Acronym ...
Name 2srahi+1440{10}+4800{3} (?)
Circumradius sqrt[23+10 sqrt(5)] = 6.735034
General of army srahi
Colonel of regiment srahi
Confer
Grünbaumian relatives:
2srahi   2srahi+2400trip  

This is a scaliform variant of a faceting of a Grünbaumian double-cover of the small rhombated hecatonicosachoron (srahi), the additional 4800 triangles are used to produce a quadruple coincidence of the former oct-srid triangles, and the decagons are faceting faces of the small rhombicosidodecahedra (srid).


Incidence matrix according to Dynkin symbol

β3β3o5x

both( . . . . ) | 7200 |    2     4    2 |    1    2    1    3    4    2 |   1    2   1    3
----------------+------+-----------------+-------------------------------+------------------
both( . . . x ) |    2 | 7200     *    * |    1    0    0    0    2    1 |   0    1   1    2
sefa( s3s . . ) |    2 |    * 14400    * |    0    1    0    1    1    0 |   1    1   0    1
sefa( . β3o . ) |    2 |    *     * 7200 |    0    0    1    1    0    1 |   1    0   1    1
----------------+------+-----------------+-------------------------------+------------------
both( . . o5x ) |    5 |    5     0    0 | 1440    *    *    *    *    * |   0    0   1    1
both( s3s . . )     3 |    0     3    0 |    * 4800    *    *    *    * |   1    1   0    0
      . β3o .       3 |    0     0    3 |    *    * 2400    *    *    * |   1    0   1    0
sefa( β3β3o . ) |    3 |    0     2    1 |    *    *    * 7200    *    * |   1    0   0    1
sefa( s3s 2 x ) |    4 |    2     2    0 |    *    *    *    * 7200    * |   0    1   0    1
sefa( . β3o5x ) |   10 |    5     0    5 |    *    *    *    *    * 1440 |   0    0   1    1
----------------+------+-----------------+-------------------------------+------------------
      β3β3o .      12 |    0    24   12 |    0    8    4   12    0    0 | 600    *   *    *
both( s3s 2 x )     6 |    3     6    0 |    0    2    0    0    3    0 |   * 2400   *    *
      . β3o5x      60 |   60     0   60 |   12    0   20    0    0   12 |   *    * 120    *
sefa( β3β3o5x )    15 |   10    10    5 |    1    0    0    5    5    1 |   *    *   * 1440

starting figure: x3x3o5x

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