Acronym sabrila
Name sabril alterprism,
sabril atop alternate sabril
Circumradius sqrt(5/2) = 1.581139
Face vector 420, 3360, 6860, 6370, 3178, 812, 86
Confer
general polytopal classes:
segmentoexa   scaliform  

Incidence matrix according to Dynkin symbol

oo3xo3ox3xo3ox3oo&#x   → height = sqrt(2/7) = 0.534522
(sabril || inv. sabril)

o.3o.3o.3o.3o.3o.    & | 420 |   4    6    6 |   2   2   12   3   6   18    9 |  1   6   6  12   3   2   8  12   15   12   3 |  3   6  6   4  1   5   7  10   9  18 |  3  2  2  4   7   8   2  6 | 1  5  3
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
.. x. .. .. .. ..    & |   2 | 840    *    * |   1   1    3   0   0    3    0 |  1   3   3   3   0   0   3   3    3    3   0 |  3   3  3   1  0   3   3   4   3   6 |  3  1  1  3   4   4   1  3 | 1  4  2
.. .. .. x. .. ..    & |   2 |   * 1260    * |   0   0    2   1   2    0    1 |  0   1   2   4   2   1   0   2    2    0   1 |  1   2  4   2  1   1   1   0   4   4 |  2  1  2  2   2   2   0  4 | 1  4  1
oo3oo3oo3oo3oo3oo&#x   |   2 |   *    * 1260 |   0   0    0   0   0    4    2 |  0   0   0   0   0   0   2   4    4    4   1 |  0   0  0   0  0   2   2   4   4   8 |  0  0  0  2   4   4   1  4 | 0  4  2
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x. .. .. .. ..    & |   3 |   3    0    0 | 280   *    *   *   *    *    * |  1   3   0   0   0   0   3   0    0    0   0 |  3   3  0   0  0   3   3   3   0   0 |  3  1  0  3   3   3   1  0 | 1  3  2
.. x.3o. .. .. ..    & |   3 |   3    0    0 |   * 280    *   *   *    *    * |  1   0   3   0   0   0   0   3    0    0   0 |  3   0  3   0  0   3   0   0   3   3 |  3  0  1  3   3   1   0  3 | 1  4  1
.. x. .. x. .. ..    & |   4 |   2    2    0 |   *   * 1260   *   *    *    * |  0   1   1   2   0   0   0   0    1    0   0 |  1   2  2   1  0   0   1   0   1   2 |  2  1  1  1   1   2   0  2 | 1  3  1
.. .. o.3x. .. ..    & |   3 |   0    3    0 |   *   *    * 420   *    *    * |  0   0   2   0   2   0   0   0    0    0   1 |  1   0  4   0  1   0   0   0   4   0 |  2  0  2  2   0   0   0  4 | 1  4  0
.. .. .. x.3o. ..    & |   3 |   0    3    0 |   *   *    *   * 840    *    * |  0   0   0   2   1   1   0   1    0    0   0 |  0   1  2   2  1   1   0   0   1   2 |  1  1  2  1   2   1   0  2 | 1  3  1
.. xo .. .. .. ..&#x & |   3 |   1    0    2 |   *   *    *   *   * 2520    * |  0   0   0   0   0   0   1   1    1    2   0 |  0   0  0   0  0   1   1   3   1   4 |  0  0  0  1   3   3   1  2 | 0  3  2
.. .. ox .. .. ..&#x & |   3 |   0    1    2 |   *   *    *   *   *    * 1260 |  0   0   0   0   0   0   0   2    2    0   1 |  0   0  0   0  0   1   1   0   4   4 |  0  0  0  2   2   2   0  4 | 0  4  1
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x.3o. .. .. ..    &    6 |  12    0    0 |   4   4    0   0   0    0    0 | 70   *   *   *   *   *   *   *    *    *   * |  3   0  0   0  0   3   0   0   0   0 |  3  0  0  3   3   0   0  0 | 1  3  1
o.3x. .. x. .. ..    &    6 |   6    3    0 |   2   0    3   0   0    0    0 |  * 420   *   *   *   *   *   *    *    *   * |  1   2  0   0  0   0   1   0   0   0 |  2  1  0  1   0   2   0  0 | 1  2  1
