Acronym rita sidpith, rit || sidpith
Name rectified-tesseract atop small-disprismated-tesseractihexadecachoron
Circumradius sqrt[(11+5 sqrt(2))/8] = 1.502958
Lace city
in approx. ASCII-art
     o3x4o   o3o4q   o3x4o     
                               
                               
o3o4x   x3o4x     x3o4x   o3o4x
Confer
general polytopal classes:
segmentotera   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3oo3xo4ox&#x   → height = sqrt[sqrt(2)-1] = 0.643594
(rit || sidpith)

o.3o.3o.4o.    | 32  * |  6   6  0  0 |  6  3   6  12  3  0  0  0 |  2 3  2  6  3  6  6  0  0  0 0 | 1  2  1  3 3 0
.o3.o3.o4.o    |  * 64 |  0   3  3  3 |  0  0   6   3  3  3  6  3 |  0 0  3  3  6  1  3  1  3  3 1 | 0  1  3  3 1 1
---------------+-------+--------------+---------------------------+--------------------------------+---------------
.. .. x. ..    |  2  0 | 96   *  *  * |  2  1   0   2  0  0  0  0 |  1 2  0  1  0  2  2  0  0  0 0 | 1  1  0  1 2 0
oo3oo3oo4oo&#x |  1  1 |  * 192  *  * |  0  0   2   2  1  0  0  0 |  0 0  1  2  2  1  2  0  0  0 0 | 0  1  1  2 1 0
.x .. .. ..    |  0  2 |  *   * 96  * |  0  0   2   0  0  2  2  0 |  0 0  2  1  2  0  0  1  2  1 0 | 0  1  2  1 0 1
.. .. .. .x    |  0  2 |  *   *  * 96 |  0  0   0   0  1  0  2  2 |  0 0  0  0  2  0  2  0  1  2 1 | 0  0  1  2 1 1
---------------+-------+--------------+---------------------------+--------------------------------+---------------
.. o.3x. ..    |  3  0 |  3   0  0  0 | 64  *   *   *  *  *  *  * |  1 1  0  0  0  1  0  0  0  0 0 | 1  1  0  0 1 0
.. .. x.4o.    |  4  0 |  4   0  0  0 |  * 24   *   *  *  *  *  * |  0 2  0  0  0  0  2  0  0  0 0 | 1  0  0  1 2 0
ox .. .. ..&#x |  1  2 |  0   2  1  0 |  *  * 192   *  *  *  *  * |  0 0  1  1  1  0  0  0  0  0 0 | 0  1  1  1 0 0
.. .. xo ..&#x |  2  1 |  1   2  0  0 |  *  *   * 192  *  *  *  * |  0 0  0  1  0  1  1  0  0  0 0 | 0  1  0  1 1 0
.. .. .. ox&#x |  1  2 |  0   2  0  1 |  *  *   *   * 96  *  *  * |  0 0  0  0  2  0  2  0  0  0 0 | 0  0  1  2 1 0
.x3.o .. ..    |  0  3 |  0   0  3  0 |  *  *   *   *  * 64  *  * |  0 0  1  0  0  0  0  1  1  0 0 | 0  1  1  0 0 1
.x .. .. .x    |  0  4 |  0   0  2  2 |  *  *   *   *  *  * 96  * |  0 0  0  0  1  0  0  0  1  1 0 | 0  0  1  1 0 1
.. .. .o4.x    |  0  4 |  0   0  0  4 |  *  *   *   *  *  *  * 48 |  0 0  0  0  0  0  1  0  0  1 1 | 0  0  0  1 1 1
---------------+-------+--------------+---------------------------+--------------------------------+---------------
o.3o.3x. ..      4  0 |  6   0  0  0 |  4  0   0   0  0  0  0  0 | 16 *  *  *  *  *  *  *  *  * * | 1  1  0  0 0 0
.. o.3x.4o.     12  0 | 24   0  0  0 |  8  6   0   0  0  0  0  0 |  * 8  *  *  *  *  *  *  *  * * | 1  0  0  0 1 0
ox3oo .. ..&#x   1  3 |  0   3  3  0 |  0  0   3   0  0  1  0  0 |  * * 64  *  *  *  *  *  *  * * | 0  1  1  0 0 0
ox .. xo ..&#x   2  2 |  1   4  1  0 |  0  0   2   2  0  0  0  0 |  * *  * 96  *  *  *  *  *  * * | 0  1  0  1 0 0
ox .. .. ox&#x   1  4 |  0   4  2  2 |  0  0   2   0  2  0  1  0 |  * *  *  * 96  *  *  *  *  * * | 0  0  1  1 0 0
.. oo3xo ..&#x   3  1 |  3   3  0  0 |  1  0   0   3  0  0  0  0 |  * *  *  *  * 64  *  *  *  * * | 0  1  0  0 1 0
.. .. xo4ox&#x   4  4 |  4   8  0  4 |  0  1   0   4  4  0  0  1 |  * *  *  *  *  * 48  *  *  * * | 0  0  0  1 1 0
.x3.o3.o ..      0  4 |  0   0  6  0 |  0  0   0   0  0  4  0  0 |  * *  *  *  *  *  * 16  *  * * | 0  1  0  0 0 1
.x3.o .. .x      0  6 |  0   0  6  3 |  0  0   0   0  0  2  3  0 |  * *  *  *  *  *  *  * 32  * * | 0  0  1  0 0 1
.x .. .o4.x      0  8 |  0   0  4  8 |  0  0   0   0  0  0  4  2 |  * *  *  *  *  *  *  *  * 24 * | 0  0  0  1 0 1
.. .o3.o4.x      0  8 |  0   0  0 12 |  0  0   0   0  0  0  0  6 |  * *  *  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
---------------+-------+--------------+---------------------------+--------------------------------+---------------
o.3o.3x.4o.     32  0 | 96   0  0  0 | 64 24   0   0  0  0  0  0 | 16 8  0  0  0  0  0  0  0  0 0 | 1  *  *  * * *
ox3oo3xo ..&#x   4  4 |  6  12  6  0 |  4  0  12  12  0  4  0  0 |  1 0  4  6  0  4  0  1  0  0 0 | * 16  *  * * *
ox3oo .. ox&#x   1  6 |  0   6  6  3 |  0  0   6   0  3  2  3  0 |  0 0  2  0  3  0  0  0  1  0 0 | *  * 32  * * *
ox .. xo4ox&#x   4  8 |  4  16  4  8 |  0  1   8   8  8  0  4  2 |  0 0  0  4  4  0  2  0  0  1 0 | *  *  * 24 * *
.. oo3xo4ox&#x  12  8 | 24  24  0 12 |  8  6   0  24 12  0  0  6 |  0 1  0  0  0  8  6  0  0  0 1 | *  *  *  * 8 *
.x3.o3.o4.x      0 64 |  0   0 96 96 |  0  0   0   0  0 64 96 48 |  0 0  0  0  0  0  0 16 32 24 8 | *  *  *  * * 1

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