Acronym ghipady
Name great hecatonicosiprismatodishecatonicosachoron
Circumradius sqrt[10+3 sqrt(5)] = 4.087567
Colonel of regiment gid thipady
Face vector 7200, 18000, 11280, 1080
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope ghipady is isomorphic to shipady, thereby replacing the pentagons by pentagrams and the decagons by decagrams, respectively grid by gaquatid, tid by quit gissid, pip by stip, and giid by siid. – As such ghipady is a lieutenant.


Incidence matrix according to Dynkin symbol

x5x3x5o3/2*b

. . . .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
-------------+------+----------------+--------------------------+----------------
x . . .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x . .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x . .      |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x . x .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x . o3/2*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1   0   1
. . x5o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x3x .        120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5x . o3/2*b    60 |   30   60    0 |   12    0    0   20    0 |   * 120   *   *
x . x5o         10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5o3/2*b    60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120

x5x3x5/4o3*b

. . .   .    | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
-------------+------+----------------+--------------------------+----------------
x . .   .    |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x .   .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x   .    |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x .   .    |   10 |    5    5    0 | 1440    *    *    *    * |   1   1   0   0
x . x   .    |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x   .    |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x .   o3*b |    3 |    0    3    0 |    *    *    * 2400    * |   0   1   0   1
. . x5/4o    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x5x3x   .      120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5x .   o3*b    60 |   30   60    0 |   12    0    0   20    0 |   * 120   *   *
x . x5/4o       10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/4o3*b    60 |    0   60   60 |    0    0   20   20   12 |   *   *   * 120

© 2004-2024
top of page