Acronym sirdtaxadiap
Name small retroditetrahedronary hexacosidishecatonicosachoron atop alternate small retroditetrahedronary hexacosidishecatonicosachoron,
small retroditetrahedronary hexacosidishecatonicosachoron alterprism
Circumradius sqrt[(23+9 sqrt(5))/8] = 2.321762
Confer
general polytopal classes:
segmentotera  

As abstract polytope sirdtaxadiap is isomorphic to gadtaxadiap, thereby replacing pentagons by pentagrams, resp. replacing does by gissids, ids by gids, and paps by staps, resp. replacing sirdtaxadies by gadtaxadies and doaids by gissidagids.


Incidence matrix according to Dynkin symbol

xo3oo3oo3/2ox5*a&#x   → height = sqrt[(sqrt(5)-1)/2] = 0.786151
(sirdtaxady || alt. sirdtaxady)

o.3o.3o.3/2o.5*a    & | 1200 |   12    4 |   12   12   18 |    4   6   4   16   12 | 1    5  10
----------------------+------+-----------+----------------+------------------------+-----------
x. .. ..   ..       & |    2 | 7200    * |    2    2    1 |    1   2   1    2    2 | 1    1   3
oo3oo3oo3/2oo5*a&#x   |    2 |    * 2400 |    0    0    6 |    0   0   0    6    6 | 0    2   6
----------------------+------+-----------+----------------+------------------------+-----------
x.3o. ..   ..       & |    3 |    3    0 | 4800    *    * |    1   1   0    1    0 | 1    1   1
x. .. ..   o.5*a    & |    5 |    5    0 |    * 2880    * |    0   1   1    0    1 | 1    0   2
xo .. ..   ..   &#x & |    3 |    1    2 |    *    * 7200 |    0   0   0    2    2 | 0    1   3
----------------------+------+-----------+----------------+------------------------+-----------
x.3o.3o.   ..       &     4 |    6    0 |    4    0    0 | 1200   *   *    *    * | 1    1   0
x.3o. ..   o.5*a    &    30 |   60    0 |   20   12    0 |    * 240   *    *    * | 1    0   1
x. .. o.3/2o.5*a    &    20 |   30    0 |    0   12    0 |    *   * 240    *    * | 1    0   1
xo3oo ..   ..   &#x &     4 |    3    3 |    1    0    3 |    *   *   * 4800    * | 0    1   1
xo .. ..   ox5*a&#x      10 |   10   10 |    0    2   10 |    *   *   *    * 1440 | 0    0   2
----------------------+------+-----------+----------------+------------------------+-----------
x.3o.3o.3/2o.5*a    &   600 | 3600    0 | 2400 1440    0 |  600 120 120    0    0 | 2    *   *
xo3oo3oo   ..   &#x &     5 |    6    4 |    4    0    6 |    1   0   0    4    0 | * 1200   
xo3oo ..   ox5*a&#x &    50 |   90   60 |   20   24   90 |    0   1   1   20   12 | *    * 240

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