.. x.3o.3x. .. ..    &   12 |  12   12    0 |   0   4    6   4   0    0    0 |  *   * 210   *   *   *   *   *    *    *   * |  1   0  2   0  0   0   0   0   1   0 |  2  0  1  1   0   0   0  2 | 1  3  0
.. x. .. x.3o. ..    &    6 |   3    6    0 |   0   0    3   0   2    0    0 |  *   *   * 840   *   *   *   *    *    *   * |  0   1  1   1  0   0   0   0   0   1 |  1  1  1  0   1   1   0  1 | 1  2  1
.. .. o.3x.3o. ..    &    6 |   0   12    0 |   0   0    0   4   4    0    0 |  *   *   *   * 210   *   *   *    *    *   * |  0   0  2   0  1   0   0   0   1   0 |  1  0  2  1   0   0   0  2 | 1  3  0
.. .. .. x.3o.3o.    &    4 |   0    6    0 |   0   0    0   0   4    0    0 |  *   *   *   *   * 210   *   *    *    *   * |  0   0  0   2  1   1   0   0   0   0 |  0  1  2  1   2   0   0  0 | 1  2  1
oo3xo .. .. .. ..&#x &    4 |   3    0    3 |   1   0    0   0   0    3    0 |  *   *   *   *   *   * 840   *    *    *   * |  0   0  0   0  0   1   1   2   0   0 |  0  0  0  1   2   2   1  0 | 0  2  2
.. xo3ox .. .. ..&#x &    6 |   3    3    6 |   0   1    0   0   1    3    3 |  *   *   *   *   *   *   * 840    *    *   * |  0   0  0   0  0   1   0   0   1   2 |  0  0  0  1   2   1   0  2 | 0  3  1
.. xo .. xo .. ..&#x &    5 |   2    2    4 |   0   0    1   0   0    2    2 |  *   *   *   *   *   *   *   * 1260    *   * |  0   0  0   0  0   0   1   0   1   2 |  0  0  0  1   1   2   0  2 | 0  3  1
.. xo .. .. ox ..&#x      4 |   2    0    4 |   0   0    0   0   0    4    0 |  *   *   *   *   *   *   *   *    * 1260   * |  0   0  0   0  0   0   0   2   0   2 |  0  0  0  0   2   2   1  1 | 0  2  2
.. .. ox3xo .. ..&#x      6 |   0    6    6 |   0   0    0   2   0    0    6 |  *   *   *   *   *   *   *   *    *    * 210 |  0   0  0   0  0   0   0   0   4   0 |  0  0  0  2   0   0   0  4 | 0  4  0
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x.3o.3x. .. ..    &   30 |  60   30    0 |  20  20   30  10   0    0    0 |  5  10   5   0   0   0   0   0    0    0   0 | 42   *  *   *  *   *   *   *   *   * |  2  0  0  1   0   0   0  0 | 1  2  0
o.3x. .. x.3o. ..    &    9 |   9    9    0 |   3   0    9   0   3    0    0 |  0   3   0   3   0   0   0   0    0    0   0 |  * 280  *   *  *   *   *   *   *   * |  1  1  0  0   0   1   0  0 | 1  1  1
.. x.3o.3x.3o. ..    &   30 |  30   60    0 |   0  10   30  20  20    0    0 |  0   0   5  10   5   0   0   0    0    0   0 |  *   * 84   *  *   *   *   *   *   * |  1  0  1  0   0   0   0  1 | 1  2  0
.. x. .. x.3o.3o.    &    8 |   4   12    0 |   0   0    6   0   8    0    0 |  0   0   0   4   0   2   0   0    0    0   0 |  *   *  * 210  *   *   *   *   *   * |  0  1  1  0   1   0   0  0 | 1  1  1
.. .. o.3x.3o.3o.    &   10 |   0   30    0 |   0   0    0  10  20    0    0 |  0   0   0   0   5   5   0   0    0    0   0 |  *   *  *   * 42   *   *   *   *   * |  0  0  2  1   0   0   0  0 | 1  2  0
oo3xo3ox .. .. ..&#x &   10 |  12    6   12 |   4   4    0   0   4   12    6 |  1   0   0   0   0   1   4   4    0    0   0 |  *   *  *   *  * 210   *   *   *   * |  0  0  0  1   2   0   0  0 | 0  2  1
