Acronym cappixalcappix
Name cappix atop alternate cappix
Circumradius sqrt(11)/2 = 1.658312
Confer
general polytopal classes:
segmentopeta   scaliform  

Incidence matrix according to Dynkin symbol

xx3xo3oo3ox3xx&#x   → height = 1/sqrt(3) = 0.577350
(cappix || alt. cappix)

o.3o.3o.3o.3o.     & | 240 |   1   3   3   3 |   3   3   3   6   3   6   9 |  3   6   3  1   3   3  1   9   9  3   4   3 |  1  3  3  1  1  4   6   9   4  1 | 1  2  4  3
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x. .. .. .. ..     & |   2 | 120   *   *   * |   3   3   0   0   0   3   0 |  3   6   3  0   0   0  0   6   3  3   0   0 |  1  3  3  1  0  3   3   9   1  0 | 1  1  4  3
.. x. .. .. ..     & |   2 |   * 360   *   * |   1   0   2   2   0   0   2 |  2   2   0  1   2   1  0   2   2  0   2   1 |  1  2  1  0  1  2   2   2   2  1 | 1  2  2  1
.. .. .. .. x.     & |   2 |   *   * 360   * |   0   1   0   2   2   1   0 |  0   2   2  0   1   2  1   2   2  1   0   0 |  0  1  2  1  1  1   2   4   1  0 | 1  1  2  2
oo3oo3oo3oo3oo&#x    |   2 |   *   *   * 360 |   0   0   0   0   0   2   4 |  0   0   0  0   0   0  0   4   4  1   2   2 |  0  0  0  0  0  2   4   4   2  1 | 0  2  2  2
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x.3x. .. .. ..     & |   6 |   3   3   0   0 | 120   *   *   *   *   *   * |  2   2   0  0   0   0  0   2   0  0   0   0 |  1  2  1  0  0  2   1   2   0  0 | 1  1  2  1
x. .. .. .. x.     & |   4 |   2   0   2   0 |   * 180   *   *   *   *   * |  0   2   2  0   0   0  0   0   0  1   0   0 |  0  1  2  1  0  0   0   4   0  0 | 1  0  2  2
.. x.3o. .. ..     & |   3 |   0   3   0   0 |   *   * 240   *   *   *   * |  1   0   0  1   1   0  0   0   0  0   1   0 |  1  1  0  0  1  1   0   0   1  1 | 1  2  1  0
.. x. .. .. x.     & |   4 |   0   2   2   0 |   *   *   * 360   *   *   * |  0   1   0  0   1   1  0   0   1  0   0   0 |  0  1  1  0  1  0   1   1   1  0 | 1  1  1  1
.. .. .. o.3x.     & |   3 |   0   0   3   0 |   *   *   *   * 240   *   * |  0   0   1  0   0   1  1   1   0  0   0   0 |  0  0  1  1  1  1   1   1   0  0 | 1  1  1  1
xx .. .. .. ..&#x  & |   4 |   1   0   1   2 |   *   *   *   *   * 360   * |  0   0   0  0   0   0  0   2   2  1   0   0 |  0  0  0  0  0  1   2   4   1  0 | 0  1  2  2
.. xo .. .. ..&#x  & |   3 |   0   1   0   2 |   *   *   *   *   *   * 720 |  0   0   0  0   0   0  0   1   1  0   1   1 |  0  0  0  0  0  1   2   1   1  1 | 0  2  1  1
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x.3x.3o. .. ..     &   12 |   6  12   0   0 |   4   0   4   0   0   0   0 | 60   *   *  *   *   *  *   *   *  *   *   * |  1  1  0  0  0  1   0   0   0  0 | 1  1  1  0
x.3x. .. .. x.     &   12 |   6   6   6   0 |   2   3   0   3   0   0   0 |  * 120   *  *   *   *  *   *   *  *   *   * |  0  1  1  0  0  0   0   1   0  0 | 1  0  1  1
x. .. .. o.3x.     &    6 |   3   0   6   0 |   0   3   0   0   2   0   0 |  *   * 120  *   *   *  *   *   *  *   *   * |  0  0  1  1  0  0   0   1   0  0 | 1  0  1  1
.. x.3o.3o. ..     &    4 |   0   6   0   0 |   0   0   4   0   0   0   0 |  *   *   * 60   *   *  *   *   *  *   *   * |  1  0  0  0  1  0   0   0   0  1 | 1  2  0  0
.. x.3o. .. x.     &    6 |   0   6   3   0 |   0   0   2   3   0   0   0 |  *   *   *  * 120   *  *   *   *  *   *   * |  0  1  0  0  1  0   0   0   1  0 | 1  1  1  0
.. x. .. o.3x.     &    6 |   0   3   6   0 |   0   0   0   3   2   0   0 |  *   *   *  *   * 120  *   *   *  *   *   * |  0  0  1  0  1  0   1   0   0  0 | 1  1  0  1
