Acronym tessarit
Name tesseract atop rectified tesseract
Circumradius sqrt[(11+5 sqrt(2))/12] = 1.227160
Confer
general polytopal classes:
segmentotera   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

oo3oo3ox4xo&#x   → height = sqrt[3(sqrt(2)-1)/2]  = 0.788239
(tes || rit)

o.3o.3o.4o.    | 16  *   4  4  0 |  6  6  4  0  0 | 4  4  6  0 0 | 1  1 4 0
.o3.o3.o4.o    |  * 32 |  0  2  6 |  0  6  1  6  3 | 0  6  3  2 3 | 0  2 3 1
---------------+-------+----------+----------------+--------------+---------
.. .. .. x.    |  2  0 | 32  *  * |  3  0  1  0  0 | 3  0  3  0 0 | 1  0 3 0
oo3oo3oo4oo&#x |  1  1 |  * 64  * |  0  3  1  0  0 | 0  3  3  0 0 | 0  1 3 0
.. .. .x ..    |  0  2 |  *  * 96 |  0  1  0  2  1 | 0  2  1  1 2 | 0  1 2 1
---------------+-------+----------+----------------+--------------+---------
.. .. o.4x.    |  4  0 |  4  0  0 | 24  *  *  *  * | 2  0  1  0 0 | 1  0 2 0
.. .. ox ..&#x |  1  2 |  0  2  1 |  * 96  *  *  * | 0  2  1  0 0 | 0  1 2 0
.. .. .. xo&#x |  2  1 |  1  2  0 |  *  * 32  *  * | 0  0  3  0 0 | 0  0 3 0
.. .o3.x ..    |  0  3 |  0  0  3 |  *  *  * 64  * | 0  1  0  1 1 | 0  1 1 1
.. .. .x4.o    |  0  4 |  0  0  4 |  *  *  *  * 24 | 0  0  1  0 2 | 0  0 2 1
---------------+-------+----------+----------------+--------------+---------
.. o.3o.4x.      8  0 | 12  0  0 |  6  0  0  0  0 | 8  *  *  * * | 1  0 1 0
.. oo3ox ..&#x   1  3 |  0  3  3 |  0  3  0  1  0 | * 64  *  * * | 0  1 1 0
.. .. ox4xo&#x   4  4 |  4  8  4 |  1  4  4  0  1 | *  * 24  * * | 0  0 2 0
.o3.o3.x ..      0  4 |  0  0  6 |  0  0  0  4  0 | *  *  * 16 * | 0  1 0 1
.. .o3.x4.o      0 12 |  0  0 24 |  0  0  0  8  6 | *  *  *  * 8 | 0  0 1 1
---------------+-------+----------+----------------+--------------+---------
o.3o.3o.4x.     16  0 | 32  0  0 | 24  0  0  0  0 | 8  0  0  0 0 | 1  * * *
oo3oo3ox ..&#x   1  4 |  0  4  6 |  0  6  0  4  0 | 0  4  0  1 0 | * 16 * *
.. oo3ox4xo&#x   8 12 | 12 24 24 |  6 24 12  8  6 | 1  8  6  0 1 | *  * 8 *
.o3.o3.x4.o      0 32 |  0  0 96 |  0  0  0 64 24 | 0  0  0 16 8 | *  * * 1

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