Acronym troctpy
Name troct pyramid,
vertex pyramid of brag
Circumradius sqrt(3/2) = 1.224745
Face vector 19, 72, 120, 105, 50, 12
Confer
uniform relative:
brag  
general polytopal classes:
segmentopeta   lace simplices  

Incidence matrix according to Dynkin symbol

ox3oo ox3oo4oo&#x   → height = 1/sqrt(6) = 0.408248

o.3o. o.3o.4o.    | 1  *  18  0  0 | 18 36 0  0  0 | 6 36 24  0  0 0 | 12 24 3 0 0 | 8 3 0
.o3.o .o3.o4.o    | * 18 |  1  2  4 |  2  4 1  8  4 | 1  8  4  4  8 1 |  4  8 1 4 2 | 4 2 1
------------------+------+----------+---------------+-----------------+-------------+------
oo3oo oo3oo4oo&#x | 1  1 | 18  *  * |  2  4 0  0  0 | 1  8  4  0  0 0 |  4  8 1 0 0 | 4 2 0
.x .. .. .. ..    | 0  2 |  * 18  * |  1  0 1  4  0 | 1  4  0  4  4 0 |  4  4 0 4 1 | 4 1 1
.. .. .x .. ..    | 0  2 |  *  * 36 |  0  1 0  2  2 | 0  2  2  1  4 1 |  1  4 1 2 2 | 2 2 1
------------------+------+----------+---------------+-----------------+-------------+------
ox .. .. .. ..&#x | 1  2 |  2  1  0 | 18  * *  *  * | 1  4  0  0  0 0 |  4  4 0 0 0 | 4 1 0
.. .. ox .. ..&#x | 1  2 |  2  0  1 |  * 36 *  *  * | 0  2  2  0  0 0 |  1  4 1 0 0 | 2 2 0
.x3.o .. .. ..    | 0  3 |  0  3  0 |  *  * 6  *  * | 1  0  0  4  0 0 |  4  0 0 4 0 | 4 0 1
.x .. .x .. ..    | 0  4 |  0  2  2 |  *  * * 36  * | 0  1  0  1  2 0 |  1  2 0 2 1 | 2 1 1
.. .. .x3.o ..    | 0  3 |  0  0  3 |  *  * *  * 24 | 0  0  1  0  2 1 |  0  2 1 1 2 | 1 2 1
------------------+------+----------+---------------+-----------------+-------------+------
ox3oo .. .. ..&#x  1  3 |  3  3  0 |  3  0 1  0  0 | 6  *  *  *  * * |  4  0 0 0 0 | 4 0 0
ox .. ox .. ..&#x  1  4 |  4  2  2 |  2  2 0  1  0 | * 36  *  *  * * |  1  2 0 0 0 | 2 1 0
.. .. ox3oo ..&#x  1  3 |  3  0  3 |  0  3 0  0  1 | *  * 24  *  * * |  0  2 1 0 0 | 1 2 0
.x3.o .x .. ..     0  6 |  0  6  3 |  0  0 2  3  0 | *  *  * 12  * * |  1  0 0 2 0 | 2 0 1
.x .. .x3.o ..     0  6 |  0  3  6 |  0  0 0  3  2 | *  *  *  * 24 * |  0  1 0 1 1 | 1 1 1
.. .. .x3.o4.o     0  6 |  0  0 12 |  0  0 0  0  8 | *  *  *  *  * 3 |  0  0 1 0 2 | 0 2 1
------------------+------+----------+---------------+-----------------+-------------+------
ox3oo ox .. ..&#x  1  6 |  6  6  3 |  6  3 2  3  0 | 2  3  0  1  0 0 | 12  * * * * | 2 0 0
ox .. ox3oo ..&#x  1  6 |  6  3  6 |  3  6 0  3  2 | 0  3  2  0  1 0 |  * 24 * * * | 1 1 0
.. .. ox3oo4oo&#x  1  6 |  6  0 12 |  0 12 0  0  8 | 0  0  8  0  0 1 |  *  * 3 * * | 0 2 0
.x3.o .x3.o ..     0  9 |  0  9  9 |  0  0 3  9  3 | 0  0  0  3  3 0 |  *  * * 8 * | 1 0 1
.x .. .x3.o4.o     0 12 |  0  6 24 |  0  0 0 12 16 | 0  0  0  0  8 2 |  *  * * * 3 | 0 1 1
------------------+------+----------+---------------+-----------------+-------------+------
ox3oo ox3oo ..&#x  1  9 |  9  9  9 |  9  9 3  9  3 | 3  9  3  3  3 0 |  3  3 0 1 0 | 8 * *
ox .. ox3oo4oo&#x  1 12 | 12  6 24 |  6 24 0 12 16 | 0 12 16  0  8 2 |  0  8 2 0 1 | * 3 *
.x3.o .x3.o4.o     0 18 |  0 18 36 |  0  0 6 36 24 | 0  0  0 12 24 3 |  0  0 0 8 3 | * * 1

