Acronym	tiffix
Name	truncated faceted hexacosichoron
Cross sections	©
Circumradius	sqrt[(23+9 sqrt(5))/2] = 4.643523
General of army	tex
Colonel of regiment	tex
Face vector	1440, 4320, 2640, 240
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope tiffix is isomorphic to tigfix, thereby replacing the pentagons by pentagrams, resp. replacing ti by tiggy and replacing gad by sissid. – As such tiffix is a lieutenant.

Incidence matrix according to Dynkin symbol

x3x5o5/2o

. . .   . | 1440 |   1    5 |    5    5 |   5   1
----------+------+----------+-----------+--------
x . .   . |    2 | 720    * |    5    0 |   5   0
. x .   . |    2 |   * 3600 |    1    2 |   2   1
----------+------+----------+-----------+--------
x3x .   . |    3 |   3    3 | 1200    * |   2   0
. x5o   . |   10 |   0    5 |    * 1440 |   1   1
----------+------+----------+-----------+--------
x3x5o   . ♦   60 |  30   60 |   20   12 | 120   *
. x5o5/2o ♦   12 |   0   30 |    0   12 |   * 120

snubbed forms: β3β5o5/2o

x3x5o5/3o

. . .   . | 1440 |   1    5 |    5    5 |   5   1
----------+------+----------+-----------+--------
x . .   . |    2 | 720    * |    5    0 |   5   0
. x .   . |    2 |   * 3600 |    1    2 |   2   1
----------+------+----------+-----------+--------
x3x .   . |    3 |   3    3 | 1200    * |   2   0
. x5o   . |   10 |   0    5 |    * 1440 |   1   1
----------+------+----------+-----------+--------
x3x5o   . ♦   60 |  30   60 |   20   12 | 120   *
. x5o5/3o ♦   12 |   0   30 |    0   12 |   * 120

x3x5/4o5/2o

. .   .   . | 1440 |   1    5 |    5    5 |   5   1
------------+------+----------+-----------+--------
x .   .   . |    2 | 720    * |    5    0 |   5   0
. x   .   . |    2 |   * 3600 |    1    2 |   2   1
------------+------+----------+-----------+--------
x3x   .   . |    3 |   3    3 | 1200    * |   2   0
. x5/4o   . |   10 |   0    5 |    * 1440 |   1   1
------------+------+----------+-----------+--------
x3x5/4o   . ♦   60 |  30   60 |   20   12 | 120   *
. x5/4o5/2o ♦   12 |   0   30 |    0   12 |   * 120

x3x5/4o5/3o

. .   .   . | 1440 |   1    5 |    5    5 |   5   1
------------+------+----------+-----------+--------
x .   .   . |    2 | 720    * |    5    0 |   5   0
. x   .   . |    2 |   * 3600 |    1    2 |   2   1
------------+------+----------+-----------+--------
x3x   .   . |    3 |   3    3 | 1200    * |   2   0
. x5/4o   . |   10 |   0    5 |    * 1440 |   1   1
------------+------+----------+-----------+--------
x3x5/4o   . ♦   60 |  30   60 |   20   12 | 120   *
. x5/4o5/3o ♦   12 |   0   30 |    0   12 |   * 120