Acronym rixap
Name rectified-hexateron-alterprism prism,
rixip atop inverted rixip
Circumradius 1
Lace city
in approx. ASCII-art
R    R	-- x o3x3o3o3o (rixip)
r    r	-- x o3o3o3x3o (inv. rixip)

|    +-- oo3xo3oo3ox3oo&#x (rixa)
+------- oo3xo3oo3ox3oo&#x (rixa)

where:
R = o3x3o3o3o (rix)
r = o3o3o3x3o (inv. rix)
Face vector 60, 450, 1250, 1540, 918, 272, 36
Confer
general polytopal classes:
scaliform   segmentoexa   lace simplices  

Incidence matrix according to Dynkin symbol

xx oo3xo3oo3ox3oo&#x   → height = 1/sqrt(3) = 0.577350
(rixip || inv. rixip)

o. o.3o.3o.3o.3o.    & | 60 |  1   8   6 |   8  4  12  6  36 |  4  12  6   8  36  16  16  24 |  6  8  4  2  16  16  24  7  20  8 |  4  2 1  7  20  8  6  4 | 1  6  4 1
-----------------------+----+------------+-------------------+-------------------------------+-----------------------------------+-------------------------+----------
x. .. .. .. .. ..    & |  2 | 30   *   *    8  0   0  6   0 |  4  12  0   0  36   0   0   0 |  6  8  0  0  16  16  24  0   0  0 |  4  2 0  7  20  8  0  0 | 1  6  4 0
.. .. x. .. .. ..    & |  2 |  * 240   * |   1  1   3  0   3 |  1   3  3   3   3   3   3   3 |  3  3  3  1   3   3   3  3   4  3 |  3  1 1  3   4  3  4  1 | 1  4  1 1
oo oo3oo3oo3oo3oo&#x   |  2 |  *   * 180 |   0  0   0  1   8 |  0   0  0   0   8   4   4   8 |  0  0  0  0   4   4   8  2   8  4 |  0  0 0  2   8  4  4  2 | 0  4  2 1
-----------------------+----+------------+-------------------+-------------------------------+-----------------------------------+-------------------------+----------
x. .. x. .. .. ..    & |  4 |  2   2   0 | 120  *   *  *   * |  1   3  0   0   3   0   0   0 |  3  3  0  0   3   3   3  0   0  0 |  3  1 0  3   4  3  0  0 | 1  4  1 0
.. o.3x. .. .. ..    & |  3 |  0   3   0 |   * 80   *  *   * |  1   0  3   0   0   3   0   0 |  3  0  3  0   3   0   0  3   3  0 |  3  0 1  3   3  0  3  1 | 1  3  1 1
.. .. x.3o. .. ..    & |  3 |  0   3   0 |   *  * 240  *   * |  0   1  1   2   0   0   1   0 |  1  2  2  1   0   1   0  1   0  2 |  2  1 1  1   0  2  3  0 | 1  3  0 1
xx .. .. .. .. ..&#x   |  4 |  2   0   2 |   *  *   * 90   *   0   0  0   0   8   0   0   0 |  0  0  0  0   4   4   8  0   0  0 |  0  0 0  2   8  4  0  0 | 0  4  2 0
.. .. xo .. .. ..&#x & |  3 |  0   1   2 |   *  *   *  * 720 |  0   0  0   0   1   1   1   2 |  0  0  0  0   1   1   2  1   3  2 |  0  0 0  1   3  2  3  1 | 0  3  1 1
-----------------------+----+------------+-------------------+-------------------------------+-----------------------------------+-------------------------+----------
x. o.3x. .. .. ..    &   6 |  3   6   0 |   3  2   0  0   0 | 40   *  *   *   *   *   *   *   3  0  0  0   3   0   0  0   0  0 |  3  0 0  3   3  0  0  0 | 1  3  1 0
