Acronym forx
Name facetorectified hexeract
Circumradius sqrt(5/2) = 1.581139
Inradius
wrt. hix
5/sqrt(12) = 1.443376
Inradius
wrt. tix
-sqrt(3)/2 = -0.866025
Inradius
wrt. bittix
1/sqrt(12) = 0.288675
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
Volume 488/45 = 10.844444
Surface 256 sqrt(3) = 443.405007
General of army rax
Colonel of regiment rax
Dihedral angles
(at margins)
Confer
analogs:
facetorectified hypercube frCn  

This polypeton could also be understood as a modwrap of cytaxh.

Forx has firns for pseudo facets.


Incidence matrix according to Dynkin symbol

x3x3o3o3o3o3/2*a

. . . . . .      | 192 |   5   5 |  20  10  10 |  30  30  10  10 |  20  30  20   5   5 |  5 10 10  5  1  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x . . . . .      |   2 | 480   * |   4   4   0 |   6  12   6   0 |   4  12  12   4   0 |  1  4  6  4  1  0
. x . . . .      |   2 |   * 480 |   4   0   4 |  12   6   0   6 |  12  12   4   0   4 |  4  6  4  1  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x . . . .      |   6 |   3   3 | 640   *   * |   3   3   0   0 |   3   6   3   0   0 |  1  3  3  1  0  0
x . . . . o3/2*a |   3 |   3   0 |   * 640   * |   0   3   3   0 |   0   3   6   3   0 |  0  1  3  3  1  0
. x3o . . .      |   3 |   0   3 |   *   * 640 |   3   0   0   3 |   6   3   0   0   3 |  3  3  1  0  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x3o . . .        12 |   6  12 |   4   0   4 | 480   *   *   * |   2   2   0   0   0 |  1  2  1  0  0  0
x3x . . . o3/2*a   12 |  12   6 |   4   4   0 |   * 480   *   * |   0   2   2   0   0 |  0  1  2  1  0  0
x . . . o3o3/2*a    4 |   6   0 |   0   4   0 |   *   * 480   * |   0   0   2   2   0 |  0  0  1  2  1  0
. x3o3o . .         4 |   0   6 |   0   0   4 |   *   *   * 480 |   2   0   0   0   2 |  2  1  0  0  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x3o3o . .        20 |  10  30 |  10   0  20 |   5   0   0   5 | 192   *   *   *   * |  1  1  0  0  0  0
x3x3o . . o3/2*a   30 |  30  30 |  20  10  10 |   5   5   0   0 |   * 192   *   *   * |  0  1  1  0  0  0
x3x . . o3o3/2*a   20 |  30  10 |  10  20   0 |   0   5   5   0 |   *   * 192   *   * |  0  0  1  1  0  0
x . . o3o3o3/2*a    5 |  10   0 |   0  10   0 |   0   0   5   0 |   *   *   * 192   * |  0  0  0  1  1  0
. x3o3o3o .         5 |   0  10 |   0   0  10 |   0   0   0   5 |   *   *   *   * 192 |  1  0  0  0  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x3o3o3o .        30 |  15  60 |  20   0  60 |  15   0   0  30 |   6   0   0   0   6 | 32  *  *  *  *  *
x3x3o3o . o3/2*a   60 |  60  90 |  60  20  60 |  30  15   0  15 |   6   6   0   0   0 |  * 32  *  *  *  *
x3x3o . o3o3/2*a   60 |  90  60 |  60  60  20 |  15  30  15   0 |   0   6   6   0   0 |  *  * 32  *  *  *
x3x . o3o3o3/2*a   30 |  60  15 |  20  60   0 |   0  15  30   0 |   0   0   6   6   0 |  *  *  * 32  *  *
x . o3o3o3o3/2*a    6 |  15   0 |   0  20   0 |   0   0  15   0 |   0   0   0   6   0 |  *  *  *  * 32  *
. x3o3o3o3o         6 |   0  15 |   0   0  20 |   0   0   0  15 |   0   0   0   0   6 |  *  *  *  *  * 32
or
. . . . . .        | 192 |  10 |  20   20 |  60  20 |  40  30  10 | 10 20  2
-------------------+-----+-----+----------+---------+-------------+---------
x . . . . .      & |   2 | 960 |   4    4 |  18   6 |  16  12   4 |  5 10  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x . . . .        |   6 |   6 | 640    * |   6   0 |   6   6   0 |  2  6  0
x . . . . o3/2*a & |   3 |   3 |   * 1280 |   3   3 |   6   3   3 |  3  4  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x3o . . .      &   12 |  18 |   4    4 | 960   * |   2   2   0 |  1  3  0
x . . . o3o3/2*a &    4 |   6 |   0    4 |   * 960 |   2   0   2 |  2  1  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x3o3o . .      &   20 |  40 |  10   20 |   5   5 | 384   *   * |  1  1  0
x3x3o . . o3/2*a     30 |  60 |  20   20 |  10   0 |   * 192   * |  0  2  0
x . . o3o3o3/2*a &    5 |  10 |   0   10 |   0   5 |   *   * 384 |  1  0  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x3o3o3o .      &   30 |  75 |  20   60 |  15  30 |   6   0   6 | 64  *  *
x3x3o3o . o3/2*a &   60 | 150 |  60   80 |  45  15 |   6   6   0 |  * 64  *
x . o3o3o3o3/2*a &    6 |  15 |   0   20 |   0  15 |   0   0   6 |  *  * 64

