Acronym tratetdafup
Name triangular-tetrahedral duoantifastegiaprism,
tratet atop bidual tratet
Circumradius sqrt(3)/2 = 0.866025
Confer
general polytopal classes:
scaliform   segmentopeta  

Incidence matrix according to Dynkin symbol

xo3ox xo3oo3ox&#x   → height = 1/sqrt(6) = 0.408248
(tratet || bidual tratet)

o.3o. o.3o.3o.    & | 24 |  2  3  6 | 1  6  3  9  18 |  3  6 1  3 15 12  8  6 | 3 2  9  7  9  5 2 | 1 4 3 3
--------------------+----+----------+----------------+------------------------+-------------------+--------
x. .. .. .. ..    & |  2 | 24  *  * | 1  3  0  3   0 |  3  3 0  3  6  3  0  0 | 3 1  9  3  3  1 0 | 1 4 3 1
.. .. x. .. ..    & |  2 |  * 36  * | 0  2  2  0   4 |  1  4 1  0  4  2  4  2 | 2 2  2  4  3  2 2 | 1 2 1 3
oo3oo oo3oo3oo&#x   |  2 |  *  * 72 | 0  0  0  2   4 |  0  0 0  1  4  4  2  2 | 0 0  4  2  4  2 1 | 0 2 2 2
--------------------+----+----------+----------------+------------------------+-------------------+--------
x.3o. .. .. ..    & |  3 |  3  0  0 | 8  *  *  *   * |  3  0 0  3  0  0  0  0 | 3 0  9  0  0  0 0 | 1 4 3 0
x. .. x. .. ..    & |  4 |  2  2  0 | * 36  *  *   * |  1  2 0  0  2  0  0  0 | 2 1  2  2  1  0 0 | 1 2 1 1
.. .. x.3o. ..    & |  3 |  0  3  0 | *  * 24  *   * |  0  2 1  0  0  0  2  0 | 1 2  0  2  0  1 2 | 1 1 0 3
xo .. .. .. ..&#x & |  3 |  1  0  2 | *  *  * 72   * |  0  0 0  1  2  2  0  0 | 0 0  4  1  2  1 0 | 0 2 2 1
.. .. xo .. ..&#x & |  3 |  0  1  2 | *  *  *  * 144 |  0  0 0  0  1  1  1  1 | 0 0  1  1  2  1 1 | 0 1 1 2
--------------------+----+----------+----------------+------------------------+-------------------+--------
x.3o. 3. .. ..    &   6 |  6  3  0 | 2  3  0  0   0 | 12  * *  *  *  *  *  * | 2 0  2  0  0  0 0 | 1 2 1 0
x. .. x.3o. ..    &   6 |  3  6  0 | 0  3  2  0   0 |  * 24 *  *  *  *  *  * | 1 1  0  1  0  0 0 | 1 1 0 1
.. .. x.3o.3o.    &   4 |  0  6  0 | 0  0  4  0   0 |  *  * 6  *  *  *  *  * | 0 2  0  0  0  0 2 | 1 0 0 3
xo3ox .. .. ..&#x     6 |  6  0  6 | 2  0  0  6   0 |  *  * * 12  *  *  *  * | 0 0  4  0  0  0 0 | 0 2 2 0
xo .. xo .. ..&#x &   5 |  2  2  4 | 0  1  0  2   2 |  *  * *  * 72  *  *  * | 0 0  1  1  1  0 0 | 0 1 1 1
xo .. .. .. ox&#x &   4 |  1  1  4 | 0  0  0  2   2 |  *  * *  *  * 72  *  * | 0 0  1  0  1  1 0 | 0 1 1 1
.. .. xo3oo ..&#x &   4 |  0  3  3 | 0  0  1  0   3 |  *  * *  *  *  * 48  * | 0 0  0  1  0  1 1 | 0 1 0 2
.. .. xo .. ox&#x     4 |  0  2  4 | 0  0  0  0   4 |  *  * *  *  *  *  * 36 | 0 0  0  0  2  0 1 | 0 0 1 2
--------------------+----+----------+----------------+------------------------+-------------------+--------
x.3o. x.3o. ..    &   9 |  9  9  0 | 3  9  3  0   0 |  3  3 0  0  0  0  0  0 | 8 *  *  *  *  * * | 1 1 0 0
x. .. x.3o.3o.    &   8 |  4 12  0 | 0  6  8  0   0 |  0  4 2  0  0  0  0  0 | * 6  *  *  *  * * | 1 0 0 1
xo3ox xo .. ..&#x &   9 |  9  3 12 | 3  3  0 12   6 |  1  0 0  2  3  3  0  0 | * * 24  *  *  * * | 0 1 1 0
xo .. xo3oo ..&#x &   7 |  3  6  6 | 0  3  2  3   6 |  0  1 0  0  3  0  2  0 | * *  * 24  *  * * | 0 1 0 1
xo .. xo .. ox&#x &   6 |  2  3  8 | 0  1  0  4   8 |  0  0 0  0  2  2  0  2 | * *  *  * 36  * * | 0 0 1 1
xo .. .. oo3ox&#x &   5 |  1  3  6 | 0  0  1  3   6 |  0  0 0  0  0  3  2  0 | * *  *  *  * 24 * | 0 1 0 1
.. .. xo3oo3ox&#x     8 |  0 12 12 | 0  0  8  0  24 |  0  0 2  0  0  0  8  6 | * *  *  *  *  * 6 | 0 0 0 2
--------------------+----+----------+----------------+------------------------+-------------------+--------
x.3o. x.3o.3o.    &  12 | 12 18  0 | 4 18 12  0   0 |  6 12 3  0  0  0  0  0 | 4 3  0  0  0  0 0 | 2 * * *
xo3ox xo3oo ..&#x &  12 | 12  9 18 | 4  9  3 18  18 |  3  3 0  3  9  9  6  0 | 1 0  3  3  0  3 0 | * 8 * *
xo3ox xo .. ox&#x    12 | 12  6 24 | 4  6  0 24  24 |  2  0 0  4 12 12  0  6 | 0 0  4  0  6  0 0 | * * 6 *
xo .. xo3oo3ox&#x &  12 |  4 18 24 | 0  6 12 12  48 |  0  4 3  0 12 12 16 12 | 0 1  0  4  6  4 2 | * * * 6

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