Incidence matrix according to Dynkin symbol

x3o3o3o x3o3o4o

. . . . . . . . | 40 |  4   6 |  6  24  12 |  4  36  48  8 | 1  24  72  32 1 |  6  48  48  4 | 12 32  6 |  8 4
----------------+----+--------+------------+---------------+-----------------+---------------+----------+-----
x . . . . . . . |  2 | 80   * |  3   6   0 |  3  18  12  0 | 1  18  36   8 0 |  6  36  24  1 | 12 24  3 |  8 3
. . . . x . . . |  2 |  * 120 |  0   4   4 |  0   6  16  4 | 0   4  24  16 1 |  1  16  24  4 |  4 16  6 |  4 4
----------------+----+--------+------------+---------------+-----------------+---------------+----------+-----
x3o . . . . . . |  3 |  3   0 | 80   *   * |  2   6   0  0 | 1  12  12   0 0 |  6  24  12  0 | 12 16  1 |  8 2
x . . . x . . . |  4 |  2   2 |  * 240   * |  0   3   4  0 | 0   3  12   4 0 |  1  12  12  1 |  4 12  3 |  4 3
. . . . x3o . . |  3 |  0   3 |  *   * 160 |  0   0   4  2 | 0   0   6   8 1 |  0   4  12  4 |  1  8  6 |  2 4
----------------+----+--------+------------+---------------+-----------------+---------------+----------+-----
x3o3o . . . . . ♦  4 |  6   0 |  4   0   0 | 40   *   *  * | 1   6   0   0 0 |  6  12   0  0 | 12  8  0 |  8 1
x3o . . x . . . ♦  6 |  6   3 |  2   3   0 |  * 240   *  * | 0   2   4   0 0 |  1   8   4  0 |  4  8  1 |  4 2
x . . . x3o . . ♦  6 |  3   6 |  0   3   2 |  *   * 320  * | 0   0   3   2 0 |  0   3   6  1 |  1  6  3 |  2 3
. . . . x3o3o . ♦  4 |  0   6 |  0   0   4 |  *   *   * 80 | 0   0   0   4 1 |  0   0   6  4 |  0  4  6 |  1 4
----------------+----+--------+------------+---------------+-----------------+---------------+----------+-----
x3o3o3o . . . . ♦  5 | 10   0 | 10   0   0 |  5   0   0  0 | 8   *   *   * * ♦  6   0   0  0 | 12  0  0 |  8 0
x3o3o . x . . . ♦  8 | 12   4 |  8   6   0 |  2   4   0  0 | * 120   *   * * |  1   4   0  0 |  4  4  0 |  4 1
x3o . . x3o . . ♦  9 |  9   9 |  3   9   3 |  0   3   3  0 | *   * 320   * * |  0   2   2  0 |  1  4  1 |  2 2
x . . . x3o3o . ♦  8 |  4  12 |  0   6   8 |  0   0   4  2 | *   *   * 160 * |  0   0   3  1 |  0  3  3 |  1 3
. . . . x3o3o4o ♦  8 |  0  24 |  0   0  32 |  0   0   0 16 | *   *   *   * 5 ♦  0   0   0  4 |  0  0  6 |  0 4
----------------+----+--------+------------+---------------+-----------------+---------------+----------+-----
x3o3o3o x . . . ♦ 10 | 20   5 | 20  10   0 | 10  10   0  0 | 2   5   0   0 0 | 24   *   *  * |  4  0  0 |  4 0
x3o3o . x3o . . ♦ 12 | 18  12 | 12  18   4 |  3  12   6  0 | 0   3   4   0 0 |  * 160   *  * |  1  2  0 |  2 1
x3o . . x3o3o . ♦ 12 | 12  18 |  6  18  12 |  0   6  12  3 | 0   0   4   3 0 |  *   * 160  * |  0  2  1 |  1 2
x . . . x3o3o4o ♦ 16 |  8  48 |  0  24  64 |  0   0  32 32 | 0   0   0  16 2 |  *   *   * 10 |  0  0  3 |  0 3
----------------+----+--------+------------+---------------+-----------------+---------------+----------+-----
x3o3o3o x3o . . ♦ 15 | 30  15 | 30  30   5 | 15  30  10  0 | 3  15  10   0 0 |  3   5   0  0 | 32  *  * |  2 0
x3o3o . x3o3o . ♦ 16 | 24  24 | 16  36  16 |  4  24  24  4 | 0   6  16   6 0 |  0   4   4  0 |  * 80  * |  1 1
x3o . . x3o3o4o ♦ 24 | 24  72 |  8  72  96 |  0  24  96 48 | 0   0  32  48 3 |  0   0  16  3 |  *  * 10 |  0 2
----------------+----+--------+------------+---------------+-----------------+---------------+----------+-----
x3o3o3o x3o3o . ♦ 20 | 40  30 | 40  60  20 | 20  60  40  5 | 4  30  40  10 0 |  6  20  10  0 |  4  5  0 | 16 *
x3o3o . x3o3o4o ♦ 32 | 48  96 | 32 144 128 |  8  96 192 64 | 0  24 128  96 4 |  0  32  64  6 |  0 16  4 |  * 5