.. .. o.3o.3x.     &    4 |   0   0   6   0 |   0   0   0   0   4   0   0 |  *   *   *  *   *   * 60   *   *  *   *   * |  0  0  0  1  1  1   0   0   0  0 | 1  1  1  0
xx3xo .. .. ..&#x  &    9 |   3   3   3   6 |   1   0   0   0   1   3   3 |  *   *   *  *   *   *  * 240   *  *   *   * |  0  0  0  0  0  1   1   1   0  0 | 0  1  1  1
xx .. .. ox ..&#x  &    6 |   1   2   2   4 |   0   0   0   1   0   2   2 |  *   *   *  *   *   *  *   * 360  *   *   * |  0  0  0  0  0  0   1   1   1  0 | 0  1  1  1
xx .. .. .. xx&#x       8 |   4   0   4   4 |   0   2   0   0   0   4   0 |  *   *   *  *   *   *  *   *   * 90   *   * |  0  0  0  0  0  0   0   4   0  0 | 0  0  2  2
.. xo3oo .. ..&#x  &    4 |   0   3   0   3 |   0   0   1   0   0   0   3 |  *   *   *  *   *   *  *   *   *  * 240   * |  0  0  0  0  0  1   0   0   1  1 | 0  2  1  0
.. xo .. ox ..&#x       4 |   0   2   0   4 |   0   0   0   0   0   0   4 |  *   *   *  *   *   *  *   *   *  *   * 180 |  0  0  0  0  0  0   2   0   0  1 | 0  2  0  1
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x.3x.3o.3o. ..     &   20 |  10  30   0   0 |  10   0  20   0   0   0   0 |  5   0   0  5   0   0  0   0   0  0   0   0 | 12  *  *  *  *  *   *   *   *  * | 1  1  0  0
x.3x.3o. .. x.     &   24 |  12  24  12   0 |   8   6   8  12   0   0   0 |  2   4   0  0   4   0  0   0   0  0   0   0 |  * 30  *  *  *  *   *   *   *  * | 1  0  1  0
x.3x. .. o.3x.     &   18 |   9   9  18   0 |   3   9   0   9   6   0   0 |  0   3   3  0   0   3  0   0   0  0   0   0 |  *  * 40  *  *  *   *   *   *  * | 1  0  0  1
x. .. o.3o.3x.     &    8 |   4   0  12   0 |   0   6   0   0   8   0   0 |  0   0   4  0   0   0  2   0   0  0   0   0 |  *  *  * 30  *  *   *   *   *  * | 1  0  1  0
.. x.3o.3o.3x.     &   20 |   0  30  30   0 |   0   0  20  30  20   0   0 |  0   0   0  5  10  10  5   0   0  0   0   0 |  *  *  *  * 12  *   *   *   *  * | 1  1  0  0
xx3xo3oo .. ..&#x  &   16 |   6  12   6  12 |   4   0   4   0   4   6  12 |  1   0   0  0   0   0  1   4   0  0   4   0 |  *  *  *  *  * 60   *   *   *  * | 0  1  1  0
xx3xo .. ox ..&#x  &   12 |   3   6   6  12 |   1   0   0   3   2   6  12 |  0   0   0  0   0   1  0   2   3  0   0   3 |  *  *  *  *  *  * 120   *   *  * | 0  1  0  1
xx3xo .. .. xx&#x  &   18 |   9   6  12  12 |   2   6   0   3   2  12   6 |  0   1   1  0   0   0  0   2   3  3   0   0 |  *  *  *  *  *  *   * 120   *  * | 0  0  1  1
xx .. oo3ox ..&#x  &    8 |   1   6   3   6 |   0   0   2   3   0   3   6 |  0   0   0  0   1   0  0   0   3  0   2   0 |  *  *  *  *  *  *   *   * 120  * | 0  1  1  0
.. xo3oo3ox ..&#x       8 |   0  12   0  12 |   0   0   8   0   0   0  24 |  0   0   0  2   0   0  0   0   0  0   8   6 |  *  *  *  *  *  *   *   *   * 30 | 0  2  0  0
---------------------+-----+-----------------+-----------------------------+---------------------------------------------+----------------------------------+-----------
x.3x.3o.3o.3x.     &  120 |  60 180 180   0 |  60  90 120 180 120   0   0 | 30  60  60 30  60  60 30   0   0  0   0   0 |  6 15 20 15  6  0   0   0   0  0 | 2  *  *  *
xx3xo3oo3ox ..&#x  &   40 |  10  60  30  60 |  10   0  40  30  20  30 120 |  5   0   0 10  10  10  5  20  30  0  40  30 |  1  0  0  0  1  5  10   0  10  5 | * 12  *  *
xx3xo3oo .. xx&#x  &   32 |  16  24  24  24 |   8  12   8  12   8  24  24 |  2   4   4  0   4   0  2   8  12  6   8   0 |  0  1  0  1  0  2   0   4   4  0 | *  * 30  *
xx3xo .. ox3xx&#x      36 |  18  18  36  36 |   6  18   0  18  12  36  36 |  0   6   6  0   0   6  0  12  18  9   0   9 |  0  0  2  0  0  0   6   6   0  0 | *  *  * 20

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