Acronym srahi
Name small rhombated hecatonicosachoron,
cantellated hecatonicosachoron
Circumradius sqrt[23+10 sqrt(5)] = 6.735034
Vertex figure
 ©
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: dip oct saddid srid tid trip
pinpixhi 720600120001200
spriphi 7200001201200
srawvixady 060012001200
srahi 0600012001200
& others)
Dihedral angles
  • at {3} between oct and trip:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756°
  • at {4} between srid and trip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843°
  • at {5} between srid and srid:   144°
  • at {3} between oct and srid:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
Confer
Grünbaumian relatives:
2srahi   2srahi+1440{10}+4800{3}   2srahi+2400trip  
segmentochora:
sridatid   pepuf  
related CRFs:
sidsrahi   sgysrahi  
decompositions:
srix || srahi  
External
links
hedrondude   wikipedia   WikiChoron   quickfur

As abstract polytope srahi is isomorphic to qrigogishi, thereby replacing pentagons by pentagrams and replacing srid by qrid.

Note that srahi can be thought of as the external blend of 1 srix + 600 octacoes + 1200 trafs + 720 pafs + 120 idasrids. This decomposition is described as the degenerate segmentoteron xo3ox3xo5ox&#x.


Incidence matrix according to Dynkin symbol

o3x3o5x

. . . . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
--------+------+-----------+--------------------+-------------
. x . . |    2 | 7200    * |    1    1    1   0 |   1    1   1
. . . x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
--------+------+-----------+--------------------+-------------
o3x . . |    3 |    3    0 | 2400    *    *   * |   1    1   0
. x3o . |    3 |    3    0 |    * 2400    *   * |   1    0   1
. x . x |    4 |    2    2 |    *    * 3600   * |   0    1   1
. . o5x |    5 |    0    5 |    *    *    * 720 |   0    0   2
--------+------+-----------+--------------------+-------------
o3x3o .     6 |   12    0 |    4    4    0   0 | 600    *   *
o3x . x     6 |    6    3 |    2    0    3   0 |   * 1200   *
. x3o5x    60 |   60   60 |    0   20   30  12 |   *    * 120

snubbed forms: o3β3o5x, o3x3o5β, o3β3o5β

o3x3/2o5/4x

. .   .   . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
------------+------+-----------+--------------------+-------------
. x   .   . |    2 | 7200    * |    1    1    1   0 |   1    1   1
. .   .   x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
------------+------+-----------+--------------------+-------------
o3x   .   . |    3 |    3    0 | 2400    *    *   * |   1    1   0
. x3/2o   . |    3 |    3    0 |    * 2400    *   * |   1    0   1
. x   .   x |    4 |    2    2 |    *    * 3600   * |   0    1   1
. .   o5/4x |    5 |    0    5 |    *    *    * 720 |   0    0   2
------------+------+-----------+--------------------+-------------
o3x3/2o   .     6 |   12    0 |    4    4    0   0 | 600    *   *
o3x   .   x     6 |    6    3 |    2    0    3   0 |   * 1200   *
. x3/2o5/4x    60 |   60   60 |    0   20   30  12 |   *    * 120

o3/2x3o5x

.   . . . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
----------+------+-----------+--------------------+-------------
.   x . . |    2 | 7200    * |    1    1    1   0 |   1    1   1
.   . . x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
----------+------+-----------+--------------------+-------------
o3/2x . . |    3 |    3    0 | 2400    *    *   * |   1    1   0
.   x3o . |    3 |    3    0 |    * 2400    *   * |   1    0   1
.   x . x |    4 |    2    2 |    *    * 3600   * |   0    1   1
.   . o5x |    5 |    0    5 |    *    *    * 720 |   0    0   2
----------+------+-----------+--------------------+-------------
o3/2x3o .     6 |   12    0 |    4    4    0   0 | 600    *   *
o3/2x . x     6 |    6    3 |    2    0    3   0 |   * 1200   *
.   x3o5x    60 |   60   60 |    0   20   30  12 |   *    * 120

o3/2x3/2o5/4x

.   .   .   . | 3600 |    4    2 |    2    2    4   1 |   1    2   2
--------------+------+-----------+--------------------+-------------
.   x   .   . |    2 | 7200    * |    1    1    1   0 |   1    1   1
.   .   .   x |    2 |    * 3600 |    0    0    2   1 |   0    1   2
--------------+------+-----------+--------------------+-------------
o3/2x   .   . |    3 |    3    0 | 2400    *    *   * |   1    1   0
.   x3/2o   . |    3 |    3    0 |    * 2400    *   * |   1    0   1
.   x   .   x |    4 |    2    2 |    *    * 3600   * |   0    1   1
.   .   o5/4x |    5 |    0    5 |    *    *    * 720 |   0    0   2
--------------+------+-----------+--------------------+-------------
o3/2x3/2o   .     6 |   12    0 |    4    4    0   0 | 600    *   *
o3/2x   .   x     6 |    6    3 |    2    0    3   0 |   * 1200   *
.   x3/2o5/4x    60 |   60   60 |    0   20   30  12 |   *    * 120

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