Acronym ica sidpith, ico || sidpith
Name icositetrachoron atop small disprismatotesseractihexadecachoron
Circumradius sqrt[2+sqrt(2)] = 1.847759
Lace city
in approx. ASCII-art
    x3o4o  o3x4o  x3o4o    
                           
o3o4x  x3o4x   x3o4x  o3o4x
Confer
general polytopal classes:
segmentotera   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3xo3oo4ox&#x   → height = sqrt[(sqrt(2)-1)/2] = 0.455090
(ico || sidpith)

o.3o.3o.4o.    | 24  * |  8   8  0  0 |  4  8  4  16   8  0  0  0 |  4 2  8  4  8  8  2  0  0  0 0 | 1  4  4  1 2 0
.o3.o3.o4.o    |  * 64 |  0   3  3  3 |  0  0  3   3   6  3  6  3 |  0 0  3  6  1  3  3  1  3  3 1 | 0  1  3  3 1 1
---------------+-------+--------------+---------------------------+--------------------------------+---------------
.. x. .. ..    |  2  0 | 96   *  *  * |  1  2  0   2   0  0  0  0 |  2 1  2  0  2  1  0  0  0  0 0 | 1  2  1  0 1 0
oo3oo3oo4oo&#x |  1  1 |  * 192  *  * |  0  0  1   2   2  0  0  0 |  0 0  2  2  1  2  1  0  0  0 0 | 0  1  2  1 1 0
.x .. .. ..    |  0  2 |  *   * 96  * |  0  0  1   0   0  2  2  0 |  0 0  2  2  0  0  0  1  2  1 0 | 0  1  2  1 0 1
.. .. .. .x    |  0  2 |  *   *  * 96 |  0  0  0   0   2  0  2  2 |  0 0  0  2  0  1  2  0  1  2 1 | 0  0  1  2 1 1
---------------+-------+--------------+---------------------------+--------------------------------+---------------
o.3x. .. ..    |  3  0 |  3   0  0  0 | 32  *  *   *   *  *  *  * |  2 0  2  0  0  0  0  0  0  0 0 | 1  2  1  0 0 0
.. x.3o. ..    |  3  0 |  3   0  0  0 |  * 64  *   *   *  *  *  * |  1 1  0  0  1  0  0  0  0  0 0 | 1  1  0  0 1 0
ox .. .. ..&#x |  1  2 |  0   2  1  0 |  *  * 96   *   *  *  *  * |  0 0  2  2  0  0  0  0  0  0 0 | 0  1  2  1 0 0
.. xo .. ..&#x |  2  1 |  1   2  0  0 |  *  *  * 192   *  *  *  * |  0 0  1  0  1  1  0  0  0  0 0 | 0  1  1  0 1 0
.. .. .. ox&#x |  1  2 |  0   2  0  1 |  *  *  *   * 192  *  *  * |  0 0  0  1  0  1  1  0  0  0 0 | 0  0  1  1 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  1  0  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.3x.3o. ..      6  0 | 12   0  0  0 |  4  4  0   0   0  0  0  0 | 16 *  *  *  *  *  *  *  *  * * | 1  1  0  0 0 0
.. x.3o.4o.      6  0 | 12   0  0  0 |  0  8  0   0   0  0  0  0 |  * 8  *  *  *  *  *  *  *  * * | 1  0  0  0 1 0
ox3xo .. ..&#x   3  3 |  3   6  3  0 |  1  0  3   3   0  1  0  0 |  * * 64  *  *  *  *  *  *  * * | 0  1  1  0 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
.. xo3oo ..&#x   3  1 |  3   3  0  0 |  0  1  0   3   0  0  0  0 |  * *  *  * 64  *  *  *  *  * * | 0  1  0  0 1 0
.. xo .. ox&#x   2  2 |  1   4  0  1 |  0  0  0   2   2  0  0  0 |  * *  *  *  * 96  *  *  *  * * | 0  0  1  0 1 0
.. .. oo4ox&#x   1  4 |  0   4  0  4 |  0  0  0   0   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.3x.3o.4o.     24  0 | 96   0  0  0 | 32 64  0   0   0  0  0  0 | 16 8  0  0  0  0  0  0  0  0 0 | 1  *  *  * * *
ox3xo3oo ..&#x   6  4 | 12  12  6  0 |  4  4  6  12   0  4  0  0 |  1 0  4  0  4  0  0  1  0  0 0 | * 16  *  * * *
ox3xo .. ox&#x   3  6 |  3  12  6  3 |  1  0  6   6   6  2  3  0 |  0 0  2  3  0  3  0  0  1  0 0 | *  * 32  * * *
ox .. oo4ox&#x   1  8 |  0   8  4  8 |  0  0  4   0   8  0  4  2 |  0 0  0  4  0  0  2  0  0  1 0 | *  *  * 24 * *
.. xo3oo4ox&#x   6  8 | 12  24  0 12 |  0  8  0  24  24  0  0  6 |  0 1  0  0  8 12  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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