Acronym	ghihi
Name	great hecatonicosihecatonicosachoron
Cross sections	©
Circumradius	(3 sqrt(5)-5)/2 = 0.854102
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: quit gissid quit sissid ghihi 120 120 )
Face vector	3600, 7200, 3360, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope ghihi is isomorphic to shihi, thereby replacing the decagrams by decagons, resp. replacing quit gissid by tid and quit sissid by tigid.

Incidence matrix according to Dynkin symbol

o3x5/3x5o

. .   . . | 3600 |    2    2 |    1    4   1 |   2   2
----------+------+-----------+---------------+--------
. x   . . |    2 | 3600    * |    1    2   0 |   2   1
. .   x . |    2 |    * 3600 |    0    2   1 |   1   2
----------+------+-----------+---------------+--------
o3x   . . |    3 |    3    0 | 1200    *   * |   2   0
. x5/3x . |   10 |    5    5 |    * 1440   * |   1   1
. .   x5o |    5 |    0    5 |    *    * 720 |   0   2
----------+------+-----------+---------------+--------
o3x5/3x . ♦   60 |   60   30 |   20   12   0 | 120   *
. x5/3x5o ♦   60 |   30   60 |    0   12  12 |   * 120

o3x5/3x5/4o

. .   .   . | 3600 |    2    2 |    1    4   1 |   2   2
------------+------+-----------+---------------+--------
. x   .   . |    2 | 3600    * |    1    2   0 |   2   1
. .   x   . |    2 |    * 3600 |    0    2   1 |   1   2
------------+------+-----------+---------------+--------
o3x   .   . |    3 |    3    0 | 1200    *   * |   2   0
. x5/3x   . |   10 |    5    5 |    * 1440   * |   1   1
. .   x5/4o |    5 |    0    5 |    *    * 720 |   0   2
------------+------+-----------+---------------+--------
o3x5/3x   . ♦   60 |   60   30 |   20   12   0 | 120   *
. x5/3x5/4o ♦   60 |   30   60 |    0   12  12 |   * 120

o3/2x5/3x5o

.   .   . . | 3600 |    2    2 |    1    4   1 |   2   2
------------+------+-----------+---------------+--------
.   x   . . |    2 | 3600    * |    1    2   0 |   2   1
.   .   x . |    2 |    * 3600 |    0    2   1 |   1   2
------------+------+-----------+---------------+--------
o3/2x   . . |    3 |    3    0 | 1200    *   * |   2   0
.   x5/3x   . |   10 |    5    5 |    * 1440   * |   1   1
.   .   x5o |    5 |    0    5 |    *    * 720 |   0   2
------------+------+-----------+---------------+--------
o3/2x5/3x . ♦   60 |   60   30 |   20   12   0 | 120   *
.   x5/3x5o ♦   60 |   30   60 |    0   12  12 |   * 120

o3/2x5/3x5/4o

.   .   .   . | 3600 |    2    2 |    1    4   1 |   2   2
--------------+------+-----------+---------------+--------
.   x   .   . |    2 | 3600    * |    1    2   0 |   2   1
.   .   x   . |    2 |    * 3600 |    0    2   1 |   1   2
--------------+------+-----------+---------------+--------
o3/2x   .   . |    3 |    3    0 | 1200    *   * |   2   0
.   x5/3x   . |   10 |    5    5 |    * 1440   * |   1   1
.   .   x5/4o |    5 |    0    5 |    *    * 720 |   0   2
--------------+------+-----------+---------------+--------
o3/2x5/3x   . ♦   60 |   60   30 |   20   12   0 | 120   *
.   x5/3x5/4o ♦   60 |   30   60 |    0   12  12 |   * 120