Acronym spil
Name small prismated heptapeton,
runcinated heptapeton
Circumradius sqrt(12/7) = 1.309307
Lace city
in approx. ASCII-art
          _+---------- x o3x3o3o (rappip)
        _/        _+-- x x3o3x3o (srippip)
      _/        _/

    r    R  		-- o3o3x3o3o (dot)
            
            
r    t    S 		-- x3o3x3o3o (sarx)
            
            
 R    S    s		-- x3o3o3x3o (spix)

where:
r = o3x3o3o (rap)
R = o3o3x3o (inv. rap)
t = x3x3o3o (tip)
S = x3o3x3o (srip)
s = x3o3o3x (spid)
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3o3o3x3o3o

. . . . . . | 140    3   9 |   3  18   9   9 |  1   9   9  18   3   9   3 |  3   9   9   6  3  3 | 3  3  3 1
------------+-----+---------+-----------------+----------------------------+----------------------+----------
x . . . . . |   2 | 210   * |   2   6   0   0 |  1   6   3   6   0   0   0 |  3   6   3   2  0  0 | 3  2  1 0
. . . x . . |   2 |   * 630 |   0   2   2   2 |  0   1   2   4   1   4   1 |  1   2   4   2  2  2 | 2  1  2 1
------------+-----+---------+-----------------+----------------------------+----------------------+----------
x3o . . . . |   3 |   3   0 | 140   *   *   * |  1   3   0   0   0   0   0 |  3   3   0   0  0  0 | 3  1  0 0
x . . x . . |   4 |   2   2 |   * 630   *   * |  0   1   1   2   0   0   0 |  1   2   2   1  0  0 | 2  1  1 0
. . o3x . . |   3 |   0   3 |   *   * 420   * |  0   0   1   0   1   2   0 |  1   0   2   0  2  1 | 2  0  1 1
. . . x3o . |   3 |   0   3 |   *   *   * 420 |  0   0   0   2   0   2   1 |  0   1   2   2  1  2 | 1  1  2 1
------------+-----+---------+-----------------+----------------------------+----------------------+----------
x3o3o . . .    4 |   6   0 |   4   0   0   0 | 35   *   *   *   *   *   * |  3   0   0   0  0  0 | 3  0  0 0
x3o . x . .    6 |   6   3 |   2   3   0   0 |  * 210   *   *   *   *   * |  1   2   0   0  0  0 | 2  1  0 0
x . o3x . .    6 |   3   6 |   0   3   2   0 |  *   * 210   *   *   *   * |  1   0   2   0  0  0 | 2  0  1 0
x . . x3o .    6 |   3   6 |   0   3   0   2 |  *   *   * 420   *   *   * |  0   1   1   1  0  0 | 1  1  1 0
. o3o3x . .    4 |   0   6 |   0   0   4   0 |  *   *   *   * 105   *   * |  1   0   0   0  2  0 | 2  0  0 1
. . o3x3o .    6 |   0  12 |   0   0   4   4 |  *   *   *   *   * 210   * |  0   0   1   0  1  1 | 1  0  1 1
. . . x3o3o    4 |   0   6 |   0   0   0   4 |  *   *   *   *   *   * 105 |  0   0   0   2  0  2 | 0  1  2 1
------------+-----+---------+-----------------+----------------------------+----------------------+----------
x3o3o3x . .   20 |  30  30 |  20  30  20   0 |  5  10  10   0   5   0   0 | 21   *   *   *  *  * | 2  0  0 0
x3o . x3o .    9 |   9   9 |   3   9   0   3 |  0   3   0   3   0   0   0 |  * 140   *   *  *  * | 1  1  0 0
x . o3x3o .   12 |   6  24 |   0  12   8   8 |  0   0   4   4   0   2   0 |  *   * 105   *  *  * | 1  0  1 0
x . . x3o3o    8 |   4  12 |   0   6   0   8 |  0   0   0   4   0   0   2 |  *   *   * 105  *  * | 0  1  1 0
. o3o3x3o .   10 |   0  30 |   0   0  20  10 |  0   0   0   0   5   5   0 |  *   *   *   * 42  * | 1  0  0 1
. . o3x3o3o   10 |   0  30 |   0   0  10  20 |  0   0   0   0   0   5   5 |  *   *   *   *  * 42 | 0  0  1 1
------------+-----+---------+-----------------+----------------------------+----------------------+----------
x3o3o3x3o .   60 |  90 180 |  60 180 120  60 | 15  60  60  60  30  30   0 |  6  20  15   0  6  0 | 7  *  * *
x3o . x3o3o   12 |  12  18 |   4  18   0  12 |  0   6   0  12   0   0   3 |  0   4   0   3  0  0 | * 35  * *
x . o3x3o3o   20 |  10  60 |   0  30  20  40 |  0   0  10  20   0  10  10 |  0   0   5   5  0  2 | *  * 21 *
. o3o3x3o3o   20 |   0  90 |   0   0  60  60 |  0   0   0   0  15  30  15 |  0   0   0   0  6  6 | *  *  * 7

ooo3oox3xxo3ooo3oxx&#xt   → both heights = sqrt(7/12) = 0.763763
(dot || pseudo sarx || spix)

...

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