Acronym tex
Name truncated hexacosachoron

` ©`
Cross sections
` ©`
Circumradius sqrt[(23+9 sqrt(5))/2] = 4.643523
Vertex figure
` ©`
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: gad ike ti tut tiffix 120 0 120 0 tex 0 120 0 600
)
Dihedral angles
• at {6} between tut and tut:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
• at {3} between ike and tut:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
Confer
related CRFs:
ike || u-ike || ti
related isogonals:
bhidtex
External
links

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

Note that tex can be thought of as the external blend of 1 rahi + 600 further tetaltuts + 720 peppypies + 120 ikaids. This decomposition is described as the (also subdimensioanlly) degenerate segmentoteron ox3ox3xo5oo&#x.

Incidence matrix according to Dynkin symbol

```x3x3o5o

. . . . | 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   *
. x3o5o ♦   12 |   0   30 |    0   20 |   * 120

snubbed forms: β3x3o5o, x3β3o5o, β3β3o5o
```

```x3x3o5/4o

. . .   . | 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   *
. x3o5/4o ♦   12 |   0   30 |    0   20 |   * 120
```

```x3x3/2o5o

. .   . . | 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   *
. x3/2o5o ♦   12 |   0   30 |    0   20 |   * 120
```

```x3x3/2o5/4o

. .   .   . | 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   *
. x3/2o5/4o ♦   12 |   0   30 |    0   20 |   * 120
```

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