Acronym risadi (alt.: idrox)
Name rectified snub icositetrachoron,
icositetradiminished rectified hexacosachoron
 
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(cell surrounding of the ids resp. of the tet-symmetrical octs)
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
uniform relative:
rox   sadi  
related segmentochora:
ikaid  
related CRFs:
tisadi  

Just as sadi was obtained from ex by an ico-symmetric diminishing, i.e. chopping off ikepy-caps, risadi is obtained from rox by an ico-symmetric diminishing, i.e. chopping off ikaid-caps.

Much more remarkable is that sadi allows for some of the same operations as regulars do: risadi is nothing but the rectification operation being applied to it.


Incidence matrix

144   * |   4   4   0   0 |  2  2   2   4   2  0  0 |  1  1  2  2  "head" of {5}
  * 288 |   0   2   2   2 |  0  0   2   1   4  1  1 |  2  0  1  2  "arms" + "legs" of {5}
--------+-----------------+-------------------------+------------
  2   0 | 288   *   *   * |  1  1   0   1   0  0  0 |  0  1  1  1
  1   1 |   * 576   *   * |  0  0   1   1   1  0  0 |  1  0  1  1
  0   2 |   *   * 288   * |  0  0   0   0   2  1  0 |  2  0  0  1
  0   2 |   *   *   * 288 |  0  0   1   0   1  0  1 |  1  0  1  1
--------+-----------------+-------------------------+------------
  3   0 |   3   0   0   0 | 96  *   *   *   *  *  * |  0  1  1  0
  3   0 |   3   0   0   0 |  * 96   *   *   *  *  * |  0  1  0  1
  1   2 |   0   2   0   1 |  *  * 288   *   *  *  * |  1  0  1  0
  2   1 |   1   2   0   0 |  *  *   * 288   *  *  * |  0  0  1  1
  1   4 |   0   2   2   1 |  *  *   *   * 288  *  * |  1  0  0  1
  0   3 |   0   0   3   0 |  *  *   *   *   * 96  * |  2  0  0  0
  0   3 |   0   0   0   3 |  *  *   *   *   *  * 96 |  0  0  1  1
--------+-----------------+-------------------------+------------
  6  24 |   0  24  24  12 |  0  0  12   0  12  8  0 | 24  *  *  *  id
  6   0 |  12   0   0   0 |  4  4   0   0   0  0  0 |  * 24  *  *  oct (tet sym)
  3   3 |   3   6   0   3 |  1  0   3   3   0  0  1 |  *  * 96  *  oct (3-ap sym)
  3   6 |   3   6   3   3 |  0  1   0   3   3  0  1 |  *  *  * 96  teddi

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