Within this axial blend of 3 icateses the top teses combine into the compound of 3 (i.e. the gico, here: type B), while 2 of the other base's completely coincident icoes and all the octpies would blend out.

Incidence matrix according to Dynkin symbol

gico || dual ico   → height = sqrt[sqrt(2)-1] = 0.643594

24  * |  8   6  0 | 12  24  12  0 |  8 12  24   8  0 | 1  8  8 0  verf: turap variant
 * 24 |  0   6  8 |  0  12  24 12 |  0  3  24  24  6 | 0  6 12 1  verf: 3squaf-blend
------+-----------+---------------+------------------+----------
 2  0 | 96   *  * |  3   3   0  0 |  3  3   3   0  0 | 1  3  1 0
 1  1 |  * 144  * |  0   4   4  0 |  0  2   4   4  0 | 0  4  4 0
 0  2 |  *   * 96 |  0   0   3  3 |  0  0   3   6  3 | 0  3  3 1
------+-----------+---------------+------------------+----------
 4  0 |  4   0  0 | 72   *   *  * |  2  1   0   0  0 | 1  2  0 0
 2  1 |  1   2  0 |  * 288   *  * |  0  1   2   0  0 | 0  2  1 0
 1  2 |  0   2  1 |  *   * 288  * |  0  0   2   2  0 | 0  2  2 0
 0  3 |  0   0  3 |  *   *   * 96 |  0  0   0   2  2 | 0  2  1 1
------+-----------+---------------+------------------+----------
 8  0 | 12   0  0 |  6   0   0  0 | 24  *   *   *  * | 1  1  0 0  cube
 4  1 |  4   4  0 |  1   4   0  0 |  * 72   *   *  * | 0  2  0 0  squippy
 2  2 |  1   2  1 |  0   2   2  0 |  *  * 288   *  * | 0  1  1 0  tet
 1  3 |  0   3  3 |  0   0   3  1 |  *  *   * 192  * | 0  1  1 0  tet
 0  6 |  0   0 12 |  0   0   0  8 |  *  *   *   * 24 | 0  1  0 1  oct
------+-----------+---------------+------------------+----------
24  0 | 96   0  0 | 72   0   0  0 | 24  0   0   0  0 | 1  *  * *  gico
 8  6 | 12  24 12 |  6  24  24  8 |  1  6  12   8  1 | * 24  * *  octacube
 2  3 |  1   6  3 |  0   3   6  1 |  0  0   3   2  0 | *  * 96 *  pen
 0 24 |  0   0 96 |  0   0   0 96 |  0  0   0   0 24 | *  *  * 1  ico