Acronym giqragashi
Name great quasirhombated grand stellated hecatonicosachoron
Circumradius 2
General of army sidpixhi
Colonel of regiment sabbadipady
Confer
uniform relative:
gabbadipady   ganbathi   sanbathi   tigaghi  
general polytopal classes:
Wythoffian polychora  

This fissary polychoron can be seen as a blend of the great blendic disprismatodishecatonicosachoron (gabbadipady) and the great spinoblendic trishecatonicosachoron (ganbathi). The vertices of the abstract version (type A) thus coincide by 3 each, and the compound vertex figure coincides at the decagons. Therefore it also can be considered as reduced polychoron, crossing over at these decagons (type B) or even dividing those decagons in 2 classes, which either connect 2 quasitruncated dodecadodecahedra (quitdid) or 2 truncated great dodecahedra (tigid), given below as type C, which further shows that this polychoron also can be seen as a blend of the small spinoblendic trishecatonicosachoron (sanbathi) and the truncated great grand hecatonicosachoron (tigaghi).

As abstract polytope giqragashi is isomorphic to gaqrigohi, thereby replacing the pentagrams by pentagons and interchanging the roles of decagons and decagrams, resp. replacing tigid by quit sissid and replacing stip by pip.


Incidence matrix according to Dynkin symbol

x5/3x5x5/2o   (type A)

.   . .   . | 7200 |    1    1    2 |   1    2    2    1 |   2   1   1
------------+------+----------------+--------------------+------------
x   . .   . |    2 | 3600    *    * |   1    2    0    0 |   2   1   0
.   x .   . |    2 |    * 3600    * |   1    0    2    0 |   2   0   1
.   . x   . |    2 |    *    * 7200 |   0    1    1    1 |   1   1   1
------------+------+----------------+--------------------+------------
x5/3x .   . |   10 |    5    5    0 | 720    *    *    * |   2   0   0
x   . x   . |    4 |    2    0    2 |   * 3600    *    * |   1   1   0
.   x5x   . |   10 |    0    5    5 |   *    * 1440    * |   1   0   1
.   . x5/2o |    5 |    0    0    5 |   *    *    * 1440 |   0   1   1
------------+------+----------------+--------------------+------------
x5/3x5x   .   120 |   60   60   60 |  12   30   12    0 | 120   *   *
x   . x5/2o    10 |    5    0   10 |   0    5    0    2 |   * 720   *
.   x5x5/2o    60 |    0   30   60 |   0    0   12   12 |   *   * 120

x5/3x5x5/3o   (type A)

.   . .   . | 7200 |    1    1    2 |   1    2    2    1 |   2   1   1
------------+------+----------------+--------------------+------------
x   . .   . |    2 | 3600    *    * |   1    2    0    0 |   2   1   0
.   x .   . |    2 |    * 3600    * |   1    0    2    0 |   2   0   1
.   . x   . |    2 |    *    * 7200 |   0    1    1    1 |   1   1   1
------------+------+----------------+--------------------+------------
x5/3x .   . |   10 |    5    5    0 | 720    *    *    * |   2   0   0
x   . x   . |    4 |    2    0    2 |   * 3600    *    * |   1   1   0
.   x5x   . |   10 |    0    5    5 |   *    * 1440    * |   1   0   1
.   . x5/3o |    5 |    0    0    5 |   *    *    * 1440 |   0   1   1
------------+------+----------------+--------------------+------------
x5/3x5x   .   120 |   60   60   60 |  12   30   12    0 | 120   *   *
x   . x5/3o    10 |    5    0   10 |   0    5    0    2 |   * 720   *
.   x5x5/3o    60 |    0   30   60 |   0    0   12   12 |   *   * 120

(type B)

 2400 |    3    1    3 |   3    6    6    3 |   6   3   3
------+----------------+--------------------+------------
    2 | 3600    *    * |   1    2    0    0 |   2   1   0
    2 |    * 1200    * |   3    0    6    0 |   6   0   3
    2 |    *    * 3600 |   0    2    2    2 |   2   2   2
------+----------------+--------------------+------------
   10 |    5    5    0 | 720    *    *    * |   2   0   0
    4 |    2    0    2 |   * 3600    *    * |   1   1   0
   10 |    0    5    5 |   *    * 1440    * |   1   0   1
    5 |    0    0    5 |   *    *    * 1440 |   0   1   1
------+----------------+--------------------+------------
 120 |   60   60   60 |  12   30   12    0 | 120   *   *
  10 |    5    0   10 |   0    5    0    2 |   * 720   *
  60 |    0   30   60 |   0    0   12   12 |   *   * 120

(type C)

 2400 |    3    1    1    3 |   3    6   3   3    3 |   6   3   3
------+---------------------+-----------------------+------------
    2 | 3600    *    *    * |   1    2   0   0    0 |   2   1   0
    2 |    * 1200    *    * |   0    0   3   0    0 |   0   0   3
    2 |    *    * 1200    * |   3    0   0   3    0 |   6   0   0
    2 |    *    *    * 3600 |   0    2   1   1    2 |   2   2   2
------+---------------------+-----------------------+------------
   10 |    5    0    5    0 | 720    *   *   *    * |   2   0   0
    4 |    2    0    0    2 |   * 3600   *   *    * |   1   1   0
   10 |    0    5    0    5 |   *    * 720   *    * |   2   0   0
   10 |    0    0    5    5 |   *    *   * 720    * |   0   0   2
    5 |    0    0    0    5 |   *    *   *   * 1440 |   0   1   1
------+---------------------+-----------------------+------------
 120 |   60    0   60   60 |  12   30  12   0    0 | 120   *   *
  10 |    5    0    0   10 |   0    5   0   0    2 |   * 720   *
  60 |    0   30    0   60 |   0    0   0  12   12 |   *   * 120

© 2004-2024
top of page