ox3oo oo3ox3oo&#x   → height = 1/sqrt(6) = 0.408248

o.3o. o.3o.3o.    | 1  *  18  0  0 | 18 36 0  0  0  0 | 6 36 12 12  0  0  0 0 | 12 12 12 3 0 0 0 | 4 4 3 0
.o3.o .o3.o3.o    | * 18 |  1  2  4 |  2  4 1  8  2  2 | 1  8  2  2  4  4  4 1 |  4  4  4 1 2 2 2 | 2 2 2 1
------------------+------+----------+------------------+-----------------------+------------------+--------
oo3oo oo3oo3oo&#x | 1  1 | 18  *  * |  2  4 0  0  0  0 | 1  8  2  2  0  0  0 0 |  4  4  4 1 0 0 0 | 2 2 2 0
.x .. .. .. ..    | 0  2 |  * 18  * |  1  0 1  4  0  0 | 1  4  0  0  4  2  2 0 |  4  2  2 0 2 2 1 | 2 2 1 1
.. .. .. .x ..    | 0  2 |  *  * 36 |  0  1 0  2  1  1 | 0  2  1  1  1  2  2 1 |  1  2  2 1 1 1 2 | 1 1 2 1
------------------+------+----------+------------------+-----------------------+------------------+--------
ox .. .. .. ..&#x | 1  2 |  2  1  0 | 18  * *  *  *  * | 1  4  0  0  0  0  0 0 |  4  2  2 0 0 0 0 | 2 2 1 0
.. .. .. ox ..&#x | 1  2 |  2  0  1 |  * 36 *  *  *  * | 0  2  1  1  0  0  0 0 |  1  2  2 1 0 0 0 | 1 1 2 0
.x3.o .. .. ..    | 0  3 |  0  3  0 |  *  * 6  *  *  * | 1  0  0  0  4  0  0 0 |  4  0  0 0 2 2 0 | 2 2 0 1
.x .. .. .x ..    | 0  4 |  0  2  2 |  *  * * 36  *  * | 0  1  0  0  1  1  1 0 |  1  1  1 0 1 1 1 | 2 2 1 1
.. .. .o3.x ..    | 0  3 |  0  0  3 |  *  * *  * 12  * | 0  0  1  0  0  2  0 1 |  0  2  0 1 1 0 2 | 1 0 2 1
.. .. .. .x3.o    | 0  3 |  0  0  3 |  *  * *  *  * 12 | 0  0  0  1  0  0  2 1 |  0  0  2 1 0 1 2 | 0 1 2 1
------------------+------+----------+------------------+-----------------------+------------------+--------
ox3oo .. .. ..&#x  1  3 |  3  3  0 |  3  0 1  0  0  0 | 6  *  *  *  *  *  * * |  4  0  0 0 0 0 0 | 2 2 0 0
ox .. .. ox ..&#x  1  4 |  4  2  2 |  2  2 0  1  0  0 | * 36  *  *  *  *  * * |  1  1  1 0 0 0 0 | 1 1 1 0
.. .. oo3ox ..&#x  1  3 |  3  0  3 |  0  3 0  0  1  0 | *  * 12  *  *  *  * * |  0  2  0 1 0 0 0 | 1 0 2 0