x3x3o3o3o3/2o3*a

. . . . .   .    | 192 |   5   5 |  20  10  10 |  30  30  10  10 |  20  30  20   5   5 |  5 10 10  5  1  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x . . . .   .    |   2 | 480   * |   4   4   0 |   6  12   6   0 |   4  12  12   4   0 |  1  4  6  4  1  0
. x . . .   .    |   2 |   * 480 |   4   0   4 |  12   6   0   6 |  12  12   4   0   4 |  4  6  4  1  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x . . .   .    |   6 |   3   3 | 640   *   * |   3   3   0   0 |   3   6   3   0   0 |  1  3  3  1  0  0
x . . . .   o3*a |   3 |   3   0 |   * 640   * |   0   3   3   0 |   0   3   6   3   0 |  0  1  3  3  1  0
. x3o . .   .    |   3 |   0   3 |   *   * 640 |   3   0   0   3 |   6   3   0   0   3 |  3  3  1  0  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x3o . .   .      12 |   6  12 |   4   0   4 | 480   *   *   * |   2   2   0   0   0 |  1  2  1  0  0  0
x3x . . .   o3*a   12 |  12   6 |   4   4   0 |   * 480   *   * |   0   2   2   0   0 |  0  1  2  1  0  0
x . . . o3/2o3*a    4 |   6   0 |   0   4   0 |   *   * 480   * |   0   0   2   2   0 |  0  0  1  2  1  0
. x3o3o .   .       4 |   0   6 |   0   0   4 |   *   *   * 480 |   2   0   0   0   2 |  2  1  0  0  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x3o3o .   .      20 |  10  30 |  10   0  20 |   5   0   0   5 | 192   *   *   *   * |  1  1  0  0  0  0
x3x3o . .   o3*a   30 |  30  30 |  20  10  10 |   5   5   0   0 |   * 192   *   *   * |  0  1  1  0  0  0
x3x . . o3/2o3*a   20 |  30  10 |  10  20   0 |   0   5   5   0 |   *   * 192   *   * |  0  0  1  1  0  0
x . . o3o3/2o3*a    5 |  10   0 |   0  10   0 |   0   0   5   0 |   *   *   * 192   * |  0  0  0  1  1  0
. x3o3o3o   .       5 |   0  10 |   0   0  10 |   0   0   0   5 |   *   *   *   * 192 |  1  0  0  0  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x3o3o3o   .      30 |  15  60 |  20   0  60 |  15   0   0  30 |   6   0   0   0   6 | 32  *  *  *  *  *
x3x3o3o .   o3*a   60 |  60  90 |  60  20  60 |  30  15   0  15 |   6   6   0   0   0 |  * 32  *  *  *  *
x3x3o . o3/2o3*a   60 |  90  60 |  60  60  20 |  15  30  15   0 |   0   6   6   0   0 |  *  * 32  *  *  *
x3x . o3o3/2o3*a   30 |  60  15 |  20  60   0 |   0  15  30   0 |   0   0   6   6   0 |  *  *  * 32  *  *
x . o3o3o3/2o3*a    6 |  15   0 |   0  20   0 |   0   0  15   0 |   0   0   0   6   0 |  *  *  *  * 32  *
. x3o3o3o3/2o       6 |   0  15 |   0   0  20 |   0   0   0  15 |   0   0   0   0   6 |  *  *  *  *  * 32
or
. . . . .   .      | 192 |  10 |  20   20 |  60  20 |  40  30  10 | 10 20  2
-------------------+-----+-----+----------+---------+-------------+---------
x . . . .   .    & |   2 | 960 |   4    4 |  18   6 |  16  12   4 |  5 10  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x . . .   .      |   6 |   6 | 640    * |   6   0 |   6   6   0 |  2  6  0
x . . . .   o3*a & |   3 |   3 |   * 1280 |   3   3 |   6   3   3 |  3  4  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x3o . .   .    &   12 |  18 |   4    4 | 960   * |   2   2   0 |  1  3  0
x . . . o3/2o3*a &    4 |   6 |   0    4 |   * 960 |   2   0   2 |  2  1  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x3o3o .   .    &   20 |  40 |  10   20 |   5   5 | 384   *   * |  1  1  0
x3x3o . .   o3*a     30 |  60 |  20   20 |  10   0 |   * 192   * |  0  2  0
x . . o3o3/2o3*a &    5 |  10 |   0   10 |   0   5 |   *   * 384 |  1  0  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x3o3o3o   .    &   30 |  75 |  20   60 |  15  30 |   6   0   6 | 64  *  *
x3x3o3o .   o3*a &   60 | 150 |  60   80 |  45  15 |   6   6   0 |  * 64  *
x . o3o3o3/2o3*a &    6 |  15 |   0   20 |   0  15 |   0   0   6 |  *  * 64

