Acronym ...
Name sishia + 2x 2sishi (?)
Circumradius sqrt[(7+sqrt(5))/8] = 1.074481
Confer sishiap  

This holosnub indeed can be resized back to all unit edge lengths, resulting then in a blend of sishia with the bases being blended into Grünbaumian triple-covered sishis each. Accordingly the edges of 3sishi are and their faces as well as their cells look like being triply coincident each, while its vertices however are unique.

The vertex figure of "sishia + 2x 2sishi" is a variant of sissid || 3doe, in fact the version xv5/2ov5oo&#x.


Incidence matrix according to Dynkin symbol


β2β5o5/2o5o

both( . . .   . . ) | 240 |   12   60 |   30   90   60 |  30  12   72  12 |  12 1  13
--------------------+-----+-----------+----------------+------------------+----------
      β2β .   . .   |   2 | 1440    * |    0   10    0 |   5   0   10   0 |   5 0   2
sefa( . β5o   . . ) |   2 |    * 7200 |    1    1    2 |   1   2    2   1 |   2 1   1
--------------------+-----+-----------+----------------+------------------+----------
      . β5o   . .      5 |    0    5 | 1440    *    * |   1   2    0   0 |   2 1   0  {5/2}
sefa( β2β5o   . . ) |   3 |    2    1 |    * 7200    * |   1   0    2   0 |   2 0   1
sefa( . β5o5/2o . ) |   5 |    0    5 |    *    * 2880 |   0   1    1   1 |   1 1   1  {5/2}
--------------------+-----+-----------+----------------+------------------+----------
      β2β5o   . .     10 |   10   10 |    2   10    0 | 720   *    *   * |   2 0   0
      . β5o5/2o .     12 |    0   60 |   12    0   12 |   * 240    *   * |   1 1   0
sefa( β2β5o5/2o . )    6 |    5    5 |    0    5    1 |   *   * 2880   * |   1 0   1
sefa( . β5o5/2o5o )   12 |    0   30 |    0    0   12 |   *   *    * 240 |   0 1   1
--------------------+-----+-----------+----------------+------------------+----------
      β2β5o5/2o .     24 |   60  120 |   24  120   24 |  12   2   24   0 | 120 *   *
      . β5o5/2o5o    120 |    0 3600 |  720    0 1440 |   0 120    0 120 |   * 2   *
sefa( β2β5o5/2o5o )   13 |   12   30 |    0   30   12 |   0   0   12   1 |   * * 240

starting figure: x x5o5/2o5o

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