Acronym gidtixhi
Name great ditrigonary hexacosihecatonicosachoron
Cross sections
 ©
Circumradius 1
Coordinates
  • (1, 0, 0, 0)                                         & all permutations, all changes of sign
    (vertex inscribed q-hex)
  • (1/2, 1/2, 1/2, 1/2)                             & all permutations, all changes of sign
    (vertex inscribed tes)
  • ((1+sqrt(5))/4, (sqrt(5)-1)/4, 1/4, 0)   & all even permutations, all changes of sign
    (vertex inscribed v-sadi)
General of army ex
Colonel of regiment sishi
Face vector 120, 1200, 2400, 720
Confer
Grünbaumian relatives:
gidtixhi+dox  
decompositions:
pt || gidtixhi  
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope gidtixhi is isomorphic to sidtixhi, thereby replacing ike by gike.

From the unit circumradius it follows, when considered with according densities, that then gidtixhi can be thought of as the external blend of 600 pens + 120 ikepies. This decomposition is described as the degenerate segmentoteron ox3oo3oo3/2oo5*b&#x.


Incidence matrix according to Dynkin symbol

x3o3o3o5/4*b

. . . .      | 120    20 |   60 |  20  12
-------------+-----+------+------+--------
x . . .      |   2 | 1200 |    6 |   3   3
-------------+-----+------+------+--------
x3o . .      |   3 |    3 | 2400 |   1   1
-------------+-----+------+------+--------
x3o3o .         4 |    6 |    4 | 600   *
x3o . o5/4*b   12 |   30 |   20 |   * 120

x3o3o3/2o5*b

. . .   .    | 120    20 |   60 |  20  12
-------------+-----+------+------+--------
x . .   .    |   2 | 1200 |    6 |   3   3
-------------+-----+------+------+--------
x3o .   .    |   3 |    3 | 2400 |   1   1
-------------+-----+------+------+--------
x3o3o   .       4 |    6 |    4 | 600   *
x3o .   o5*b   12 |   30 |   20 |   * 120

x3o3/2o3o5*b

. .   . .    | 120    20 |   60 |  20  12
-------------+-----+------+------+--------
x .   . .    |   2 | 1200 |    6 |   3   3
-------------+-----+------+------+--------
x3o   . .    |   3 |    3 | 2400 |   1   1
-------------+-----+------+------+--------
x3o3/2o .       4 |    6 |    4 | 600   *
x3o   . o5*b   12 |   30 |   20 |   * 120

x3o3/2o3/2o5/4*b

. .   .   .      | 120    20 |   60 |  20  12
-----------------+-----+------+------+--------
x .   .   .      |   2 | 1200 |    6 |   3   3
-----------------+-----+------+------+--------
x3o   .   .      |   3 |    3 | 2400 |   1   1
-----------------+-----+------+------+--------
x3o3/2o   .         4 |    6 |    4 | 600   *
x3o   .   o5/4*b   12 |   30 |   20 |   * 120

x3/2o3o3o5/4*b

.   . . .      | 120    20 |   60 |  20  12
---------------+-----+------+------+--------
x   . . .      |   2 | 1200 |    6 |   3   3
---------------+-----+------+------+--------
x3/2o . .      |   3 |    3 | 2400 |   1   1
---------------+-----+------+------+--------
x3/2o3o .         4 |    6 |    4 | 600   *
x3/2o . o5/4*b   12 |   30 |   20 |   * 120

x3/2o3o3/2o5*b

.   . .   .    | 120    20 |   60 |  20  12
---------------+-----+------+------+--------
x   . .   .    |   2 | 1200 |    6 |   3   3
---------------+-----+------+------+--------
x3/2o .   .    |   3 |    3 | 2400 |   1   1
---------------+-----+------+------+--------
x3/2o3o   .       4 |    6 |    4 | 600   *
x3/2o .   o5*b   12 |   30 |   20 |   * 120

x3/2o3/2o3o5*b

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

x3/2o3/2o3/2o5/4*b

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

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