.. .. .. ox3oo&#x  1  3 |  3  0  3 |  0  3 0  0  0  1 | *  *  * 12  *  *  * * |  0  0  2 1 0 0 0 | 0 1 2 0
.x3.o .. .x ..     0  6 |  0  6  3 |  0  0 2  3  0  0 | *  *  *  * 12  *  * * |  1  0  0 0 1 1 0 | 1 1 0 1
.x .. .o3.x ..     0  6 |  0  3  6 |  0  0 0  3  2  0 | *  *  *  *  * 12  * * |  0  1  0 0 1 0 1 | 1 0 1 1
.x .. ... x3.o     0  6 |  0  3  6 |  0  0 0  3  0  2 | *  *  *  *  *  * 12 * |  0  0  1 0 0 1 1 | 0 1 1 1
.. .. .o3.x3.o     0  6 |  0  0 12 |  0  0 0  0  4  4 | *  *  *  *  *  *  * 3 |  0  0  0 1 0 0 2 | 0 0 2 1
------------------+------+----------+------------------+-----------------------+------------------+--------
ox3oo .. ox ..&#x  1  6 |  6  6  3 |  6  3 2  3  0  0 | 2  3  0  0  1  0  0 0 | 12  *  * * * * * | 1 1 0 0
ox .. oo3ox ..&#x  1  6 |  6  3  6 |  3  6 0  3  2  0 | 0  3  2  0  0  1  0 0 |  * 12  * * * * * | 1 0 1 0
ox .. .. ox3oo&#x  1  6 |  6  3  6 |  3  6 0  3  0  2 | 0  3  0  2  0  0  1 0 |  *  * 12 * * * * | 0 1 1 0
.. .. oo3ox3oo&#x  1  6 |  6  0 12 |  0 12 0  0  4  4 | 0  0  4  4  0  0  0 1 |  *  *  * 3 * * * | 0 0 2 0
.x3.o .o3.x ..     0  9 |  0  9  9 |  0  0 3  9  3  0 | 0  0  0  0  3  3  0 0 |  *  *  * * 4 * * | 1 0 0 1
.x3.o .. .x3.o     0  9 |  0  9  9 |  0  0 3  9  0  3 | 0  0  0  0  3  0  3 0 |  *  *  * * * 4 * | 0 1 0 1
.x .. .o3.x3.o     0 12 |  0  6 24 |  0  0 0 12  8  8 | 0  0  0  0  0  4  4 2 |  *  *  * * * * 3 | 0 0 1 1
------------------+------+----------+------------------+-----------------------+------------------+--------
ox3oo oo3ox ..&#x  1  9 |  9  9  9 |  9  9 3  9  3  0 | 3  9  3  0  3  3  0 0 |  3  3  0 0 1 0 0 | 4 * * *
ox3oo .. ox3oo&#x  1  9 |  9  9  9 |  9  9 3  9  0  3 | 3  9  0  3  3  0  3 0 |  3  0  3 0 0 1 0 | * 4 * *
ox .. oo3ox3oo&#x  1 12 | 12  6 24 |  6 24 0 12  8  8 | 0 12  8  8  0  4  4 2 |  0  4  4 2 0 0 1 | * * 3 *
.x3.o .o3.x3.o     0 18 |  0 18 36 |  0  0 6 36 12 12 | 0  0  0  0 12 12 12 3 |  0  0  0 0 4 4 3 | * * * 1

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