Acronym brilalspil
Name bril atop inverted spil
Circumradius sqrt(7)/2 = 1.322876
Lace city
in approx. ASCII-art
   d   r  		-- o3o3o3x3o3o (inv bril)
          
d   R   p 		-- x3o3o3x3o3o (spil)

where:
d = o3o3x3o3o (dot)
r = o3o3o3x3o (inv rix)
R = x3o3x3o3o (sarx)
p = x3o3o3x3o (spix)
Confer
uniform relative:
sco  
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

ox3oo3oo3xx3oo3oo&#x   → height = 2/sqrt(7) = 0.755929
(bril || inv spil)

o.3o.3o.3o.3o.3o.    | 35   * |  12   4   0   0 |  18  12   6  36   0   0   0   0 |  12  18  4   4  36  36  36  0   0   0   0   0   0   0 |  3 12  6  1  12  18  36  12  36  12  0   0   0   0  0  0 | 3 4  3  12  18  12 12 12 0  0  0 0 | 1 3  4  6 4 0
.o3.o3.o3.o3.o3.o    |  * 140 |   0   1   3   9 |   0   0   3   9   3  18   9   9 |   0   0  0   3  18   9   9  1   9   9  18   3   9   3 |  0  0  0  1   9   9  18   3   9   3  3   9   9   6  3  3 | 0 0  3   9   9   6  3  3 3  3  3 1 | 0 3  3  3 1 1
---------------------+--------+-----------------+---------------------------------+-------------------------------------------------------+----------------------------------------------------------+------------------------------------+--------------
.. .. .. x. .. ..    |  2   0 | 210   *   *   * |   3   2   0   3   0   0   0   0 |   3   6  1   0   3   6   6  0   0   0   0   0   0   0 |  1  6  3  0   1   3   6   3  12   3  0   0   0   0  0  0 | 2 3  1   2   6   3  6  6 0  0  0 0 | 1 2  1  3 3 0
oo3oo3oo3oo3oo3oo&#x |  1   1 |   * 140   *   * |   0   0   3   9   0   0   0   0 |   0   0  0   3  18   9   9  0   0   0   0   0   0   0 |  0  0  0  1   9   9  18   3   9   3  0   0   0   0  0  0 | 0 0  3   9   9   6  3  3 0  0  0 0 | 0 3  3  3 1 0
.x .. .. .. .. ..    |  0   2 |   *   * 210   * |   0   0   1   0   2   6   0   0 |   0   0  0   2   6   0   0  1   6   3   6   0   0   0 |  0  0  0  1   6   3   6   0   0   0  3   6   3   2  0  0 | 0 0  3   6   3   2  0  0 3  2  1 0 | 0 3  2  1 0 1
.. .. .. .x .. ..    |  0   2 |   *   *   * 630 |   0   0   0   1   0   2   2   2 |   0   0  0   0   2   2   2  0   1   2   4   1   4   1 |  0  0  0  0   1   2   4   1   4   1  1   2   4   2  2  2 | 0 0  1   2   4   2  2  2 2  1  2 1 | 0 2  1  2 1 1
---------------------+--------+-----------------+---------------------------------+-------------------------------------------------------+----------------------------------------------------------+------------------------------------+--------------
.. .. o.3x. .. ..    |  3   0 |   3   0   0   0 | 210   *   *   *   *   *   *   * |   2   2  0   0   0   2   0  0   0   0   0   0   0   0 |  1  4  1  0   0   1   0   2   4   0  0   0   0   0  0  0 | 2 2  1   0   2   0  4  2 0  0  0 0 | 1 2  0  1 2 0
.. .. .. x.3o. ..    |  3   0 |   3   0   0   0 |   * 140   *   *   *   *   *   * |   0   3  1   0   0   0   3  0   0   0   0   0   0   0 |  0  3  3  0   0   0   3   0   6   3  0   0   0   0  0  0 | 1 3  0   1   3   3  3  6 0  0  0 0 | 1 1  1  3 3 0
