Acronym sirhina
Name sirhin alterprism,
medial segment of sophax
Circumradius sqrt(11)/2 = 1.658312
Lace city
in approx. ASCII-art
R t T r		-- x3o3o *b3x3o (sirhin)
r T t R		-- o3o3x *b3x3o (alt. sirhin)

where:
r = o3o3x *b3x (rit)
R = x3o3o *b3x (gyro rit)
t = x3x3o *b3o (thex)
T = o3x3x *b3o (gyro thex)
Confer
uniform relative:
sophax  
general polytopal classes:
segmentopeta   scaliform  

Incidence matrix according to Dynkin symbol

xo3oo3ox *b3xx3oo&#x   → height = 1/sqrt(2) = 0.707107
(sirhin || alt. sirhin)

o.3o.3o. *b3o.3o.    & | 320 |   3   6   3 |   3   6   6   3   9  12 |  1   6   3   2   3   4   3  18   6   6 |  2  3  1  1   8   6   9  3 | 1  2  4  3
-----------------------+-----+-------------+-------------------------+----------------------------------------+----------------------------+-----------
x. .. ..    .. ..    & |   2 | 480   *   * |   2   2   0   0   2   0 |  1   4   1   0   0   2   1   4   0   0 |  2  2  0  1   4   2   2  0 | 1  2  2  1
.. .. ..    x. ..    & |   2 |   * 960   * |   0   1   2   1   0   2 |  0   2   1   1   2   0   0   3   2   2 |  1  2  1  0   3   1   3  2 | 1  1  3  1
oo3oo3oo *b3oo3oo&#x   |   2 |   *   * 480 |   0   0   0   0   4   4 |  0   0   0   0   0   2   2   8   2   2 |  0  0  0  1   4   4   4  1 | 0  2  2  2
-----------------------+-----+-------------+-------------------------+----------------------------------------+----------------------------+-----------
x.3o. ..    .. ..    & |   3 |   3   0   0 | 320   *   *   *   *   * |  1   2   0   0   0   1   0   0   0   0 |  2  1  0  1   2   0   0  0 | 1  2  1  0
x. .. ..    x. ..    & |   4 |   2   2   0 |   * 480   *   *   *   * |  0   2   1   0   0   0   0   2   0   0 |  1  2  0  0   2   1   2  0 | 1  1  2  1
.. o. .. *b3x. ..    & |   3 |   0   3   0 |   *   * 640   *   *   * |  0   1   0   1   1   0   0   0   1   0 |  1  1  1  0   2   0   0  1 | 1  1  2  0
.. .. ..    x.3o.    & |   3 |   0   3   0 |   *   *   * 320   *   * |  0   0   1   0   2   0   0   0   0   2 |  0  2  1  0   0   0   3  2 | 1  0  3  1
xo .. ..    .. ..&#x & |   3 |   1   0   2 |   *   *   *   * 960   * |  0   0   0   0   0   1   1   2   0   0 |  0  0  0  1   2   2   1  0 | 0  2  1  1
.. .. ..    xx ..&#x   |   4 |   0   2   2 |   *   *   *   *   * 960 |  0   0   0   0   0   0   0   2   1   1 |  0  0  0  0   2   1   2  1 | 0  1  2  1
-----------------------+-----+-------------+-------------------------+----------------------------------------+----------------------------+-----------
x.3o.3o.    .. ..    &    4 |   6   0   0 |   4   0   0   0   0   0 | 80   *   *   *   *   *   *   *   *   * |  2  0  0  1   0   0   0  0 | 1  2  0  0
x.3o. .. *b3x. ..    &   12 |  12  12   0 |   4   6   4   0   0   0 |  * 160   *   *   *   *   *   *   *   * |  1  1  0  0   1   0   0  0 | 1  1  1  0
x. .. ..    x.3o.    &    6 |   3   6   0 |   0   3   0   2   0   0 |  *   * 160   *   *   *   *   *   *   * |  0  2  0  0   0   0   2  0 | 1  0  2  1
.. o.3o. *b3x. ..    &    4 |   0   6   0 |   0   0   4   0   0   0 |  *   *   * 160   *   *   *   *   *   * |  1  0  1  0   1   0   0  0 | 1  1  1  0
