Acronym ragashia
Name rectified grand stellated hecatonicosachoron alterprism
Circumradius sqrt[4+sqrt(5)]/2 = 1.248606
Confer
general polytopal classes:
segmentotera   scaliform  

As abstract polytope ragashia is isomorphic to righia, thereby interchanging pentagons and pentagrams resp. replacing gads by sissids, stappies by peppies, and paps by staps, as well as replacing ragashis by righis and gaddadids by sissidadids.


Incidence matrix according to Dynkin symbol

oo5/2xo5ox5/2oo&#x   → height = sqrt[3 sqrt(5)-6] = 0.841549
(ragashi || inv ragashi)

o.5/2o.5o.5/2o.    & | 1440 |   10    5 |    5   10   15 |   5   2    6   10 | 1   7
---------------------+------+-----------+----------------+-------------------+------
..   x. ..   ..    & |    2 | 7200    * |    1    2    1 |   2   1    1    2 | 1   3
oo5/2oo5oo5/2oo&#x   |    2 |    * 3600 |    0    0    4 |   0   0    2    4 | 0   4
---------------------+------+-----------+----------------+-------------------+------
o.5/2x. ..   ..    & |    5 |    5    0 | 1400    *    * |   2   0    1    0 | 1   2
..   x.5o.   ..    & |    5 |    5    0 |    * 2880    * |   1   1    0    1 | 1   2
..   xo ..   ..&#x & |    3 |    1    2 |    *    * 7200 |   0   0    1    2 | 0   3
---------------------+------+-----------+----------------+-------------------+------
o.5/2x.5o.   ..    &    30 |   60    0 |   12   12    0 | 240   *    *    * | 1   1
..   x.5o.5/2o.    &    12 |   30    0 |    0   12    0 |   * 240    *    * | 1   1
oo5/2xo ..   ..&#x &     6 |    5    5 |    1    0    5 |   *   * 1440    * | 0   2
..   xo5ox   ..&#x      10 |   10   10 |    0    2   10 |   *   *    * 1440 | 0   2
---------------------+------+-----------+----------------+-------------------+------
o.5/2x.5o.5/2o.    &   720 | 3600    0 |  720 1440    0 | 120 120    0    0 | 2   *
oo5/2xo5ox   ..&#x &    42 |   90   60 |   12   24   90 |   1   1   12   12 | * 240

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