ox .. .. .. .. ..&#x |  1   2 |   0   2   1   0 |   *   * 210   *   *   *   *   * |   0   0  0   2   6   0   0  0   0   0   0   0   0   0 |  0  0  0  1   6   3   6   0   0   0  0   0   0   0  0  0 | 0 0  3   6   3   2  0  0 0  0  0 0 | 0 3  2  1 0 0
.. .. .. xx .. ..&#x |  2   2 |   1   2   0   1 |   *   *   * 630   *   *   *   * |   0   0  0   0   2   2   2  0   0   0   0   0   0   0 |  0  0  0  0   1   2   4   1   4   1  0   0   0   0  0  0 | 0 0  1   2   4   2  2  2 0  0  0 0 | 0 2  1  2 1 0
.x3.o .. .. .. ..    |  0   3 |   0   0   3   0 |   *   *   *   * 140   *   *   * |   0   0  0   1   0   0   0  1   3   0   0   0   0   0 |  0  0  0  1   3   0   0   0   0   0  3   3   0   0  0  0 | 0 0  3   3   0   0  0  0 3  1  0 0 | 0 3  1  0 0 1
.x .. .. .x .. ..    |  0   4 |   0   0   2   2 |   *   *   *   *   * 630   *   * |   0   0  0   0   1   0   0  0   1   1   2   0   0   0 |  0  0  0  0   1   1   2   0   0   0  1   2   2   1  0  0 | 0 0  1   2   2   1  0  0 2  1  1 0 | 0 2  1  1 0 1
.. .. .o3.x .. ..    |  0   3 |   0   0   0   3 |   *   *   *   *   *   * 420   * |   0   0  0   0   0   1   0  0   0   1   0   1   2   0 |  0  0  0  0   0   1   0   1   2   0  1   0   2   0  2  1 | 0 0  1   0   2   0  2  1 2  0  1 1 | 0 2  0  1 1 1
.. .. .. .x3.o ..    |  0   3 |   0   0   0   3 |   *   *   *   *   *   *   * 420 |   0   0  0   0   0   0   1  0   0   0   2   0   2   1 |  0  0  0  0   0   0   2   0   2   1  0   1   2   2  1  2 | 0 0  0   1   2   2  1  2 1  1  2 1 | 0 1  1  2 1 1
---------------------+--------+-----------------+---------------------------------+-------------------------------------------------------+----------------------------------------------------------+------------------------------------+--------------
.. o.3o.3x. .. ..      4   0 |   6   0   0   0 |   4   0   0   0   0   0   0   0 | 105   *  *   *   *   *   *  *   *   *   *   *   *   * |  1  2  0  0   0   0   0   1   0   0  0   0   0   0  0  0 | 2 1  1   0   0   0  2  0 0  0  0 0 | 1 2  0  0 1 0
.. .. o.3x.3o. ..      6   0 |  12   0   0   0 |   4   4   0   0   0   0   0   0 |   * 105  *   *   *   *   *  *   *   *   *   *   *   * |  0  2  1  0   0   0   0   0   2   0  0   0   0   0  0  0 | 1 2  0   0   1   0  2  2 0  0  0 0 | 1 1  0  1 2 0
.. .. .. x.3o.3o.      4   0 |   6   0   0   0 |   0   4   0   0   0   0   0   0 |   *   * 35   *   *   *   *  *   *   *   *   *   *   * |  0  0  3  0   0   0   0   0   0   3  0   0   0   0  0  0 | 0 3  0   0   0   3  0  6 0  0  0 0 | 1 0  1  3 3 0
ox3oo .. .. .. ..&#x   1   3 |   0   3   3   0 |   0   0   3   0   1   0   0   0 |   *   *  * 140   *   *   *  *   *   *   *   *   *   * |  0  0  0  1   3   0   0   0   0   0  0   0   0   0  0  0 | 0 0  3   3   0   0  0  0 0  0  0 0 | 0 3  1  0 0 0
