Acronym	taggix
Name	truncated grand hexacosachoron
Cross sections	©
Circumradius	sqrt[(23-9 sqrt(5))/2] = 1.199039
Face vector	1440, 4320, 3600, 720
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope taggix is isomorphic to tex, thereby replacing the pentagrammal edge figures by pentagonal ones, resp. replacing gike by ike. – As such taggix is a lieutenant.

Incidence matrix according to Dynkin symbol

x3x3o5/2o

. . .   . | 1440 |   1    5 |    5    5 |   5   1
----------+------+----------+-----------+--------
x . .   . |    2 | 720    * |    5    0 |   5   0
. x .   . |    2 |   * 3600 |    1    2 |   2   1
----------+------+----------+-----------+--------
x3x .   . |    6 |   3    3 | 1200    * |   2   0
. x3o   . |    3 |   0    3 |    * 2400 |   1   1
----------+------+----------+-----------+--------
x3x3o   . ♦   12 |   6   12 |    4    4 | 600   *
. x3o5/2o ♦   12 |   0   30 |    0   20 |   * 120

x3x3o5/3o

. . .   . | 1440 |   1    5 |    5    5 |   5   1
----------+------+----------+-----------+--------
x . .   . |    2 | 720    * |    5    0 |   5   0
. x .   . |    2 |   * 3600 |    1    2 |   2   1
----------+------+----------+-----------+--------
x3x .   . |    6 |   3    3 | 1200    * |   2   0
. x3o   . |    3 |   0    3 |    * 2400 |   1   1
----------+------+----------+-----------+--------
x3x3o   . ♦   12 |   6   12 |    4    4 | 600   *
. x3o5/3o ♦   12 |   0   30 |    0   20 |   * 120

x3x3/2o5/2o

. .   .   . | 1440 |   1    5 |    5    5 |   5   1
------------+------+----------+-----------+--------
x .   .   . |    2 | 720    * |    5    0 |   5   0
. x   .   . |    2 |   * 3600 |    1    2 |   2   1
------------+------+----------+-----------+--------
x3x   .   . |    6 |   3    3 | 1200    * |   2   0
. x3/2o   . |    3 |   0    3 |    * 2400 |   1   1
------------+------+----------+-----------+--------
x3x3/2o   . ♦   12 |   6   12 |    4    4 | 600   *
. x3/2o5/2o ♦   12 |   0   30 |    0   20 |   * 120

x3x3/2o5/3o

. .   .   . | 1440 |   1    5 |    5    5 |   5   1
------------+------+----------+-----------+--------
x .   .   . |    2 | 720    * |    5    0 |   5   0
. x   .   . |    2 |   * 3600 |    1    2 |   2   1
------------+------+----------+-----------+--------
x3x   .   . |    6 |   3    3 | 1200    * |   2   0
. x3/2o   . |    3 |   0    3 |    * 2400 |   1   1
------------+------+----------+-----------+--------
x3x3/2o   . ♦   12 |   6   12 |    4    4 | 600   *
. x3/2o5/3o ♦   12 |   0   30 |    0   20 |   * 120