Acronym gaquidphihi
Name great quasidisprismatohecatonicosihecatonicosachoron
Cross sections
 ©
Circumradius sqrt(18) = 4.242641
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: dip gaquatid grid stiddip
gaquidphihi 720120120720
)
Face vector 14400, 28800, 16080, 1680
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope gaquidphihi is an automorph polychoron, thereby interchanging the roles of decagrams and decagons, resp. interchanging the gaquatid and grid resp. the dip and stiddip.


Incidence matrix according to Dynkin symbol

x5x3x5/3x

. . .   . | 14400 |    1    1    1    1 |    1    1    1    1    1    1 |   1   1   1   1
----------+-------+---------------------+-------------------------------+----------------
x . .   . |     2 | 7200    *    *    * |    1    1    1    0    0    0 |   1   1   1   0
. x .   . |     2 |    * 7200    *    * |    1    0    0    1    1    0 |   1   1   0   1
. . x   . |     2 |    *    * 7200    * |    0    1    0    1    0    1 |   1   0   1   1
. . .   x |     2 |    *    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1
----------+-------+---------------------+-------------------------------+----------------
x5x .   . |    10 |    5    5    0    0 | 1440    *    *    *    *    * |   1   1   0   0
x . x   . |     4 |    2    0    2    0 |    * 3600    *    *    *    * |   1   0   1   0
x . .   x |     4 |    2    0    0    2 |    *    * 3600    *    *    * |   0   1   1   0
. x3x   . |     6 |    0    3    3    0 |    *    *    * 2400    *    * |   1   0   0   1
. x .   x |     4 |    0    2    0    2 |    *    *    *    * 3600    * |   0   1   0   1
. . x5/3x |    10 |    0    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1
----------+-------+---------------------+-------------------------------+----------------
x5x3x   .    120 |   60   60   60    0 |   12   30    0   20    0    0 | 120   *   *   *
x5x .   x     20 |   10   10    0   10 |    2    0    5    0    5    0 |   * 720   *   *
x . x5/3x     20 |   10    0   10   10 |    0    5    5    0    0    2 |   *   * 720   *
. x3x5/3x    120 |    0   60   60   60 |    0    0    0   20   30   12 |   *   *   * 120

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