Acronym tetal tratet
Name tetrahedron atop alternate triangle,tetrahedron-duoprism
Circumradius sqrt(3)/2 = 0.866025
Confer
general polytopal classes:
segmentopeta  

This segmentopeton with inverted alignment can be blended at its larger base with the non-inverted one (tetdip) in order to produce a bistratic stack, which still happens to be orbiform (oxo3ooo oxx3ooo3xoo&#xt).


Incidence matrix according to Dynkin symbol

ox3oo xo3oo3ox&#x   → height = 1/sqrt(6) = 0.408248
(tet || inv tratet)

o.3o. o.3o.3o.    | 4  * | 3  9  0  0 | 3  9 18  9 0  0  0 | 1  3 18  9  9  9  3 0  0 0 |  6  3  9  9  3 3 0 0 | 3 3 1 3 0
.o3.o .o3.o3.o    | * 12 | 0  3  2  3 | 0  6  3  6 1  6  3 | 0  3  6 12  1  3  3 3  6 1 |  3  6  2  6  6 1 3 2 | 1 3 3 2 1
------------------+------+------------+--------------------+----------------------------+----------------------+----------
.. .. x. .. ..    | 2  0 | 6  *  *  * | 2  0  6  0 0  0  0 | 1  0  6  0  6  3  0 0  0 0 |  2  0  6  3  0 3 0 0 | 2 1 0 3 0
oo3oo oo3oo3oo&#x | 1  1 | * 36  *  * | 0  2  2  2 0  0  0 | 0  1  4  4  1  2  1 0  0 0 |  2  2  2  4  2 1 0 0 | 1 2 1 2 0
.x .. .. .. ..    | 0  2 | *  * 12  * | 0  3  0  0 1  3  0 | 0  3  3  6  0  0  0 3  3 0 |  3  6  1  3  3 0 3 1 | 1 3 3 1 1
.. .. .. .. .x    | 0  2 | *  *  * 18 | 0  0  0  2 0  2  2 | 0  0  0  4  0  1  2 1  4 1 |  0  2  0  2  4 1 2 2 | 0 1 2 2 1
------------------+------+------------+--------------------+----------------------------+----------------------+----------
.. .. x.3o. ..    | 3  0 | 3  0  0  0 | 4  *  *  * *  *  * | 1  0  0  0  3  0  0 0  0 0 |  0  0  3  0  0 3 0 0 | 1 0 0 3 0
ox .. .. .. ..&#x | 1  2 | 0  2  1  0 | * 36  *  * *  *  * | 0  1  2  2  0  0  0 0  0 0 |  2  2  1  2  1 0 0 0 | 1 2 1 1 0
.. .. xo .. ..&#x | 2  1 | 1  2  0  0 | *  * 36  * *  *  * | 0  0  2  0  1  1  0 0  0 0 |  1  0  2  2  0 1 0 0 | 1 1 0 2 0
.. .. .. .. ox&#x | 1  2 | 0  2  0  1 | *  *  * 36 *  *  * | 0  0  0  2  0  1  1 0  0 0 |  0  1  0  2  2 1 0 0 | 0 1 1 2 0
.x3.o .. .. ..    | 0  3 | 0  0  3  0 | *  *  *  * 4  *  * | 0  3  0  0  0  0  0 3  0 0 |  3  6  0  0  0 0 3 0 | 1 3 3 0 1
.x .. .. .. .x    | 0  4 | 0  0  2  2 | *  *  *  * * 18  * | 0  0  0  2  0  0  0 1  2 0 |  0  2  0  1  2 0 2 1 | 0 1 2 1 1
.. .. .. .o3.x    | 0  3 | 0  0  0  3 | *  *  *  * *  * 12 | 0  0  0  0  0  0  1 0  2 1 |  0  0  0  0  2 1 1 2 | 0 0 1 2 1
------------------+------+------------+--------------------+----------------------------+----------------------+----------
.. .. x.3o.3o.     4  0 | 6  0  0  0 | 4  0  0  0 0  0  0 | 1  *  *  *  *  *  * *  * * |  0  0  0  0  0 3 0 0 | 0 0 0 3 0
ox3oo .. .. ..&#x  1  3 | 0  3  3  0 | 0  3  0  0 1  0  0 | * 12  *  *  *  *  * *  * * |  2  2  0  0  0 0 0 0 | 1 2 1 0 0
ox .. xo .. ..&#x  2  2 | 1  4  1  0 | 0  2  2  0 0  0  0 | *  * 36  *  *  *  * *  * * |  1  0  1  1  0 0 0 0 | 1 1 0 1 0
