Acronym	taghi
Name	truncated grand hecatonicosachoron
Cross sections	©
Circumradius	sqrt[(13+5 sqrt(5))/2] = 3.477092
Face vector	1440, 4320, 3120, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope taghi is isomorphic to quit gishi, thereby replacing the decagons by decagrams, resp. replacing tid by quit gissid and replacing gike by ike. – As such taghi is a lieutenant.

Incidence matrix according to Dynkin symbol

x5x3o5/2o

. . .   . | 1440 |   1    5 |   5    5 |   5   1
----------+------+----------+----------+--------
x . .   . |    2 | 720    * |   5    0 |   5   0
. x .   . |    2 |   * 3600 |   1    2 |   2   1
----------+------+----------+----------+--------
x5x .   . |   10 |   5    5 | 720    * |   2   0
. x3o   . |    3 |   0    3 |   * 2400 |   1   1
----------+------+----------+----------+--------
x5x3o   . ♦   60 |  30   60 |  12   20 | 120   *
. x3o5/2o ♦   12 |   0   30 |   0   20 |   * 120

x5x3o5/3o

. . .   . | 1440 |   1    5 |   5    5 |   5   1
----------+------+----------+----------+--------
x . .   . |    2 | 720    * |   5    0 |   5   0
. x .   . |    2 |   * 3600 |   1    2 |   2   1
----------+------+----------+----------+--------
x5x .   . |   10 |   5    5 | 720    * |   2   0
. x3o   . |    3 |   0    3 |   * 2400 |   1   1
----------+------+----------+----------+--------
x5x3o   . ♦   60 |  30   60 |  12   20 | 120   *
. x3o5/3o ♦   12 |   0   30 |   0   20 |   * 120

x5x3/2o5/2o

. .   .   . | 1440 |   1    5 |   5    5 |   5   1
------------+------+----------+----------+--------
x .   .   . |    2 | 720    * |   5    0 |   5   0
. x   .   . |    2 |   * 3600 |   1    2 |   2   1
------------+------+----------+----------+--------
x5x   .   . |   10 |   5    5 | 720    * |   2   0
. x3/2o   . |    3 |   0    3 |   * 2400 |   1   1
------------+------+----------+----------+--------
x5x3/2o   . ♦   60 |  30   60 |  12   20 | 120   *
. x3/2o5/2o ♦   12 |   0   30 |   0   20 |   * 120

x5x3/2o5/3o

. .   .   . | 1440 |   1    5 |   5    5 |   5   1
------------+------+----------+----------+--------
x .   .   . |    2 | 720    * |   5    0 |   5   0
. x   .   . |    2 |   * 3600 |   1    2 |   2   1
------------+------+----------+----------+--------
x5x   .   . |   10 |   5    5 | 720    * |   2   0
. x3/2o   . |    3 |   0    3 |   * 2400 |   1   1
------------+------+----------+----------+--------
x5x3/2o   . ♦   60 |  30   60 |  12   20 | 120   *
. x3/2o5/3o ♦   12 |   0   30 |   0   20 |   * 120