Acronym thaxa
Name thax alterprism,
medial segment of sirhesa
Circumradius sqrt(39/8) = 2.207940
Lace city
in approx. ASCII-art
t   u   U   T		-- x3x3o *b3o3o3o (thax)
             
T   U   u   t		-- o3x3x *b3o3o3o (alt. thax)

where:
t = x3x3o *b3o3o (thin)
T = o3x3x *b3o3o (alt. thin)
u = u3o3x *b3o3o ((u,x)-rin)
U = x3o3u *b3o3o ((x,u)-rin)
Face vector 960, 5280, 9280, 7600, 3352, 788, 78
Confer
uniform relative:
sirhesa  
general polytopal classes:
segmentoexa   lace simplices   scaliform  

Incidence matrix according to Dynkin symbol

xo3xx3ox *b3oo3oo3oo&#x   → height = 1/sqrt(2) = 0.707107
(thax || alt. thax)

o.3o.3o. *b3o.3o.3o.    & | 960 |   1    8   2 |    8    4   12   3    8 |   4  12   6    8   12   1   12 |   6   8   4   2   4  18   8 |  4  2  1  6  12   2 | 1  4  3
--------------------------+-----+--------------+-------------------------+--------------------------------+-----------------------------+---------------------+--------
x. .. ..    .. .. ..    & |   2 | 480    *   * |    8    0    0   2    0 |   4  12   0    0    8   1    0 |   6   8   0   0   4  12   0 |  4  2  0  6   8   0 | 1  4  2
.. x. ..    .. .. ..    & |   2 |   * 3840   * |    1    1    3   0    1 |   1   3   3    3    2   0    3 |   3   3   3   1   1   6   3 |  3  1  1  3   6   1 | 1  3  2
oo3oo3oo *b3oo3oo3oo&#x   |   2 |   *    * 960 |    0    0    0   2    4 |   0   0   0    0    8   1    6 |   0   0   0   0   4  12   4 |  0  0  0  6   8   1 | 0  4  2
--------------------------+-----+--------------+-------------------------+--------------------------------+-----------------------------+---------------------+--------
x.3x. ..    .. .. ..    & |   6 |   3    3   0 | 1280    *    *   *    * |   1   3   0    0    1   0    0 |   3   3   0   0   1   3   0 |  3  1  0  3   3   0 | 1  3  1
.. x.3o.    .. .. ..    & |   3 |   0    3   0 |    * 1280    *   *    * |   1   0   3    0    1   0    0 |   3   0   3   0   1   3   0 |  3  0  1  3   3   0 | 1  3  1
.. x. .. *b3o. .. ..    & |   3 |   0    3   0 |    *    * 3840   *    * |   0   1   1    2    0   0    1 |   1   2   2   1   0   2   2 |  2  1  1  1   4   1 | 1  2  2
xo .. ..    .. .. ..&#x & |   3 |   1    0   2 |    *    *    * 960    * |   0   0   0    0    4   1    0 |   0   0   0   0   4   6   0 |  0  0  0  6   4   0 | 0  4  1
.. xx ..    .. .. ..&#x   |   4 |   0    2   2 |    *    *    *   * 1920 |   0   0   0    0    2   0    3 |   0   0   0   0   1   6   3 |  0  0  0  3   6   1 | 0  3  2
--------------------------+-----+--------------+-------------------------+--------------------------------+-----------------------------+---------------------+--------
x.3x.3o.    .. .. ..    &   12 |   6   12   0 |    4    4    0   0    0 | 320   *   *    *    *   *    * |   3   0   0   0   1   0   0 |  3  0  0  3   0   0 | 1  3  0
x.3x. .. *b3o. .. ..    &   12 |   6   12   0 |    4    0    4   0    0 |   * 960   *    *    *   *    * |   1   2   0   0   0   1   0 |  2  1  0  1   2   0 | 1  2  1
.. x.3o. *b3o. .. ..    &    6 |   0   12   0 |    0    4    4   0    0 |   *   * 960    *    *   *    * |   1   0   2   0   0   1   0 |  2  0  1  1   2   0 | 1  2  1
.. x. .. *b3o.3o. ..    &    4 |   0    6   0 |    0    0    4   0    0 |   *   *   * 1920    *   *    * |   0   1   1   1   0   0   1 |  1  1  1  0   2   1 | 1  1  2
xo3xx ..    .. .. ..&#x &    9 |   3    6   6 |    1    1    0   3    3 |   *   *   *    * 1280   *    * |   0   0   0   0   1   3   0 |  0  0  0  3   3   0 | 0  3  1