x. .. x.3o. .. ..    &   6 |  3   6   0 |   3  0   2  0   0 |  * 120  *   *   *   *   *   * |  1  2  0  0   0   1   0  0   0  0 |  2  1 0  1   0  2  0  0 | 1  3  0 0
.. o.3x.3o. .. ..    &   6 |  0  12   0 |   0  4   4  0   0 |  *   * 60   *   *   *   *   * |  1  0  2  0   0   0   0  1   0  0 |  2  0 1  1   0  0  2  0 | 1  2  0 1
.. .. x.3o.3o. ..    &   4 |  0   6   0 |   0  0   4  0   0 |  *   *  * 120   *   *   *   * |  0  1  1  1   0   0   0  0   0  1 |  1  1 1  0   0  1  2  0 | 1  2  0 1
xx .. xo .. .. ..&#x &   6 |  3   2   4 |   1  0   0  2   2 |  *   *  *   * 360   *   *   * |  0  0  0  0   1   1   2  0   0  0 |  0  0 0  1   3  2  0  0 | 0  3  1 0
.. oo3xo .. .. ..&#x &   4 |  0   3   3 |   0  1   0  0   3 |  *   *  *   *   * 240   *   * |  0  0  0  0   1   0   0  1   2  0 |  0  0 0  1   2  0  2  1 | 0  2  1 1
.. .. xo3oo .. ..&#x &   4 |  0   3   3 |   0  0   1  0   3 |  *   *  *   *   *   * 240   * |  0  0  0  0   0   1   0  1   0  2 |  0  0 0  1   0  2  3  0 | 0  3  0 1
.. .. xo .. ox ..&#x     4 |  0   2   4 |   0  0   0  0   4 |  *   *  *   *   *   *   * 360 |  0  0  0  0   0   0   1  0   2  1 |  0  0 0  0   2  1  2  1 | 0  2  1 1
-----------------------+----+------------+-------------------+-------------------------------+-----------------------------------+-------------------------+----------
x. o.3x.3o. .. ..    &  12 |  6  24   0 |  12  8   8  0   0 |  4   4  2   0   0   0   0   0 | 30  *  *  *   *   *   *  *   *  * |  2  0 0  1   0  0  0  0 | 1  2  0 0
x. .. x.3o.3o. ..    &   8 |  4  12   0 |   6  0   8  0   0 |  0   4  0   2   0   0   0   0 |  * 60  *  *   *   *   *  *   *  * |  1  1 0  0   0  1  0  0 | 1  2  0 0
.. o.3x.3o.3o. ..    &  10 |  0  30   0 |   0 10  20  0   0 |  0   0  5   5   0   0   0   0 |  *  * 24  *   *   *   *  *   *  * |  1  0 1  0   0  0  1  0 | 1  1  0 1
.. .. x.3o.3o.3o.    &   5 |  0  10   0 |   0  0  10  0   0 |  0   0  0   5   0   0   0   0 |  *  *  * 24   *   *   *  *   *  * |  0  1 1  0   0  0  1  0 | 1  1  0 1
xx oo3xo .. .. ..&#x &   8 |  4   6   6 |   3  2   0  3   6 |  1   0  0   0   3   2   0   0 |  *  *  *  * 120   *   *  *   *  * |  0  0 0  1   2  0  0  0 | 0  2  1 0
xx .. xo3oo .. ..&#x &   8 |  4   6   6 |   3  0   2  3   6 |  0   1  0   0   3   0   2   0 |  *  *  *  *   * 120   *  *   *  * |  0  0 0  1   0  2  0  0 | 0  3  0 0
xx .. xo .. ox ..&#x     8 |  4   4   8 |   2  0   0  4   8 |  0   0  0   0   4   0   0   2 |  *  *  *  *   *   * 180  *   *  * |  0  0 0  0   2  1  0  0 | 0  2  1 0
.. oo3xo3oo .. ..&#x &   7 |  0  12   6 |   0  4   4  0  12 |  0   0  1   0   0   4   4   0 |  *  *  *  *   *   *   * 60   *  * |  0  0 0  1   0  0  2  0 | 0  2  0 1