x3o3o3o x3o3o *f3o

. . . . . . .    . | 40 |  4   6 |  6  24  12 |  4  36  48  4  4 | 1  24  72 16 16 1 |  6  48 24 24  4 | 12 16 16  6 | 4 4 4
-------------------+----+--------+------------+------------------+-------------------+-----------------+-------------+------
x . . . . . .    . |  2 | 80   * |  3   6   0 |  3  18  12  0  0 | 1  18  36  4  4 0 |  6  36 12 12  1 | 12 12 12  3 | 4 4 3
. . . . x . .    . |  2 |  * 120 |  0   4   4 |  0   6  16  2  2 | 0   4  24  8  8 1 |  1  16 12 12  4 |  4  8  8  6 | 2 2 4
-------------------+----+--------+------------+------------------+-------------------+-----------------+-------------+------
x3o . . . . .    . |  3 |  3   0 | 80   *   * |  2   6   0  0  0 | 1  12  12  0  0 0 |  6  24  6  6  0 | 12  8  8  1 | 4 4 2
x . . . x . .    . |  4 |  2   2 |  * 240   * |  0   3   4  0  0 | 0   3  12  2  2 0 |  1  12  6  6  1 |  4  6  6  3 | 2 2 3
. . . . x3o .    . |  3 |  0   3 |  *   * 160 |  0   0   4  1  1 | 0   0   6  4  4 1 |  0   4  6  6  4 |  1  4  4  6 | 1 1 4
-------------------+----+--------+------------+------------------+-------------------+-----------------+-------------+------
x3o3o . . . .    . ♦  4 |  6   0 |  4   0   0 | 40   *   *  *  * | 1   6   0  0  0 0 |  6  12  0  0  0 | 12  4  4  0 | 4 4 1
x3o . . x . .    . ♦  6 |  6   3 |  2   3   0 |  * 240   *  *  * | 0   2   4  0  0 0 |  1   8  2  2  0 |  4  4  4  1 | 2 2 2
x . . . x3o .    . ♦  6 |  3   6 |  0   3   2 |  *   * 320  *  * | 0   0   3  1  1 0 |  0   3  3  3  1 |  1  3  3  3 | 1 1 3
. . . . x3o3o    . ♦  4 |  0   6 |  0   0   4 |  *   *   * 40  * | 0   0   0  4  0 1 |  0   0  6  0  4 |  0  4  0  6 | 1 0 4
. . . . x3o . *f3o ♦  4 |  0   6 |  0   0   4 |  *   *   *  * 40 | 0   0   0  0  4 1 |  0   0  0  6  4 |  0  0  4  6 | 0 1 4
-------------------+----+--------+------------+------------------+-------------------+-----------------+-------------+------
x3o3o3o . . .    . ♦  5 | 10   0 | 10   0   0 |  5   0   0  0  0 | 8   *   *  *  * * ♦  6   0  0  0  0 | 12  0  0  0 | 4 4 0
x3o3o . x . .    . ♦  8 | 12   4 |  8   6   0 |  2   4   0  0  0 | * 120   *  *  * * |  1   4  0  0  0 |  4  2  2  0 | 2 2 1
x3o . . x3o .    . ♦  9 |  9   9 |  3   9   3 |  0   3   3  0  0 | *   * 320  *  * * |  0   2  1  1  0 |  1  2  2  1 | 1 1 2
x . . . x3o3o    . ♦  8 |  4  12 |  0   6   8 |  0   0   4  2  0 | *   *   * 80  * * |  0   0  3  0  1 |  0  3  0  3 | 1 0 3
x . . . x3o . *f3o ♦  8 |  4  12 |  0   6   8 |  0   0   4  0  2 | *   *   *  * 80 * |  0   0  0  3  1 |  0  0  3  3 | 0 1 3
