Acronym ricoaspic
Name rectified icositetrachoron atop small prismated icositetrachoron
Circumradius sqrt[2+sqrt(2)] = 1.847759
Confer
general polytopal classes:
segmentotera   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

ox3xo4oo3ox&#x   → height = sqrt[sqrt(2)-1] = 0.643594
(rico || spic)

o.3o.4o.3o.    | 96   * |   6   6   0   0 |  3   6   3  12   6   0   0   0 |  3  2   6   3   6   6   2  0  0  0  0 | 1  3  3  1  2 0
.o3.o4.o3.o    |  * 144 |   0   4   4   4 |  0   0   4   4   8   4   8   4 |  0  0   4   8   1   4   4  1  4  4  1 | 0  1  4  4  1 1
---------------+--------+-----------------+--------------------------------+---------------------------------------+----------------
.. x. .. ..    |  2   0 | 288   *   *   * |  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
oo3oo4oo3oo&#x |  1   1 |   * 576   *   * |  0   0   1   2   2   0   0   0 |  0  0   1   2   1   2   1  0  0  0  0 | 0  1  2  1  1 0
.x .. .. ..    |  0   2 |   *   * 288   * |  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 |   *   *   * 288 |  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 | 96   *   *   *   *   *   *   * |  2  0   2   0   0   0   0  0  0  0  0 | 1  2  1  0  0 0
.. x.4o. ..    |  4   0 |   4   0   0   0 |  * 144   *   *   *   *   *   * |  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 |  *   * 288   *   *   *   *   * |  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 |  *   *   * 576   *   *   *   * |  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 |  *   *   *   * 576   *   *   * |  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 |  *   *   *   *   * 192   *   * |  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 |  *   *   *   *   *   * 288   * |  0  0   0   1   0   0   0  0  1  1  0 | 0  0  1  1  0 1
.. .. .o3.x    |  0   3 |   0   0   0   3 |  *   *   *   *   *   *   * 192 |  0  0   0   0   0   0   1  0  0  1  1 | 0  0  0  1  1 1
---------------+--------+-----------------+--------------------------------+---------------------------------------+----------------
o.3x.4o. ..     12   0 |  24   0   0   0 |  8   6   0   0   0   0   0   0 | 24  *   *   *   *   *   *  *  *  *  * | 1  1  0  0  0 0
.. x.4o.3o.      8   0 |  12   0   0   0 |  0   6   0   0   0   0   0   0 |  * 24   *   *   *   *   *  *  *  *  * | 1  0  0  0  1 0
ox3xo .. ..&#x   3   3 |   3   6   3   0 |  1   0   3   3   0   1   0   0 |  *  * 192   *   *   *   *  *  *  *  * | 0  1  1  0  0 0
ox .. .. ox&#x   1   4 |   0   4   2   2 |  0   0   2   0   2   0   1   0 |  *  *   * 288   *   *   *  *  *  *  * | 0  0  1  1  0 0
.. xo4oo ..&#x   4   1 |   4   4   0   0 |  0   1   0   4   0   0   0   0 |  *  *   *   * 144   *   *  *  *  *  * | 0  1  0  0  1 0
.. xo .. ox&#x   2   2 |   1   4   0   1 |  0   0   0   2   2   0   0   0 |  *  *   *   *   * 288   *  *  *  *  * | 0  0  1  0  1 0
.. .. oo3ox&#x   1   3 |   0   3   0   3 |  0   0   0   0   3   0   0   1 |  *  *   *   *   *   * 192  *  *  *  * | 0  0  0  1  1 0
.x3.o4.o ..      0   6 |   0   0  12   0 |  0   0   0   0   0   8   0   0 |  *  *   *   *   *   *   * 24  *  *  * | 0  1  0  0  0 1
.x3o. .. .x      0   6 |   0   0   6   3 |  0   0   0   0   0   2   3   0 |  *  *   *   *   *   *   *  * 96  *  * | 0  0  1  0  0 1
.x .. .o3.x      0   6 |   0   0   3   6 |  0   0   0   0   0   0   3   2 |  *  *   *   *   *   *   *  *  * 96  * | 0  0  0  1  0 1
.. .o4.o3.x      0   6 |   0   0   0  12 |  0   0   0   0   0   0   0   8 |  *  *   *   *   *   *   *  *  *  * 24 | 0  0  0  0  1 1
---------------+--------+-----------------+--------------------------------+---------------------------------------+----------------
o.3x.4o.3o.     96   0 | 288   0   0   0 | 96 144   0   0   0   0   0   0 | 24 24   0   0   0   0   0  0  0  0  0 | 1  *  *  *  * *
ox3xo4oo ..&#x  12   6 |  24  24  12   0 |  8   6  12  24   0   8   0   0 |  1  0   8   0   6   0   0  1  0  0  0 | * 24  *  *  * *
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 | *  * 96  *  * *
ox .. oo3ox&#x   1   6 |   0   6   3   6 |  0   0   3   0   6   0   3   2 |  0  0   0   3   0   0   2  0  0  1  0 | *  *  * 96  * *
.. xo4oo3ox&#x   8   6 |  12  24   0  12 |  0   6   0  24  24   0   0   8 |  0  1   0   0   6  12   8  0  0  0  1 | *  *  *  * 24 *
.x3.o4.o3.x      0 144 |   0   0 288 288 |  0   0   0   0   0 192 288 192 |  0  0   0   0   0   0   0 24 96 96 24 | *  *  *  *  * 1

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