Acronym righia
Name rectified great hecatonicosachoron alterprism
Circumradius sqrt[8+3 sqrt(5)]/2 = 1.917564
Confer
general polytopal classes:
segmentotera   scaliform  

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


Incidence matrix according to Dynkin symbol

oo5xo5/2ox5oo&#x   → height = sqrt[sqrt(5)-2] = 0.485868
(righi || inv righi)

o.5o.5/2o.5o.    & | 1440 |   10    5 |    5   10   15 |   5   2    6   10 | 1   7
-------------------+------+-----------+----------------+-------------------+------
.. x.   .. ..    & |    2 | 7200    * |    1    2    1 |   2   1    1    2 | 1   3
oo5oo5/2oo5oo&#x   |    2 |    * 3600 |    0    0    4 |   0   0    2    4 | 0   4
-------------------+------+-----------+----------------+-------------------+------
o.5x.   .. ..    & |    5 |    5    0 | 1400    *    * |   2   0    1    0 | 1   2
.. x.5/2o. ..    & |    5 |    5    0 |    * 2880    * |   1   1    0    1 | 1   2
.. xo   .. ..&#x & |    3 |    1    2 |    *    * 7200 |   0   0    1    2 | 0   3
-------------------+------+-----------+----------------+-------------------+------
o.5x.5/2o. ..    &    30 |   60    0 |   12   12    0 | 240   *    *    * | 1   1
.. x.5/2o.5o.    &    12 |   30    0 |    0   12    0 |   * 240    *    * | 1   1
oo5xo   .. ..&#x &     6 |    5    5 |    1    0    5 |   *   * 1440    * | 0   2
.. xo5/2ox ..&#x      10 |   10   10 |    0    2   10 |   *   *    * 1440 | 0   2
-------------------+------+-----------+----------------+-------------------+------
o.5x.5/2o.5o.    &   720 | 3600    0 |  720 1440    0 | 120 120    0    0 | 2   *
oo5xo5/2ox ..&#x &    42 |   90   60 |   12   24   90 |   1   1   12   12 | * 240

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