  1  0  0 | * * * *  * 18  *  * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. xx ..&#x |  2  2 |  0 1 0  2  0  0  1  0 | * * * *  *  * 18  * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x |  2  2 |  0 0 1  2  0  0  0  1 | * * * *  *  *  * 18 * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.x .. ..    |  0  6 |  0 0 0  0  3  3  0  0 | * * * *  *  *  *  * 6 * * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .x ..    |  0  4 |  0 0 0  0  2  0  2  0 | * * * *  *  *  *  * * 9 * * * * | 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x    |  0  4 |  0 0 0  0  2  0  0  2 | * * * *  *  *  *  * * * 9 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x .x ..    |  0  4 |  0 0 0  0  0  2  2  0 | * * * *  *  *  *  * * * * 9 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x    |  0  4 |  0 0 0  0  0  2  0  2 | * * * *  *  *  *  * * * * * 9 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x3.x    |  0  6 |  0 0 0  0  0  0  3  3 | * * * *  *  *  *  * * * * * * 6 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+-----------------------+---------------------------------+---------------------------+------------
o.3x. x. ..      6  0 |  6 3 0  0  0  0  0  0 | 2 3 0 0  0  0  0  0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * | 1 1 0 0 0 0
o.3x. .. x.      6  0 |  6 0 3  0  0  0  0  0 | 2 0 3 0  0  0  0  0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * | 1 0 1 0 0 0
.. x. x.3x.     12  0 |  6 6 6  0  0  0  0  0 | 0 3 3 2  0  0  0  0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * | 1 0 0 0 1 0
ox3xx .. ..&#x   3  6 |  3 0 0  6  3  3  0  0 | 1 0 0 0  3  3  0  0 1 0 0 0 0 0 | * * * 6 * * * * * * * * * | 0 1 1 0 0 0
ox .. xx ..&#x   2  4 |  0 1 0  4  2  0  2  0 | 0 0 0 0  2  0  2  0 0 1 0 0 0 0 | * * * * 9 * * * * * * * * | 0 1 0 1 0 0
ox .. .. xx&#x   2  4 |  0 0 1  4  2  0  0  2 | 0 0 0 0  2  0  0  2 0 0 1 0 0 0 | * * * * * 9 * * * * * * * | 0 0 1 1 0 0
.. xx xx ..&#x   4  4 |  2 2 0  4  0  2  2  0 | 0 1 0 0  0  2  2  0 0 0 0 1 0 0 | * * * * * * 9 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x   4  4 |  2 0 2  4  0  2  0  2 | 0 0 1 0  0  2  0  2 0 0 0 0 1 0 | * * * * * * * 9 * * * * * | 0 0 1 0 1 0
.. .. xx3xx&#x   6  6 |  0 3 3  6  0  0  3  3 | 0 0 0 1  0  0  3  3 0 0 0 0 0 1 | * * * * * * * * 6 * * * * | 0 0 0 1 1 0
.x3.x .x ..      0 12 |  0 0 0  0  6  6  6  0 | 0 0 0 0  0  0  0  0 2 3 0 3 0 0 | * * * * * * * * * 3 * * * | 0 1 0 0 0 1
.x3.x .. .x      0 12 |  0 0 0  0  6  6  0  6 | 0 0 0 0  0  0  0  0 2 0 3 0 3 0 | * * * * * * * * * * 3 * * | 0 0 1 0 0 1
.x .. .x3.x      0 12 |  0 0 0  0  6  0  6  6 | 0 0 0 0  0  0  0  0 0 3 3 0 0 2 | * * * * * * * * * * * 3 * | 0 0 0 1 0 1
.. .x .x3.x      0 12 |  0 0 0  0  0  6  6  6 | 0 0 0 0  0  0  0  0 0 0 0 3 3 2 | * * * * * * * * * * * * 3 | 0 0 0 0 1 1
---------------+-------+-----------------------+---------------------------------+---------------------------+------------
o.3x. x.3x.     18  0 | 18 9 9  0  0  0  0  0 | 6 9 9 3  0  0  0  0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
ox3xx xx ..&#x   6 12 |  6 3 0 12  6  6  6  0 | 2 3 0 0  6  6  6  0 2 3 0 3 0 0 | 1 0 0 2 3 0 3 0 0 1 0 0 0 | * 3 * * * *
ox3xx .. xx&#x   6 12 |  6 0 3 12  6  6  0  6 | 2 0 3 0  6  6  0  6 2 0 3 0 3 0 | 0 1 0 2 0 3 0 3 0 0 1 0 0 | * * 3 * * *
ox .. xx3xx&#x   6 12 |  0 3 3 12  6  0  6  6 | 0 0 0 1  6  0  6  6 0 3 3 0 0 2 | 0 0 0 0 3 3 0 0 2 0 0 1 0 | * * * 3 * *
.. xx xx3xx&#x  12 12 |  6 6 6 12  0  6  6  6 | 0 3 3 2  0  6  6  6 0 0 0 3 3 2 | 0 0 1 0 0 0 3 3 2 0 0 0 1 | * * * * 3 *
.x3.x .x3.x      0 36 |  0 0 0  0 18 18 18 18 | 0 0 0 0  0  0  0  0 6 9 9 9 9 6 | 0 0 0 0 0 0 0 0 0 3 3 3 3 | * * * * * 1

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