. . . . x3o3o *f3o ♦  8 |  0  24 |  0   0  32 |  0   0   0  8  8 | *   *   *  *  * 5 ♦  0   0  0  0  4 |  0  0  0  6 | 0 0 4
-------------------+----+--------+------------+------------------+-------------------+-----------------+-------------+------
x3o3o3o x . .    . ♦ 10 | 20   5 | 20  10   0 | 10  10   0  0  0 | 2   5   0  0  0 0 | 24   *  *  *  * |  4  0  0  0 | 2 2 0
x3o3o . x3o .    . ♦ 12 | 18  12 | 12  18   4 |  3  12   6  0  0 | 0   3   4  0  0 0 |  * 160  *  *  * |  1  1  1  0 | 1 1 1
x3o . . x3o3o    . ♦ 12 | 12  18 |  6  18  12 |  0   6  12  3  0 | 0   0   4  3  0 0 |  *   * 80  *  * |  0  2  0  1 | 1 0 2
x3o . . x3o . *f3o ♦ 12 | 12  18 |  6  18  12 |  0   6  12  0  3 | 0   0   4  0  3 0 |  *   *  * 80  * |  0  0  2  1 | 0 1 2
x . . . x3o3o *f3o ♦ 16 |  8  48 |  0  24  64 |  0   0  32 16 16 | 0   0   0  8  8 2 |  *   *  *  * 10 |  0  0  0  3 | 0 0 3
-------------------+----+--------+------------+------------------+-------------------+-----------------+-------------+------
x3o3o3o x3o .    . ♦ 15 | 30  15 | 30  30   5 | 15  30  10  0  0 | 3  15  10  0  0 0 |  3   5  0  0  0 | 32  *  *  * | 1 1 0
x3o3o . x3o3o    . ♦ 16 | 24  24 | 16  36  16 |  4  24  24  4  0 | 0   6  16  6  0 0 |  0   4  4  0  0 |  * 40  *  * | 1 0 1
x3o3o . x3o . *f3o ♦ 16 | 24  24 | 16  36  16 |  4  24  24  0  4 | 0   6  16  0  6 0 |  0   4  0  4  0 |  *  * 40  * | 0 1 1
x3o . . x3o3o *f3o ♦ 24 | 24  72 |  8  72  96 |  0  24  96 24 24 | 0   0  32 24 24 3 |  0   0  8  8  3 |  *  *  * 10 | 0 0 2
-------------------+----+--------+------------+------------------+-------------------+-----------------+-------------+------
x3o3o3o x3o3o    . ♦ 20 | 40  30 | 40  60  20 | 20  60  40  5  0 | 4  30  40 10  0 0 |  6  20 10  0  0 |  4  5  0  0 | 8 * *
x3o3o3o x3o . *f3o ♦ 20 | 40  30 | 40  60  20 | 20  60  40  0  5 | 4  30  40  0 10 0 |  6  20  0 10  0 |  4  0  5  0 | * 8 *
x3o3o . x3o3o *f3o ♦ 32 | 48  96 | 32 144 128 |  8  96 192 32 32 | 0  24 128 48 48 4 |  0  32 32 32  6 |  0  8  8  4 | * * 5

ox3oo3oo xx3oo3oo4oo&#x   → height = sqrt(5/8) = 0.790569

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xo ox3oo xx3oo3oo4oo&#x   → height = sqrt(5/12) = 0.645497

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ox3oo3oo xx3oo3oo *e3oo&#x   → height = sqrt(5/8) = 0.790569

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xo ox3oo xx3oo3oo *e3oo&#x   → height = sqrt(5/12) = 0.645497

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xo3oo3ox xx3oo3oo3oo&#x   → height = 1/sqrt(2) = 0.707107

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