ox .. .. xx .. ..&#x   2   4 |   1   4   2   2 |   0   0   2   2   0   1   0   0 |   *   *  *   * 630   *   *  *   *   *   *   *   *   * |  0  0  0  0   1   1   2   0   0   0  0   0   0   0  0  0 | 0 0  1   2   2   1  0  0 0  0  0 0 | 0 2  1  1 0 0
.. .. oo3xx .. ..&#x   3   3 |   3   3   0   3 |   1   0   0   3   0   0   1   0 |   *   *  *   *   * 420   *  *   *   *   *   *   *   * |  0  0  0  0   0   1   0   1   2   0  0   0   0   0  0  0 | 0 0  1   0   2   0  2  1 0  0  0 0 | 0 2  0  1 1 0
.. .. .. xx3oo ..&#x   3   3 |   3   3   0   3 |   0   1   0   3   0   0   0   1 |   *   *  *   *   *   * 420  *   *   *   *   *   *   * |  0  0  0  0   0   0   2   0   2   1  0   0   0   0  0  0 | 0 0  0   1   2   2  1  2 0  0  0 0 | 0 1  1  2 1 0
.x3.o3.o .. .. ..      0   4 |   0   0   6   0 |   0   0   0   0   4   0   0   0 |   *   *  *   *   *   *   * 35   *   *   *   *   *   * |  0  0  0  1   0   0   0   0   0   0  3   0   0   0  0  0 | 0 0  3   0   0   0  0  0 3  0  0 0 | 0 3  0  0 0 1
.x3.o .. .x .. ..      0   6 |   0   0   6   3 |   0   0   0   0   2   3   0   0 |   *   *  *   *   *   *   *  * 210   *   *   *   *   * |  0  0  0  0   1   0   0   0   0   0  1   2   0   0  0  0 | 0 0  1   2   0   0  0  0 2  1  0 0 | 0 2  1  0 0 1
.x .. .o3.x .. ..      0   6 |   0   0   3   6 |   0   0   0   0   0   3   2   0 |   *   *  *   *   *   *   *  *   * 210   *   *   *   * |  0  0  0  0   0   1   0   0   0   0  1   0   2   0  0  0 | 0 0  1   0   2   0  0  0 2  0  1 0 | 0 2  0  1 0 1
.x .. .. .x3.o ..      0   6 |   0   0   3   6 |   0   0   0   0   0   3   0   2 |   *   *  *   *   *   *   *  *   *   * 420   *   *   * |  0  0  0  0   0   0   1   0   0   0  0   1   1   1  0  0 | 0 0  0   1   1   1  0  0 1  1  1 0 | 0 1  1  1 0 1
.. .o3.o3.x .. ..      0   4 |   0   0   0   6 |   0   0   0   0   0   0   4   0 |   *   *  *   *   *   *   *  *   *   *   * 105   *   * |  0  0  0  0   0   0   0   1   0   0  1   0   0   0  2  0 | 0 0  1   0   0   0  2  0 2  0  0 1 | 0 2  0  0 1 1
.. .. .o3.x3.o ..      0   6 |   0   0   0  12 |   0   0   0   0   0   0   4   4 |   *   *  *   *   *   *   *  *   *   *   *   * 210   * |  0  0  0  0   0   0   0   0   1   0  0   0   1   0  1  1 | 0 0  0   0   1   0  1  1 1  0  1 1 | 0 1  0  1 1 1
.. .. .. .x3.o.3..     0   4 |   0   0   0   6 |   0   0   0   0   0   0   0   4 |   *   *  *   *   *   *   *  *   *   *   *   *   * 105 |  0  0  0  0   0   0   0   0   0   1  0   0   0   2  0  2 | 0 0  0   0   0   2  0  2 0  1  2 1 | 0 0  1  2 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  0   0   0   0   0   0   0 | 21  *  *  *   *   *   *   *   *   *  *   *   *   *  *  * | 2 0  1   0   0   0  0  0 0  0  0 0 | 1 2  0  0 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  0   0   0   0   0   0   0 |  * 42  *  *   *   *   *   *   *   *  *   *   *   *  *  * | 1 1  0   0   0   0  1  0 0  0  0 0 | 1 1  0  0 1 0