.. oo3xo .. ox ..&#x &   5 |  0   4   6 |   0  1   0  0   9 |  0   0  0   0   0   2   0   3 |  *  *  *  *   *   *   *  * 240  * |  0  0 0  0   1  0  1  1 | 0  1  1 1
.. .. xo3oo3ox ..&#x     8 |  0  12  12 |   0  0   8  0  24 |  0   0  0   2   0   0   8   6 |  *  *  *  *   *   *   *  *   * 60 |  0  0 0  0   0  1  2  0 | 0  2  0 1
-----------------------+----+------------+-------------------+-------------------------------+-----------------------------------+-------------------------+----------
x. o.3x.3o.3o. ..    &  20 | 10  60   0 |  30 20  40  0   0 | 10  20 10  10   0   0   0   0 |  5  5  2  0   0   0   0  0   0  0 | 12  * *  *   *  *  *  * | 1  1  0 0
x. .. x.3o.3o.3o.    &  10 |  5  20   0 |  10  0  20  0   0 |  0  10  0  10   0   0   0   0 |  0  5  0  2   0   0   0  0   0  0 |  * 12 *  *   *  *  *  * | 1  1  0 0
.. o.3x.3o.3o.3o.    &  15 |  0  60   0 |   0 20  60  0   0 |  0   0 15  30   0   0   0   0 |  0  0  6  6   0   0   0  0   0  0 |  *  * 4  *   *  *  *  * | 1  0  0 1
xx oo3xo3oo .. ..&#x &  14 |  7  24  12 |  12  8   8  6  24 |  4   4  2   0  12   8   8   0 |  1  0  0  0   4   4   0  2   0  0 |  *  * * 30   *  *  *  * | 0  2  0 0
xx oo3xo .. ox ..&#x &  10 |  5   8  12 |   4  2   0  6  18 |  1   0  0   0   9   4   0   6 |  0  0  0  0   2   0   3  0   2  0 |  *  * *  * 120  *  *  * | 0  1  1 0
xx .. xo3oo3ox ..&#x    16 |  8  24  24 |  12  0  16 12  48 |  0   8  0   4  24   0  16  12 |  0  2  0  0   0   8   6  0   0  2 |  *  * *  *   * 30  *  * | 0  2  0 0
.. oo3xo3oo3ox ..&#x &  15 |  0  40  30 |   0 10  30  0  90 |  0   0  5  10   0  20  30  30 |  0  0  1  1   0   0   0  5  10  5 |  *  * *  *   *  * 24  * | 0  1  0 1
.. oo3xo .. ox3oo&#x     6 |  0   6   9 |   0  2   0  0  18 |  0   0  0   0   0   6   0   9 |  0  0  0  0   0   0   0  0   6  0 |  *  * *  *   *  *  * 40 | 0  0  1 1
-----------------------+----+------------+-------------------+-------------------------------+-----------------------------------+-------------------------+----------
x. o.3x.3o.3o.3o.    &  30 | 15 120   0 |  60 40 120  0   0 | 20  60 30  60   0   0   0   0 | 15 30 12 12   0   0   0  0   0  0 |  6  6 2  0   0  0  0  0 | 2  *  * *
xx oo3xo3oo3ox ..&#x &  30 | 15  80  60 |  40 20  60 30 180 | 10  30 10  20  90  40  60  60 |  5 10  2  2  20  30  30 10  20 10 |  1  1 0  5  10  5  2  0 | * 12  * *
xx oo3xo .. ox3oo&#x    12 |  6  12  18 |   6  4   0  9  36 |  2   0  0   0  18  12   0  18 |  0  0  0  0   6   0   9  0  12  0 |  0  0 0  0   6  0  0  2 | *  * 20 *
.. oo3xo3oo3ox3oo&#x    30 |  0 120  90 |   0 40 120  0 360 |  0   0 30  60   0 120 120 180 |  0  0 12 12   0   0   0 30 120 30 |  0  0 2  0   0  0 12 20 | *  *  * 2

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