Acronym scalal scal
Name small cellated heptapeton atop inverted small cellated heptapeton,
medial segment of barz
Circumradius sqrt(3/2) = 1.224745
Confer
uniform relative:
barz
general polytopal classes:
segmentoexa   scaliform   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

xo3ox3oo3oo3xo3ox&#x   → height = sqrt(2/7) = 0.534522
(scal || inv scal)

o.3o.3o.3o.3o.3o.    & | 210 |   4   8   8 |   6   24  12   4  12   36 |   4  24  24  12   8   6  24   30   4   32   24 |  1   8  12  12   8  12  2  4  20  36  18  28  10  20 |  2  4  6  4  1  6  14  16  16  12   9  2 | 1  3  5 10
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x. .. .. .. .. ..    & |   2 | 420   *   * |   3    6   0   0   2    0 |   3  12   6   3   0   0   6    6   1    0    0 |  1   6   6   6   2   3  0  0   6  12   6   6   0   0 |  2  3  3  1  0  2   6   6   6   6   2  0 | 1  2  2  6
.. .. .. .. x. ..    & |   2 |   * 840   * |   0    3   3   1   0    3 |   0   3   6   3   3   3   3    3   0    6    3 |  0   1   3   3   3   6  1  3   6   6   3   6   3   4 |  1  1  3  3  1  3   4   6   4   3   3  1 | 1  2  3  4
oo3oo3oo3oo3oo3oo&#x   |   2 |   *   * 840 |   0    0   0   0   2    6 |   0   0   0   0   0   0   6    6   1    6    6 |  0   0   0   0   0   0  0  0   6  12   6   6   2   6 |  0  0  0  0  0  2   6   6   6   6   2  1 | 0  2  2  6
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o. .. .. .. ..    & |   3 |   3   0   0 | 420    *   *   *   *    * |   2   4   0   0   0   0   2    0   0    0    0 |  1   4   2   2   0   0  0  0   4   4   1   0   0   0 |  2  2  1  0  0  2   4   2   2   2   0  0 | 1  2  1  3
x. .. .. .. x. ..    & |   4 |   2   2   0 |   * 1260   *   *   *    * |   0   2   2   1   0   0   0    1   0    0    0 |  0   1   2   2   1   2  0  0   0   2   1   2   0   0 |  1  1  2  1  0  0   1   2   2   2   1  0 | 1  1  1  3
.. .. .. o.3x. ..    & |   3 |   0   3   0 |   *    * 840   *   *    * |   0   0   2   0   2   1   0    0   0    2    0 |  0   0   1   0   2   2  1  2   2   0   0   2   2   1 |  1  0  1  2  1  2   1   2   1   0   2  1 | 1  2  2  1
.. .. .. .. x.3o.    & |   3 |   0   3   0 |   *    *   * 280   *    * |   0   0   0   3   0   3   3    0   0    0    0 |  0   0   0   3   0   6  0  3   6   3   3   0   0   0 |  0  1  3  3  1  3   3   6   1   3   0  0 | 1  1  3  4
xo .. .. .. .. ..&#x & |   3 |   1   0   2 |   *    *   *   * 840    * |   0   0   0   0   0   0   3    3   1    0    0 |  0   0   0   0   0   0  0  0   3   6   6   3   0   0 |  0  0  0  0  0  1   3   6   3   6   1  0 | 0  1  2  6
.. ox .. .. .. ..&#x & |   3 |   0   1   2 |   *    *   *   *   * 2520 |   0   0   0   0   0   0   1    1   0    2    2 |  0   0   0   0   0   0  0  0   2   4   1   2   1   3 |  0  0  0  0  0  1   3   2   3   2   1  1 | 0  2  1  3
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o.3o. .. .. ..    &    4 |   6   0   0 |   4    0   0   0   0    0 | 210   *   *   *   *   *   *    *   *    *    * |  1   2   0   0   0   0  0  0   2   0   0   0   0   0 |  2  1  0  0  0  2   2   1   0   0   0  0 | 1  2  1  1