oo3xo .. xo .. ..&#x &    7 |   6    3    6 |   2   0    3   0   0    6    3 |  0   1   0   0   0   0   2   0    3    0   0 |  *   *  *   *  *   * 420   *   *   * |  0  0  0  1   0   2   0  0 | 0  2  1
oo3xo .. .. ox ..&#x &    5 |   4    0    6 |   1   0    0   0   0    9    0 |  0   0   0   0   0   0   2   0    0    3   0 |  *   *  *   *  *   *   * 840   *   * |  0  0  0  0   1   1   1  0 | 0  1  2
.. xo3ox3xo .. ..&#x &   18 |  12   24   24 |   0   4    6   8   4   12   24 |  0   0   1   0   1   0   0   4    6    0   4 |  *   *  *   *  *   *   *   * 210   * |  0  0  0  1   0   0   0  2 | 0  3  0
.. xo3ox .. ox ..&#x &    9 |   6    6   12 |   0   1    3   0   2   12    6 |  0   0   0   1   0   0   0   2    3    3   0 |  *   *  *   *  *   *   *   *   * 840 |  0  0  0  0   1   1   0  1 | 0  2  1
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x.3o.3x.3o. ..    &   90 | 180  180    0 |  60  60  180  60  60    0    0 | 15  60  30  60  15   0   0   0    0    0   0 |  6  20  6   0  0   0   0   0   0   0 | 14  *  *  *   *   *   *  * | 1  1  0
o.3x. .. x.3o.3o.    &   12 |  12   18    0 |   4   0   18   0  12    0    0 |  0   6   0  12   0   3   0   0    0    0   0 |  0   4  0   3  0   0   0   0   0   0 |  * 70  *  *   *   *   *  * | 1  0  1
.. x.3o.3x.3o.3o.    &   60 |  60  180    0 |   0  20   90  60 120    0    0 |  0   0  15  60  30  30   0   0    0    0   0 |  0   0  6  15  6   0   0   0   0   0 |  *  * 14  *   *   *   *  * | 1  1  0
oo3xo3ox3xo .. ..&#x &   40 |  60   60   60 |  20  20   30  20  20   60   60 |  5  10   5   0   5   5  20  20   30    0  10 |  1   0  0   0  1   5  10   0   5   0 |  *  *  * 42   *   *   *  * | 0  2  0
oo3xo3ox .. ox ..&#x &   14 |  16   12   24 |   4   4    6   0   8   36   12 |  1   0   0   4   0   2   8   8    6   12   0 |  0   0  0   1  0   2   0   4   0   4 |  *  *  *  * 210   *   *  * | 0  1  1
oo3xo .. xo3ox ..&#x &   12 |  12    9   18 |   3   1    9   0   3   27    9 |  0   3   0   3   0   0   6   3    9    9   0 |  0   1  0   0  0   0   3   3   0   3 |  *  *  *  *   * 280   *  * | 0  1  1
oo3xo .. .. ox3oo&#x      6 |   6    0    9 |   2   0    0   0   0   18    0 |  0   0   0   0   0   0   6   0    0    9   0 |  0   0  0   0  0   0   0   6   0   0 |  *  *  *  *   *   * 140  * | 0  0  2
.. xo3ox3xo3ox ..&#x     60 |  60  120  120 |   0  20   60  40  40  120  120 |  0   0  10  20  10   0   0  40   60   30  20 |  0   0  2   0  0   0   0   0  10  20 |  *  *  *  *   *   *   * 42 | 0  2  0
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x.3o.3x.3o.3o.    &  210 | 420  630    0 | 140 140  630 210 420    0    0 | 35 210 105 420 105 105   0   0    0    0   0 | 21 140 42 105 21   0   0   0   0   0 |  7 35  7  0   0   0   0  0 | 2  *  *
oo3xo3ox3xo3ox ..&#x &  150 | 240  360  360 |  60  80  270 120 180  540  360 | 15  60  45 120  45  30 120 180  270  180  60 |  6  20 12  15  6  30  60  60  45 120 |  1  0  1  6  15  20   0  6 | * 14  *
oo3xo3ox .. ox3oo&#x &   18 |  24   18   36 |   8   4   18   0  12   72   18 |  1   6   0  12   0   3  24  12   18   36   0 |  0   4  0   3  0   3   6  24   0  12 |  0  1  0  0   3   4   4  0 | *  * 70

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