Acronym horico adisti
Name hollow rectified icositetrachoron atop disnub tetrakisicositetrachoron,
snub disicositetrachoric cupolaic blend
Circumradius sqrt[(13+5 sqrt(5))/8] = 1.738546
Face vector 288, 1728, 2688, 1440, 241
Confer
related CRFs:
ricoasadi  
general polytopal classes:
cupolaic blends  

In April 2023 "Username5243" came up with this axial blend of 2 mutually gyrated copies of ricoasadi, then blending out the common rico, whereby the 2 mutually gyrated sadis of the other base would combine into according the compound of 2 (disti). It thus happens to be a 5D example for the similarily constructed cupolaic blends.

It then got designed such that it further features such 4D examples (hocubasiddo and hocoaso) as well as the 3D example tutrip for some of its faces, i.e. extrapolating this very idea into higher dimensions. Therefore the holowness, by first glance only related to one of its bases, here in fact creeps down on the "incident" lacing facets a bit too!


Incidence matrix

pseudo rico || disti   → height = sqrt[(sqrt(5)-1)/2] = 0.786151

96   * |   6   6   0   0 |  3  12  12   6  0   0   0 |   6  1   6  12   6  0  0   0 |  2  3   6 0
 * 192 |   0   3   3   6 |  0   3   6   6  3   9   3 |   1  3   3   1   3  3  1   4 |  3  1   4 1
-------+-----------------+---------------------------+------------------------------+------------
 2   0 | 288   *   *   * |  1   2   2   0  0   0   0 |   2  0   2   2   2  0  0   0 |  1  2   2 0
 1   1 |   * 576   *   * |  0   2   2   2  0   0   0 |   1  1   2   4   1  0  0   0 |  2  1   2 0
 0   2 |   *   * 288   * |  0   0   2   0  0   2   2 |   0  0   1   2   2  1  1   2 |  1  1   2 1
 0   2 |   *   *   * 576 |  0   0   0   1  1   2   0 |   0  1   0   2   0  2  0   1 |  2  0   1 1
-------+-----------------+---------------------------+------------------------------+------------
 3   0 |   3   0   0   0 | 96   *   *   *  *   *   * |   2  0   0   0   2  0  0   0 |  0  2   2 0
 2   1 |   1   2   0   0 |  * 576   *   *  *   *   * |   1  0   1   1   0  0  0   0 |  1  1   1 0
 2   2 |   1   2   1   0 |  *   * 576   *  *   *   * |   0  0   1   1   1  0  0   0 |  1  1   1 0
 1   2 |   0   2   0   1 |  *   *   * 576  *   *   * |   0  1   0   2   0  0  0   0 |  2  0   1 0
 0   6 |   0   0   0   6 |  *   *   *   * 96   *   * |   0  1   0   0   0  2  0   0 |  2  0   0 1  2{3}
 0   3 |   0   0   1   2 |  *   *   *   *  * 576   * |   0  0   0   1   0  1  0   1 |  1  0   1 1
 0   3 |   0   0   3   0 |  *   *   *   *  *   * 192 |   0  0   0   0   1  0  1   1 |  0  1   1 1
-------+-----------------+---------------------------+------------------------------+------------
 3   1 |   3   3   0   0 |  1   3   0   0  0   0   0 | 192  *   *   *   *  *  *   * |  0  1   1 0  tet
 1   6 |   0   6   0   6 |  0   0   0   6  1   0   0 |   * 96   *   *   *  *  *   * |  2  0   0 0  2{3}-py
 4   4 |   4   8   2   0 |  0   4   4   0  0   0   0 |   *  * 144   *   *  *  *   * |  1  1   0 0  tutrip
 2   3 |   1   4   1   2 |  0   1   1   2  0   1   0 |   *  *   * 576   *  *  *   * |  1  0   1 0  squippy
 3   3 |   3   3   3   0 |  1   0   3   0  0   0   1 |   *  *   *   * 192  *  *   * |  0  1   1 0  trip
 0  24 |   0   0  12  48 |  0   0   0   0  8  24   0 |   *  *   *   *   * 24  *   * |  1  0   0 1  siddo
 0   8 |   0   0  12   0 |  0   0   0   0  0   0   8 |   *  *   *   *   *  * 24   * |  0  1   0 1  so
 0   4 |   0   0   3   3 |  0   0   0   0  0   3   1 |   *  *   *   *   *  *  * 192 |  0  0   1 1  tet
-------+-----------------+---------------------------+------------------------------+------------
 8  24 |  12  48  12  48 |  0  24  24  48  8  24   0 |   0  8   6  24   0  1  0   0 | 24  *   * *  hocubasiddo
12   8 |  24  24  12   0 |  8  24  24   0  0   0   8 |   8  0   6   0   8  0  1   0 |  * 24   * *  hocoaso
 3   4 |   3   6   3   3 |  1   3   3   3  0   3   1 |   1  0   0   3   1  0  0   1 |  *  * 192 *  trippy
 0 192 |   0   0 288 576 |  0   0   0   0 96 576 192 |   0  0   0   0   0 24 24 192 |  *  *   * 1  disti

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