x.3o. .. .. x. ..    &    6 |   6   3   0 |   2    3   0   0   0    0 |   * 840   *   *   *   *   *    *   *    *    * |  0   1   1   1   0   0  0  0   0   1   0   0   0   0 |  1  1  1  0  0  0   1   0   1   1   0  0 | 1  1  0  2
x. .. .. o.3x. ..    &    6 |   3   6   0 |   0    3   2   0   0    0 |   *   * 840   *   *   *   *    *   *    *    * |  0   0   1   0   1   1  0  0   0   0   0   1   0   0 |  1  0  1  1  0  0   0   1   1   0   1  0 | 1  1  1  1
x. .. .. .. x.3o.    &    6 |   3   6   0 |   0    3   0   2   0    0 |   *   *   * 420   *   *   *    *   *    *    * |  0   0   0   2   0   2  0  0   0   0   1   0   0   0 |  0  1  2  1  0  0   0   2   0   2   0  0 | 1  0  1  3
.. .. o.3o.3x. ..    &    4 |   0   6   0 |   0    0   4   0   0    0 |   *   *   *   * 420   *   *    *   *    *    * |  0   0   0   0   1   0  1  1   0   0   0   0   1   0 |  1  0  0  1  1  1   0   0   0   0   1  1 | 1  2  1  0
.. .. .. o.3x.3o.    &    6 |   0  12   0 |   0    0   4   4   0    0 |   *   *   *   *   * 210   *    *   *    *    * |  0   0   0   0   0   2  0  2   2   0   0   0   0   0 |  0  0  1  2  1  2   1   2   0   0   0  0 | 1  1  2  1
xo3ox .. .. .. ..&#x &    6 |   3   3   6 |   1    0   0   1   3    3 |   *   *   *   *   *   * 840    *   *    *    * |  0   0   0   0   0   0  0  0   2   2   1   0   0   0 |  0  0  0  0  0  1   2   2   1   2   0  0 | 0  1  1  3
xo .. .. .. xo ..&#x &    5 |   2   2   4 |   0    1   0   0   2    2 |   *   *   *   *   *   *   * 1260   *    *    * |  0   0   0   0   0   0  0  0   0   2   1   2   0   0 |  0  0  0  0  0  0   1   2   2   2   1  0 | 0  1  1  3
xo .. .. .. .. ox&#x      4 |   2   0   4 |   0    0   0   0   4    0 |   *   *   *   *   *   *   *    * 210    *    * |  0   0   0   0   0   0  0  0   0   0   6   0   0   0 |  0  0  0  0  0  0   0   6   0   6   0  0 | 0  0  2  6
.. ox3oo .. .. ..&#x &    4 |   0   3   3 |   0    0   1   0   0    3 |   *   *   *   *   *   *   *    *   * 1680    * |  0   0   0   0   0   0  0  0   1   0   0   1   1   1 |  0  0  0  0  0  1   1   1   1   0   1  1 | 0  2  1  1
.. ox .. .. xo ..&#x      4 |   0   2   4 |   0    0   0   0   0    4 |   *   *   *   *   *   *   *    *   *    * 1260 |  0   0   0   0   0   0  0  0   0   2   0   0   0   2 |  0  0  0  0  0  0   2   0   2   1   0  1 | 0  2  0  2
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o.3o.3o. .. ..    &    5 |  10   0   0 |  10    0   0   0   0    0 |   5   0   0   0   0   0   0    0   0    0    0 | 42   *   *   *   *   *  *  *   *   *   *   *   *   * |  2  0  0  0  0  2   0   0   0   0   0  0 | 1  2  1  0
x.3o.3o. .. x. ..    &    8 |  12   4   0 |   8    6   0   0   0    0 |   2   4   0   0   0   0   0    0   0    0    0 |  * 210   *   *   *   *  *  *   *   *   *   *   *   * |  1  1  0  0  0  0   1   0   0   0   0  0 | 1  1  0  1
x.3o. .. o.3x. ..    &    9 |   9   9   0 |   3    9   3   0   0    0 |   0   3   3   0   0   0   0    0   0    0    0 |  *   * 280   *   *   *  *  *   *   *   *   *   *   * |  1  0  1  0  0  0   0   0   1   0   0  0 | 1  1  0  1
x.3o. .. .. x.3o.    &    9 |   9   9   0 |   3    9   0   3   0    0 |   0   3   0   3   0   0   0    0   0    0    0 |  *   *   * 280   *   *  *  *   *   *   *   *   *   * |  0  1  1  0  0  0   0   0   0   1   0  0 | 1  0  0  2
