Acronym tratetpy
Name (triangle,tetrahedron)-duoprism pyramid,
vertex-pyramid of bril
Circumradius sqrt(6/7) = 0.925820
Confer
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

ox3oo ox3oo3oo&#x   → height = sqrt(7/24) = 0.540062
(pt || tratet)

o.3o. o.3o.3o.    | 1  *  12  0  0 | 12 18 0  0  0 | 4 16 12 0  0 0 | 6 12 3 0 0 | 4 3 0
.o3.o .o3.o3.o    | * 12 |  1  2  3 |  2  3 1  6  3 | 1  6  3 3  6 1 | 3  6 1 3 2 | 3 2 1
------------------+------+----------+---------------+----------------+------------+------
oo3oo oo3oo3oo&#x | 1  1 | 12  *  * |  2  3 0  0  0 | 1  6  3 0  0 0 | 3  6 1 0 0 | 3 2 0
.x .. .. .. ..    | 0  2 |  * 12  * |  1  0 1  3  0 | 1  3  0 3  3 0 | 3  3 0 3 1 | 3 1 1
.. .. .x .. ..    | 0  2 |  *  * 18 |  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 | 12  * *  *  * | 1  3  0 0  0 0 | 3  3 0 0 0 | 3 1 0
.. .. ox .. ..&#x | 1  2 |  2  0  1 |  * 18 *  *  * | 0  2  2 0  0 0 | 1  4 1 0 0 | 2 2 0
.x3.o .. .. ..    | 0  3 |  0  3  0 |  *  * 4  *  * | 1  0  0 3  0 0 | 3  0 0 3 0 | 3 0 1
.x .. .x .. ..    | 0  4 |  0  2  2 |  *  * * 18  * | 0  1  0 1  2 0 | 1  2 0 2 1 | 2 1 1
.. .. .x3.o ..    | 0  3 |  0  0  3 |  *  * *  * 12 | 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 | 4  *  * *  * * | 3  0 0 0 0 | 3 0 0
ox .. ox .. ..&#x  1  4 |  4  2  2 |  2  2 0  1  0 | * 18  * *  * * | 1  2 0 0 0 | 2 1 0
.. .. ox3oo ..&#x  1  3 |  3  0  3 |  0  3 0  0  1 | *  * 12 *  * * | 0  2 1 0 0 | 1 2 0
.x3.o .x .. ..     0  6 |  0  6  3 |  0  0 2  3  0 | *  *  * 6  * * | 1  0 0 2 0 | 2 0 1
.x .. .x3.o ..     0  6 |  0  3  6 |  0  0 0  3  2 | *  *  * * 12 * | 0  1 0 1 1 | 1 1 1
.. .. .x3.o3.o     0  4 |  0  0  6 |  0  0 0  0  4 | *  *  * *  * 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 | 6  * * * * | 2 0 0
ox .. ox3oo ..&#x  1  6 |  6  3  6 |  3  6 0  3  2 | 0  3  2 0  1 0 | * 12 * * * | 1 1 0
.. .. ox3oo3oo&#x  1  4 |  4  0  6 |  0  6 0  0  4 | 0  0  4 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 | *  * * 4 * | 1 0 1
.x .. .x3.o3.o     0  8 |  0  4 12 |  0  0 0  6  8 | 0  0  0 0  4 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 | 4 * *
ox .. ox3oo3oo&#x  1  8 |  8  4 12 |  4 12 0  6  8 | 0  6  8 0  4 2 | 0  4 2 0 1 | * 3 *
.x3.o .x3.o3.o     0 12 |  0 12 18 |  0  0 4 18 12 | 0  0  0 6 12 3 | 0  0 0 4 3 | * * 1

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