.. o. .. *b3x.3o.    &    6 |   0  12   0 |   0   0   4   4   0   0 |  *   *   *   * 160   *   *   *   *   * |  0  1  1  0   0   0   0  1 | 1  0  2  0
xo3oo ..    .. ..&#x &    4 |   3   0   3 |   1   0   0   0   3   0 |  *   *   *   *   * 320   *   *   *   * |  0  0  0  1   2   0   0  0 | 0  2  1  0
xo .. ox    .. ..&#x      4 |   2   0   4 |   0   0   0   0   4   0 |  *   *   *   *   *   * 240   *   *   * |  0  0  0  1   0   2   0  0 | 0  2  0  1
xo .. ..    xx ..&#x &    6 |   2   3   4 |   0   1   0   0   2   2 |  *   *   *   *   *   *   * 960   *   * |  0  0  0  0   1   1   1  0 | 0  1  1  1
.. oo .. *b3xx ..&#x      6 |   0   6   3 |   0   0   2   0   0   3 |  *   *   *   *   *   *   *   * 320   * |  0  0  0  0   2   0   0  1 | 0  1  2  0
.. .. ..    xx3oo&#x      6 |   0   6   3 |   0   0   0   2   0   3 |  *   *   *   *   *   *   *   *   * 320 |  0  0  0  0   0   0   2  1 | 0  0  2  1
-----------------------+-----+-------------+-------------------------+----------------------------------------+----------------------------+-----------
x.3o.3o. *b3x. ..    &   32 |  48  48   0 |  32  24  32   0   0   0 |  8   8   0   8   0   0   0   0   0   0 | 20  *  *  *   *   *   *  * | 1  1  0  0
x.3o. .. *b3x.3o.    &   30 |  30  60   0 |  10  30  20  20   0   0 |  0   5  10   0   5   0   0   0   0   0 |  * 32  *  *   *   *   *  * | 1  0  1  0
.. o.3o. *b3x.3o.    &   10 |   0  30   0 |   0   0  20  10   0   0 |  0   0   0   5   5   0   0   0   0   0 |  *  * 32  *   *   *   *  * | 1  0  1  0
xo3oo3ox    .. ..&#x      8 |  12   0  12 |   8   0   0   0  24   0 |  2   0   0   0   0   8   6   0   0   0 |  *  *  * 40   *   *   *  * | 0  2  0  0
xo3oo .. *b3xx ..&#x &   16 |  12  18  12 |   4   6   8   0  12  12 |  0   1   0   1   0   4   0   6   4   0 |  *  *  *  * 160   *   *  * | 0  1  1  0
xo .. ox    xx ..&#x      8 |   4   4   8 |   0   2   0   0   8   4 |  0   0   0   0   0   0   2   4   0   0 |  *  *  *  *   * 240   *  * | 0  1  0  1
xo .. ..    xx3oo&#x &    9 |   3   9   6 |   0   3   0   3   3   6 |  0   0   1   0   0   0   0   3   0   2 |  *  *  *  *   *   * 320  * | 0  0  1  1
.. oo .. *b3xx3oo&#x     12 |   0  24   6 |   0   0   8   8   0  12 |  0   0   0   0   2   0   0   0   4   4 |  *  *  *  *   *   *   * 80 | 0  0  2  0
-----------------------+-----+-------------+-------------------------+----------------------------------------+----------------------------+-----------
x.3o.3o. *b3x.3o.    &  160 | 240 480   0 | 160 240 320 160   0   0 | 40  80  80  80  80   0   0   0   0   0 | 10 16 16  0   0   0   0  0 | 2  *  *  *
xo3oo3ox *b3xx ..&#x     64 |  96  96  96 |  64  48  64   0 192  96 | 16  16   0  16   0  64  48  96  32   0 |  2  0  0  8  16  24   0  0 | * 10  *  *
xo3oo .. *b3xx3oo&#x &   40 |  30  90  30 |  10  30  40  30  30  60 |  0   5  10   5  10  10   0  30  20  20 |  0  1  1  0   5   0  10  5 | *  * 32  *
xo .. ox    xx3oo&#x     12 |   6  12  12 |   0   6   0   4  12  12 |  0   0   2   0   0   0   3  12   0   4 |  0  0  0  0   0   3   4  0 | *  *  * 80

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