x. .. o.3o.3x. ..    &    8 |   4  12   0 |   0    6   8   0   0    0 |   0   0   4   0   2   0   0    0   0    0    0 |  *   *   *   * 210   *  *  *   *   *   *   *   *   * |  1  0  0  1  0  0   0   0   0   0   1  0 | 1  1  1  0
x. .. .. o.3x.3o.    &   12 |   6  24   0 |   0   12   8   8   0    0 |   0   0   4   4   0   2   0    0   0    0    0 |  *   *   *   *   * 210  *  *   *   *   *   *   *   * |  0  0  1  1  0  0   0   1   0   0   0  0 | 1  0  1  1
.. o.3o.3o.3x. ..    &    5 |   0  10   0 |   0    0  10   0   0    0 |   0   0   0   0   5   0   0    0   0    0    0 |  *   *   *   *   *   * 84  *   *   *   *   *   *   * |  1  0  0  0  1  0   0   0   0   0   0  1 | 1  2  0  0
.. .. o.3o.3x.3o.    &   10 |   0  30   0 |   0    0  20  10   0    0 |   0   0   0   0   5   5   0    0   0    0    0 |  *   *   *   *   *   *  * 84   *   *   *   *   *   * |  0  0  0  1  1  1   0   0   0   0   0  0 | 1  1  1  0
xo3ox3oo .. .. ..&#x &   10 |   6  12  12 |   4    0   4   4   6   12 |   1   0   0   0   0   1   4    0   0    4    0 |  *   *   *   *   *   *  *  * 420   *   *   *   *   * |  0  0  0  0  0  1   1   1   0   0   0  0 | 0  1  1  1
xo3ox .. .. xo ..&#x &    9 |   6   6  12 |   2    3   0   1   6   12 |   0   1   0   0   0   0   2    3   0    0    3 |  *   *   *   *   *   *  *  *   * 840   *   *   *   * |  0  0  0  0  0  0   1   0   1   1   0  0 | 0  1  0  2
xo3ox .. .. .. ox&#x &    9 |   6   6  12 |   1    3   0   2  12    6 |   0   0   0   1   0   0   2    3   3    0    0 |  *   *   *   *   *   *  *  *   *   * 420   *   *   * |  0  0  0  0  0  0   0   2   0   2   0  0 | 0  0  1  3
xo .. .. oo3xo ..&#x &    7 |   3   6   6 |   0    3   2   0   3    6 |   0   0   1   0   0   0   0    3   0    2    0 |  *   *   *   *   *   *  *  *   *   *   * 840   *   * |  0  0  0  0  0  0   0   1   1   0   1  0 | 0  1  1  1
.. ox3oo3oo .. ..&#x &    5 |   0   6   4 |   0    0   4   0   0    6 |   0   0   0   0   1   0   0    0   0    4    0 |  *   *   *   *   *   *  *  *   *   *   *   * 420   * |  0  0  0  0  0  1   0   0   0   0   1  1 | 0  2  1  0
.. ox3oo .. xo ..&#x &    5 |   0   4   6 |   0    0   1   0   0    9 |   0   0   0   0   0   0   0    0   0    2    3 |  *   *   *   *   *   *  *  *   *   *   *   *   * 840 |  0  0  0  0  0  0   1   0   1   0   0  1 | 0  2  0  1
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o.3o.3o.3x. ..    &   30 |  60  60   0 |  60   90  60   0   0    0 |  30  60  60   0  30   0   0    0   0    0    0 |  6  15  20   0  15   0  6  0   0   0   0   0   0   0 | 14  *  *  *  *  *   *   *   *   *   *  * | 1  1  0  0
x.3o.3o. .. x.3o.    &   12 |  18  12   0 |  12   18   0   4   0    0 |   3  12   0   6   0   0   0    0   0    0    0 |  0   3   0   4   0   0  0  0   0   0   0   0   0   0 |  * 70  *  *  *  *   *   *   *   *   *  * | 1  0  0  1
x.3o. .. o.3x.3o.    &   18 |  18  36   0 |   6   36  12  12   0    0 |   0  12  12  12   0   3   0    0   0    0    0 |  0   0   4   4   0   3  0  0   0   0   0   0   0   0 |  *  * 70  *  *  *   *   *   *   *   *  * | 1  0  0  1