.. .. o.3x.3o.3o.     10   0 |  30   0   0   0 |  10  20   0   0   0   0   0   0 |   0   5  5   0   0   0   0  0   0   0   0   0   0   0 |  *  * 21  *   *   *   *   *   *   *  *   *   *   *  *  * | 0 2  0   0   0   0  0  2 0  0  0 0 | 1 0  0  1 2 0
ox3oo3oo .. .. ..&#x   1   4 |   0   4   6   0 |   0   0   6   0   4   0   0   0 |   0   0  0   4   0   0   0  1   0   0   0   0   0   0 |  *  *  * 35   *   *   *   *   *   *  *   *   *   *  *  * | 0 0  3   0   0   0  0  0 0  0  0 0 | 0 3  0  0 0 0
ox3oo .. xx .. ..&#x   2   6 |   1   6   6   3 |   0   0   6   3   2   3   0   0 |   0   0  0   2   3   0   0  0   1   0   0   0   0   0 |  *  *  *  * 210   *   *   *   *   *  *   *   *   *  *  * | 0 0  1   2   0   0  0  0 0  0  0 0 | 0 2  1  0 0 0
ox .. oo3xx .. ..&#x   3   6 |   3   6   3   6 |   1   0   3   6   0   3   2   0 |   0   0  0   0   3   2   0  0   0   1   0   0   0   0 |  *  *  *  *   * 210   *   *   *   *  *   *   *   *  *  * | 0 0  1   0   2   0  0  0 0  0  0 0 | 0 2  0  1 0 0
ox .. .. xx3oo ..&#x   3   6 |   3   6   3   6 |   0   1   3   6   0   3   0   2 |   0   0  0   0   3   0   2  0   0   0   1   0   0   0 |  *  *  *  *   *   * 420   *   *   *  *   *   *   *  *  * | 0 0  0   1   1   1  0  0 0  0  0 0 | 0 1  1  1 0 0
.. oo3oo3xx .. ..&#x   4   4 |   6   4   0   6 |   4   0   0   6   0   0   4   0 |   1   0  0   0   0   4   0  0   0   0   0   1   0   0 |  *  *  *  *   *   *   * 105   *   *  *   *   *   *  *  * | 0 0  1   0   0   0  2  0 0  0  0 0 | 0 2  0  0 1 0
.. .. oo3xx3oo ..&#x   6   6 |  12   6   0  12 |   4   4   0  12   0   0   4   4 |   0   1  0   0   0   4   4  0   0   0   0   0   1   0 |  *  *  *  *   *   *   *   * 210   *  *   *   *   *  *  * | 0 0  0   0   1   0  1  1 0  0  0 0 | 0 1  0  1 1 0
.. .. .. xx3oo3oo&#x   4   4 |   6   4   0   6 |   0   4   0   6   0   0   0   4 |   0   0  1   0   0   0   4  0   0   0   0   0   0   1 |  *  *  *  *   *   *   *   *   * 105  *   *   *   *  *  * | 0 0  0   0   0   2  0  2 0  0  0 0 | 0 0  1  2 1 0
.x3.o3.o3.x .. ..      0  20 |   0   0  30  30 |   0   0   0   0  20  30  20   0 |   0   0  0   0   0   0   0  5  10  10   0   5   0   0 |  *  *  *  *   *   *   *   *   *   * 21   *   *   *  *  * | 0 0  1   0   0   0  0  0 2  0  0 0 | 0 2  0  0 0 1
.x3.o .. .x3.o ..      0   9 |   0   0   9   9 |   0   0   0   0   3   9   0   3 |   0   0  0   0   0   0   0  0   3   0   3   0   0   0 |  *  *  *  *   *   *   *   *   *   *  * 140   *   *  *  * | 0 0  0   1   0   0  0  0 1  1  0 0 | 0 1  1  0 0 1
.x .. .o3.x3.o ..      0  12 |   0   0   6  24 |   0   0   0   0   0  12   8   8 |   0   0  0   0   0   0   0  0   0   4   4   0   2   0 |  *  *  *  *   *   *   *   *   *   *  *   * 105   *  *  * | 0 0  0   0   1   0  0  0 1  0  1 0 | 0 1  0  1 0 1
