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 12001200
tex 01200600
)
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  
External
links
hedrondude   wikipedia   WikiChoron   quickfur

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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