x. .. o.3o.3x.3o.    &   20 |  10  60   0 |   0   30  40  20   0    0 |   0   0  20  10  10  10   0    0   0    0    0 |  0   0   0   0   5   5  0  2   0   0   0   0   0   0 |  *  *  * 42  *  *   *   *   *   *   *  * | 1  0  1  0
.. o.3o.3o.3x.3o.    &   15 |   0  60   0 |   0    0  60  20   0    0 |   0   0   0   0  30  15   0    0   0    0    0 |  0   0   0   0   0   0  6  6   0   0   0   0   0   0 |  *  *  *  * 14  *   *   *   *   *   *  * | 1  1  0  0
xo3ox3oo3oo .. ..&#x &   15 |  10  30  20 |  10    0  20  10  10   30 |   5   0   0   0   5   5  10    0   0   20    0 |  1   0   0   0   0   0  0  1   5   0   0   0   5   0 |  *  *  *  *  * 84   *   *   *   *   *  * | 0  1  1  0
xo3ox3oo .. xo ..&#x &   14 |  12  16  24 |   8    6   4   4  12   36 |   2   4   0   0   0   1   8    6   0    8   12 |  0   1   0   0   0   0  0  0   2   4   0   0   0   4 |  *  *  *  *  *  * 210   *   *   *   *  * | 0  1  0  1
xo3ox3oo .. .. ox&#x &   16 |  12  24  24 |   4   12   8   8  24   24 |   1   0   4   4   0   2   8   12   6    8    0 |  0   0   0   0   0   1  0  0   2   0   4   4   0   0 |  *  *  *  *  *  *   * 210   *   *   *  * | 0  0  1  1
xo3ox .. oo3xo ..&#x &   12 |   9  12  18 |   3    9   3   1   9   27 |   0   3   3   0   0   0   3    9   0    6    9 |  0   0   1   0   0   0  0  0   0   3   0   3   0   3 |  *  *  *  *  *  *   *   * 280   *   *  * | 0  1  0  1
xo3ox .. .. xo3ox&#x     18 |  18  18  36 |   6   18   0   6  36   36 |   0   6   0   6   0   0  12   18   9    0    9 |  0   0   0   2   0   0  0  0   0   6   6   0   0   0 |  *  *  *  *  *  *   *   *   * 140   *  * | 0  0  0  2
xo .. oo3oo3xo ..&#x &    9 |   4  12   8 |   0    6   8   0   4   12 |   0   0   4   0   2   0   0    6   0    8    0 |  0   0   0   0   1   0  0  0   0   0   0   4   2   0 |  *  *  *  *  *  *   *   *   *   * 210  * | 0  1  1  0
.. ox3oo3oo3xo ..&#x     10 |   0  20  20 |   0    0  20   0   0   60 |   0   0   0   0  10   0   0    0   0   40   30 |  0   0   0   0   0   0  2  0   0   0   0   0  10  20 |  *  *  *  *  *  *   *   *   *   *   * 42 | 0  2  0  0
-----------------------+-----+-------------+---------------------------+------------------------------------------------+------------------------------------------------------+------------------------------------------+-----------
x.3o.3o.3o.3x.3o.    &  105 | 210 420   0 | 210  630 420 140   0    0 | 105 420 420 210 210 105   0    0   0    0    0 | 21 105 140 140 105 105 42 42   0   0   0   0   0   0 |  7 35 35 21  7  0   0   0   0   0   0  0 | 2  *  *  *
xo3ox3oo3oo3xo ..&#x &   45 |  60 120 120 |  60   90 120  20  60  360 |  30  60  60   0  60  15  60   90   0  240  180 |  6  15  20   0  15   0 12  6  30  60   0  60  60 120 |  1  0  0  0  1  6  15   0  20   0  15  6 | * 14  *  *
xo3ox3oo3oo .. ox&#x &   25 |  20  60  40 |  10   30  40  20  40   60 |   5   0  20  10  10  10  20   30  10   40    0 |  1   0   0   0   5   5  0  2  10   0  10  20  10   0 |  0  0  0  1  0  2   0   5   0   0   5  0 | *  * 42
xo3ox3oo .. xo3ox&#x &   30 |  36  48  72 |  18   54  12  16  72  108 |   3  24  12  18   0   3  36   54  18   24   36 |  0   3   4   8   0   3  0  0   6  24  18  12   0  12 |  0  1  1  0  0  0   3   3   4   4   0  0 | *  *  * 70

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