ox .. .. .. ox&#x  1  4 | 0  4  2  2 | 0  2  0  2 0  1  0 | *  *  * 36  *  *  * *  * * |  0  1  0  1  1 0 0 0 | 0 1 1 1 0
.. .. xo3oo ..&#x  3  1 | 3  3  0  0 | 1  0  3  0 0  0  0 | *  *  *  * 12  *  * *  * * |  0  0  2  0  0 1 0 0 | 1 0 0 2 0
.. .. xo .. ox&#x  2  2 | 1  4  0  1 | 0  0  2  2 0  0  0 | *  *  *  *  * 18  * *  * * |  0  0  0  2  0 1 0 0 | 0 1 0 2 0
.. .. .. oo3ox&#x  1  3 | 0  3  0  3 | 0  0  0  3 0  0  1 | *  *  *  *  *  * 12 *  * * |  0  0  0  0  2 1 0 0 | 0 0 1 2 0
.x3.o .. .. .x     0  6 | 0  0  6  3 | 0  0  0  0 2  3  0 | *  *  *  *  *  *  * 6  * * |  0  2  0  0  0 0 2 0 | 0 1 2 0 1
.x .. .. .o3.x     0  6 | 0  0  3  6 | 0  0  0  0 0  3  2 | *  *  *  *  *  *  * * 12 * |  0  0  0  0  1 0 1 1 | 0 0 1 1 1
.. .. .o3.o3.x     0  4 | 0  0  0  6 | 0  0  0  0 0  0  4 | *  *  *  *  *  *  * *  * 3 |  0  0  0  0  0 1 0 2 | 0 0 0 2 1
------------------+------+------------+--------------------+----------------------------+----------------------+----------
ox3oo xo .. ..&#x  2  3 | 1  6  3  0 | 0  6  3  0 1  0  0 | 0  2  3  0  0  0  0 0  0 0 | 12  *  *  *  * * * * | 1 1 0 0 0
ox3oo .. .. ox&#x  1  6 | 0  6  6  3 | 0  6  0  3 2  3  0 | 0  2  0  3  0  0  0 1  0 0 |  * 12  *  *  * * * * | 0 1 1 0 0
ox .. xo3oo ..&#x  3  2 | 3  6  1  0 | 1  3  6  0 0  0  0 | 0  0  3  0  2  0  0 0  0 0 |  *  * 12  *  * * * * | 1 0 0 1 0
ox .. xo .. ox&#x  2  4 | 1  8  2  2 | 0  4  4  4 0  1  0 | 0  0  2  2  0  2  0 0  0 0 |  *  *  * 18  * * * * | 0 1 0 1 0
ox .. .. oo3ox&#x  1  6 | 0  6  3  6 | 0  3  0  6 0  3  2 | 0  0  0  3  0  0  2 0  1 0 |  *  *  *  * 12 * * * | 0 0 1 1 0
.. .. xo3oo3ox&#x  4  4 | 6 12  0  6 | 4  0 12 12 0  0  4 | 1  0  0  0  4  6  4 0  0 1 |  *  *  *  *  * 3 * * | 0 0 0 2 0
.x3.o .. .o3.x     0  9 | 0  0  9  9 | 0  0  0  0 3  9  3 | 0  0  0  0  0  0  0 3  3 0 |  *  *  *  *  * * 4 * | 0 0 1 0 1
.x .. .o3.o3.x     0  8 | 0  0  4 12 | 0  0  0  0 0  6  8 | 0  0  0  0  0  0  0 0  4 2 |  *  *  *  *  * * * 3 | 0 0 0 1 1
------------------+------+------------+--------------------+----------------------------+----------------------+----------
ox3oo xo3oo ..&#x  3  3 | 3  9  3  0 | 1  9  9  0 1  0  0 | 0  3  9  0  3  0  0 0  0 0 |  3  0  3  0  0 0 0 0 | 4 * * * *
ox3oo xo .. ox&#x  2  6 | 1 12  6  3 | 0 12  6  6 2  3  0 | 0  4  6  6  0  3  0 1  0 0 |  2  2  0  3  0 0 0 0 | * 6 * * *
ox3oo .. oo3ox&#x  1  9 | 0  9  9  9 | 0  9  0  9 3  9  3 | 0  3  0  9  0  0  3 3  3 0 |  0  3  0  0  3 0 1 0 | * * 4 * *
ox .. xo3oo3ox&#x  4  8 | 6 24  4 12 | 4 12 24 24 0  6  8 | 1  0 12 12  8 12  8 0  4 2 |  0  0  4  6  4 2 0 1 | * * * 3 *
.x3.o .o3.o3.x     0 12 | 0  0 12 18 | 0  0  0  0 4 18 12 | 0  0  0  0  0  0  0 6 12 3 |  0  0  0  0  0 0 4 3 | * * * * 1

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