xo .. ox    .. .. ..&#x      4 |   2    0   4 |    0    0    0   4    0 |   *   *   *    *    * 240    *    0   0   0   0   4   0   0 |  0  0  0  6   0   0 | 0  4  0
.. xx .. *b3oo .. ..&#x      6 |   0    6   3 |    0    0    2   0    3 |   *   *   *    *    *   * 1920 |   0   0   0   0   0   2   2 |  0  0  0  1   4   1 | 0  2  2
--------------------------+-----+--------------+-------------------------+--------------------------------+-----------------------------+---------------------+--------
x.3x.3o. *b3o. .. ..    &   48 |  24   96   0 |   32   32   32   0    0 |   8   8   8    0    0   0    0 | 120   *   *   *   *   *   * |  2  0  0  1   0   0 | 1  2  0
x.3x. .. *b3o.3o. ..    &   20 |  10   30   0 |   10    0   20   0    0 |   0   5   0    5    0   0    0 |   * 384   *   *   *   *   * |  1  1  0  0   1   0 | 1  1  1
.. x.3o. *b3o.3o. ..    &   10 |   0   30   0 |    0   10   20   0    0 |   0   0   5    5    0   0    0 |   *   * 384   *   *   *   * |  1  0  1  0   1   0 | 1  1  1
.. x. .. *b3o.3o.3o.    &    5 |   0   10   0 |    0    0   10   0    0 |   0   0   0    5    0   0    0 |   *   *   * 384   *   *   * |  0  1  1  0   0   1 | 1  0  2
xo3xx3ox    .. .. ..&#x     24 |  12   24  24 |    8    8    0  24   12 |   2   0   0    0    8   6    0 |   *   *   *   * 160   *   * |  0  0  0  3   0   0 | 0  3  0
xo3xx .. *b3oo .. ..&#x &   18 |   6   24  12 |    4    4    8   6   12 |   0   1   1    0    4   0    4 |   *   *   *   *   * 960   * |  0  0  0  1   2   0 | 0  2  1
.. xx .. *b3oo3oo ..&#x      8 |   0   12   4 |    0    0    8   0    6 |   0   0   0    2    0   0    4 |   *   *   *   *   *   * 960 |  0  0  0  0   2   1 | 0  1  2
--------------------------+-----+--------------+-------------------------+--------------------------------+-----------------------------+---------------------+--------
x.3x.3o. *b3o.3o. ..    &  160 |  80  480   0 |  160  160  320   0    0 |  40  80  80   80    0   0    0 |  10  16  16   0   0   0   0 | 24  *  *  *   *   * | 1  1  0
x.3x. .. *b3o.3o.3o.    &   30 |  15   60   0 |   20    0   60   0    0 |   0  15   0   30    0   0    0 |   0   6   0   6   0   0   0 |  * 64  *  *   *   * | 1  0  1
.. x.3o. *b3o.3o.3o.    &   15 |   0   60   0 |    0   20   60   0    0 |   0   0  15   30    0   0    0 |   0   0   6   6   0   0   0 |  *  * 64  *   *   * | 1  0  1
xo3xx3ox *b3oo .. ..&#x     96 |  48  192  96 |   64   64   64  96   96 |  16  16  16    0   64  24   32 |   2   0   0   0   8  16   0 |  *  *  * 60   *   * | 0  2  0
xo3xx .. *b3oo3oo ..&#x &   30 |  10   60  20 |   10   10   40  10   30 |   0   5   5   10   10   0   20 |   0   1   1   0   0   5   5 |  *  *  *  * 384   * | 0  1  1
.. xx .. *b3oo3oo3oo&#x     10 |   0   20   5 |    0    0   20   0   10 |   0   0   0   10    0   0   10 |   0   0   0   2   0   0   5 |  *  *  *  *   * 192 | 0  0  2
--------------------------+-----+--------------+-------------------------+--------------------------------+-----------------------------+---------------------+--------
x.3x.3o. *b3o.3o.3o.       480 | 240 1920   0 |  640  640 1920   0    0 | 160 480 480  960    0   0    0 |  60 192 192 192   0   0   0 | 12 32 32  0   0   0 | 2  *  *
xo3xx3ox *b3oo3oo ..&#x    320 | 160  960 320 |  320  320  640 320  480 |  80 160 160  160  320  80  320 |  20  32  32   0  40 160  80 |  2  0  0 10  32   0 | * 12  *
xo3xx .. *b3oo3oo3oo&#x &   45 |  15  120  30 |   20   20  120  15   60 |   0  15  15   60   20   0   60 |   0   6   6  12   0  15  30 |  0  1  1  0   6   6 | *  * 64

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