x3x3o3o3/2o3o3*a

. . . .   . .    | 192 |   5   5 |  20  10  10 |  30  30  10  10 |  20  30  20   5   5 |  5 10 10  5  1  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x . . .   . .    |   2 | 480   * |   4   4   0 |   6  12   6   0 |   4  12  12   4   0 |  1  4  6  4  1  0
. x . .   . .    |   2 |   * 480 |   4   0   4 |  12   6   0   6 |  12  12   4   0   4 |  4  6  4  1  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x . .   . .    |   6 |   3   3 | 640   *   * |   3   3   0   0 |   3   6   3   0   0 |  1  3  3  1  0  0
x . . .   . o3*a |   3 |   3   0 |   * 640   * |   0   3   3   0 |   0   3   6   3   0 |  0  1  3  3  1  0
. x3o .   . .    |   3 |   0   3 |   *   * 640 |   3   0   0   3 |   6   3   0   0   3 |  3  3  1  0  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x3o .   . .      12 |   6  12 |   4   0   4 | 480   *   *   * |   2   2   0   0   0 |  1  2  1  0  0  0
x3x . .   . o3*a   12 |  12   6 |   4   4   0 |   * 480   *   * |   0   2   2   0   0 |  0  1  2  1  0  0
x . . .   o3o3*a    4 |   6   0 |   0   4   0 |   *   * 480   * |   0   0   2   2   0 |  0  0  1  2  1  0
. x3o3o   . .       4 |   0   6 |   0   0   4 |   *   *   * 480 |   2   0   0   0   2 |  2  1  0  0  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x3o3o   . .      20 |  10  30 |  10   0  20 |   5   0   0   5 | 192   *   *   *   * |  1  1  0  0  0  0
x3x3o .   . o3*a   30 |  30  30 |  20  10  10 |   5   5   0   0 |   * 192   *   *   * |  0  1  1  0  0  0
x3x . .   o3o3*a   20 |  30  10 |  10  20   0 |   0   5   5   0 |   *   * 192   *   * |  0  0  1  1  0  0
x . . o3/2o3o3*a    5 |  10   0 |   0  10   0 |   0   0   5   0 |   *   *   * 192   * |  0  0  0  1  1  0
. x3o3o3/2o .       5 |   0  10 |   0   0  10 |   0   0   0   5 |   *   *   *   * 192 |  1  0  0  0  0  1
-----------------+-----+---------+-------------+-----------------+---------------------+------------------
x3x3o3o3/2o .      30 |  15  60 |  20   0  60 |  15   0   0  30 |   6   0   0   0   6 | 32  *  *  *  *  *
x3x3o3o   . o3*a   60 |  60  90 |  60  20  60 |  30  15   0  15 |   6   6   0   0   0 |  * 32  *  *  *  *
x3x3o .   o3o3*a   60 |  90  60 |  60  60  20 |  15  30  15   0 |   0   6   6   0   0 |  *  * 32  *  *  *
x3x . o3/2o3o3*a   30 |  60  15 |  20  60   0 |   0  15  30   0 |   0   0   6   6   0 |  *  *  * 32  *  *
x . o3o3/2o3o3*a    6 |  15   0 |   0  20   0 |   0   0  15   0 |   0   0   0   6   0 |  *  *  *  * 32  *
. x3o3o3/2o3o       6 |   0  15 |   0   0  20 |   0   0   0  15 |   0   0   0   0   6 |  *  *  *  *  * 32
or
. . . .   . .      | 192 |  10 |  20   20 |  60  20 |  40  30  10 | 10 20  2
-------------------+-----+-----+----------+---------+-------------+---------
x . . .   . .    & |   2 | 960 |   4    4 |  18   6 |  16  12   4 |  5 10  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x . .   . .      |   6 |   6 | 640    * |   6   0 |   6   6   0 |  2  6  0
x . . .   . o3*a & |   3 |   3 |   * 1280 |   3   3 |   6   3   3 |  3  4  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x3o .   . .    &   12 |  18 |   4    4 | 960   * |   2   2   0 |  1  3  0
x . . .   o3o3*a &    4 |   6 |   0    4 |   * 960 |   2   0   2 |  2  1  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x3o3o   . .    &   20 |  40 |  10   20 |   5   5 | 384   *   * |  1  1  0
x3x3o .   . o3*a     30 |  60 |  20   20 |  10   0 |   * 192   * |  0  2  0
x . . o3/2o3o3*a &    5 |  10 |   0   10 |   0   5 |   *   * 384 |  1  0  1
-------------------+-----+-----+----------+---------+-------------+---------
x3x3o3o3/2o .    &   30 |  75 |  20   60 |  15  30 |   6   0   6 | 64  *  *
x3x3o3o   . o3*a &   60 | 150 |  60   80 |  45  15 |   6   6   0 |  * 64  *
x . o3o3/2o3o3*a &    6 |  15 |   0   20 |   0  15 |   0   0   6 |  *  * 64

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