.x .. .. .x3.o3.o      0   8 |   0   0   4  12 |   0   0   0   0   0   6   0   8 |   0   0  0   0   0   0   0  0   0   0   4   0   0   2 |  *  *  *  *   *   *   *   *   *   *  *   *   * 105  *  * | 0 0  0   0   0   1  0  0 0  1  1 0 | 0 0  1  1 0 1
.. .o3.o3.x3.o ..      0  10 |   0   0   0  30 |   0   0   0   0   0   0  20  10 |   0   0  0   0   0   0   0  0   0   0   0   5   5   0 |  *  *  *  *   *   *   *   *   *   *  *   *   *   * 42  * | 0 0  0   0   0   0  1  0 1  0  0 1 | 0 1  0  0 1 1
.. .. .o3.x3.o3.o      0  10 |   0   0   0  30 |   0   0   0   0   0   0  10  20 |   0   0  0   0   0   0   0  0   0   0   0   0   5   5 |  *  *  *  *   *   *   *   *   *   *  *   *   *   *  * 42 | 0 0  0   0   0   0  0  1 0  0  1 1 | 0 0  0  1 1 1
---------------------+--------+-----------------+---------------------------------+-------------------------------------------------------+----------------------------------------------------------+------------------------------------+--------------
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   0 |  6  6  0  0   0   0   0   0   0   0  0   0   0   0  0  0 | 7 *  *   *   *   *  *  * *  *  * * | 1 1  0  0 0 0
.. o.3o.3x.3o.3o.     20   0 |  90   0   0   0 |  60  60   0   0   0   0   0   0 |  15  30 15   0   0   0   0  0   0   0   0   0   0   0 |  0  6  6  0   0   0   0   0   0   0  0   0   0   0  0  0 | * 7  *   *   *   *  *  * *  *  * * | 1 0  0  0 1 0
ox3oo3oo3xx .. ..&#x   5  20 |  10  20  30  30 |  10   0  30  30  20  30  20   0 |   5   0  0  20  30  20   0  5  10  10   0   5   0   0 |  1  0  0  5  10  10   0   5   0   0  1   0   0   0  0  0 | * * 21   *   *   *  *  * *  *  * * | 0 2  0  0 0 0
ox3oo .. xx3oo ..&#x   3   9 |   3   9   9   9 |   0   1   9   9   3   9   0   3 |   0   0  0   3   9   0   3  0   3   0   3   0   0   0 |  0  0  0  0   3   0   3   0   0   0  0   1   0   0  0  0 | * *  * 140   *   *  *  * *  *  * * | 0 1  1  0 0 0
ox .. oo3xx3oo ..&#x   6  12 |  12  12   6  24 |   4   4   6  24   0  12   8   8 |   0   1  0   0  12   8   8  0   0   4   4   0   2   0 |  0  0  0  0   0   4   4   0   2   0  0   0   1   0  0  0 | * *  *   * 105   *  *  * *  *  * * | 0 1  0  1 0 0
ox .. .. xx3oo3oo&#x   4   8 |   6   8   4  12 |   0   4   4  12   0   6   0   8 |   0   0  1   0   6   0   8  0   0   0   4   0   0   2 |  0  0  0  0   0   0   4   0   0   2  0   0   0   1  0  0 | * *  *   *   * 105  *  * *  *  * * | 0 0  1  1 0 0
.. oo3oo3xx3oo ..&#x  10  10 |  30  10   0  30 |  20  10   0  30   0   0  20  10 |   5   5  0   0   0  20  10  0   0   0   0   5   5   0 |  0  1  0  0   0   0   0   5   5   0  0   0   0   0  1  0 | * *  *   *   *   * 42  * *  *  * * | 0 1  0  0 1 0
.. .. oo3xx3oo3oo&#x  10  10 |  30  10   0  30 |  10  20   0  30   0   0  10  20 |   0   5  5   0   0  10  20  0   0   0   0   0   5   5 |  0  0  1  0   0   0   0   0   5   5  0   0   0   0  0  1 | * *  *   *   *   *  * 42 *  *  * * | 0 0  0  1 1 0
.x3.o3.o3.x3.o ..      0  60 |   0   0  90 180 |   0   0   0   0  60 180 120  60 |   0   0  0   0   0   0   0 15  60  60  60  30  30   0 |  0  0  0  0   0   0   0   0   0   0  6  20  15   0  6  0 | * *  *   *   *   *  *  * 7  *  * * | 0 1  0  0 0 1
.x3.o .. .x3.o3.o      0  12 |   0   0  12  18 |   0   0   0   0   4  18   0  12 |   0   0  0   0   0   0   0  0   6   0  12   0   0   3 |  0  0  0  0   0   0   0   0   0   0  0   4   0   3  0  0 | * *  *   *   *   *  *  * * 35  * * | 0 0  1  0 0 1
.x .. .o3.x3.o3.o      0  20 |   0   0  10  60 |   0   0   0   0   0  30  20  40 |   0   0  0   0   0   0   0  0   0  10  20   0  10  10 |  0  0  0  0   0   0   0   0   0   0  0   0   5   5  0  2 | * *  *   *   *   *  *  * *  * 21 * | 0 0  0  1 0 1
.. .o3.o3.x3.o3.o      0  20 |   0   0   0  90 |   0   0   0   0   0   0  60  60 |   0   0  0   0   0   0   0  0   0   0   0  15  30  15 |  0  0  0  0   0   0   0   0   0   0  0   0   0   0  6  6 | * *  *   *   *   *  *  * *  *  * 7 | 0 0  0  0 1 1
---------------------+--------+-----------------+---------------------------------+-------------------------------------------------------+----------------------------------------------------------+------------------------------------+--------------
o.3o.3o.3x.3o.3o.     35   0 | 210   0   0   0 | 210 140   0   0   0   0   0   0 | 105 105 35   0   0   0   0  0   0   0   0   0   0   0 | 21 42 21  0   0   0   0   0   0   0  0   0   0   0  0  0 | 7 7  0   0   0   0  0  0 0  0  0 0 | 1 *  *  * * *
ox3oo3oo3xx3oo ..&#x  15  60 |  60  60  90 180 |  60  20  90 180  60 180 120  60 |  30  15  0  60 180 120  60 15  60  60  60  30  30   0 |  6  6  0 15  60  60  60  30  30   0  6  20  15   0  6  0 | 1 0  6  20  15   0  6  0 1  0  0 0 | * 7  *  * * *
ox3oo .. xx3oo3oo&#x   4  12 |   6  12  12  18 |   0   4  12  18   4  18   0  12 |   0   0  1   4  18   0  12  0   6   0  12   0   0   3 |  0  0  0  0   6   0  12   0   0   3  0   4   0   3  0  0 | 0 0  0   4   0   3  0  0 0  1  0 0 | * * 35  * * *
ox .. oo3xx3oo3oo&#x  10  20 |  30  20  10  60 |  10  20  10  60   0  30  20  40 |   0   5  5   0  30  20  40  0   0  10  20   0  10  10 |  0  0  1  0   0  10  20   0  10  10  0   0   5   5  0  2 | 0 0  0   0   5   5  0  2 0  0  1 0 | * *  * 21 * *
.. oo3oo3xx3oo3oo&#x  20  20 |  90  20   0  90 |  60  60   0  90   0   0  60  60 |  15  30 15   0   0  60  60  0   0   0   0  15  30  15 |  0  6  6  0   0   0   0  15  30  15  0   0   0   0  6  6 | 0 1  0   0   0   0  6  6 0  0  0 1 | * *  *  * 7 *
.x3.o3.o3.x3.o3.o      0 140 |   0   0 210 630 |   0   0   0   0 140 630 420 420 |   0   0  0   0   0   0   0 35 210 210 420 105 210 105 |  0  0  0  0   0   0   0   0   0   0 21 140 105 105 42 42 | 0 0  0   0   0   0  0  0 7 35 21 7 | * *  *  * * 1

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