Acronym topal (old: stopal)
Name teriprismated heptapeton,
penticantellated heptapeton
Circumradius sqrt(20/7) = 1.690309
Lace city
in approx. ASCII-art
   s   t   r   		-- x3o3x3o3o (sarx)
               
s   p   P   S  		-- x3o3x3o3x (card)
               
 t   P   u   d 		-- x3x3o3o3x (cappix)
               
  r   S   d    		-- o3x3o3o3x (inv spix)

where:
s = x3o3x3o (srip)
S = o3x3o3x (inv srip)
t = x3x3o3o (tip) 
r = o3x3o3o (rap)
p = x3o3x3x (prip)
P = x3x3o3x (inv prip)
d = x3o3o3x (spid)
u = u3o3o3x (ux-spid)
Face vector 420, 2310, 4340, 3570, 1246, 126
Confer
general polytopal classes:
Wythoffian polypeta  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

x3o3x3o3o3x

. . . . . . | 420 |   2    6   3 |   1   6   6   3   6   12   3 |   3   3   6  12   6   3   6   2   6   6   1 |  3   6   3   2   6   6   2  1   3   3  2 | 1  3  3  1  2 1
------------+-----+--------------+------------------------------+---------------------------------------------+------------------------------------------+----------------
x . . . . . |   2 | 420    *   * |   1   3   3   0   0    0   0 |   3   3   3   6   3   0   0   0   0   0   0 |  3   6   3   1   3   3   1  0   0   0  0 | 1  3  3  1  1 0
. . x . . . |   2 |   * 1260   * |   0   1   0   1   2    2   0 |   1   0   2   2   0   2   2   1   2   1   0 |  2   2   0   1   2   1   0  1   2   1  1 | 1  2  1  0  1 1
. . . . . x |   2 |   *    * 630 |   0   0   2   0   0    4   2 |   0   1   0   4   4   0   2   0   2   4   1 |  0   2   2   0   2   4   2  0   1   2  2 | 0  1  2  1  2 1
------------+-----+--------------+------------------------------+---------------------------------------------+------------------------------------------+----------------
x3o . . . . |   3 |   3    0   0 | 140   *   *   *   *    *   * |   3   3   0   0   0   0   0   0   0   0   0 |  3   6   3   0   0   0   0  0   0   0  0 | 1  3  3  1  0 0
x . x . . . |   4 |   2    2   0 |   * 630   *   *   *    *   * |   1   0   2   2   0   0   0   0   0   0   0 |  2   2   0   1   2   1   0  0   0   0  0 | 1  2  1  0  1 0
x . . . . x |   4 |   2    0   2 |   *   * 630   *   *    *   * |   0   1   0   2   2   0   0   0   0   0   0 |  0   2   2   0   1   2   1  0   0   0  0 | 0  1  2  1  1 0
. o3x . . . |   3 |   0    3   0 |   *   *   * 420   *    *   * |   1   0   0   0   0   2   2   0   0   0   0 |  2   2   0   0   0   0   0  1   2   1  0 | 1  2  1  0  0 1
. . x3o . . |   3 |   0    3   0 |   *   *   *   * 840    *   * |   0   0   1   0   0   1   0   1   1   0   0 |  1   0   0   1   1   0   0  1   1   0  1 | 1  1  0  0  1 1
. . x . . x |   4 |   0    2   2 |   *   *   *   *   * 1260   * |   0   0   0   1   0   0   1   0   1   1   0 |  0   1   0   0   1   1   0  0   1   1  1 | 0  1  1  0  1 1
. . . . o3x |   3 |   0    0   3 |   *   *   *   *   *    * 420 |   0   0   0   0   2   0   0   0   0   2   1 |  0   0   1   0   0   2   2  0   0   1  2 | 0  0  1  1  2 1
------------+-----+--------------+------------------------------+---------------------------------------------+------------------------------------------+----------------
x3o3x . . .   12 |  12   12   0 |   4   6   0   4   0    0   0 | 105   *   *   *   *   *   *   *   *   *   * |  2   2   0   0   0   0   0  0   0   0  0 | 1  2  1  0  0 0
x3o . . . x    6 |   6    0   3 |   2   0   3   0   0    0   0 |   * 210   *   *   *   *   *   *   *   *   * |  0   2   2   0   0   0   0  0   0   0  0 | 0  1  2  1  0 0
x . x3o . .    6 |   3    6   0 |   0   3   0   0   2    0   0 |   *   * 420   *   *   *   *   *   *   *   * |  1   0   0   1   1   0   0  0   0   0  0 | 1  1  0  0  1 0
x . x . . x    8 |   4    4   4 |   0   2   2   0   0    2   0 |   *   *   * 630   *   *   *   *   *   *   * |  0   1   0   0   1   1   0  0   0   0  0 | 0  1  1  0  1 0
x . . . o3x    6 |   3    0   6 |   0   0   3   0   0    0   2 |   *   *   *   * 420   *   *   *   *   *   * |  0   0   1   0   0   1   1  0   0   0  0 | 0  0  1  1  1 0
. o3x3o . .    6 |   0   12   0 |   0   0   0   4   4    0   0 |   *   *   *   *   * 210   *   *   *   *   * |  1   0   0   0   0   0   0  1   1   0  0 | 1  1  0  0  0 1
. o3x . . x    6 |   0    6   3 |   0   0   0   2   0    3   0 |   *   *   *   *   *   * 420   *   *   *   * |  0   1   0   0   0   0   0  0   1   1  0 | 0  1  1  0  0 1
. . x3o3o .    4 |   0    6   0 |   0   0   0   0   4    0   0 |   *   *   *   *   *   *   * 210   *   *   * |  0   0   0   1   0   0   0  1   0   0  1 | 1  0  0  0  1 1
. . x3o . x    6 |   0    6   3 |   0   0   0   0   2    3   0 |   *   *   *   *   *   *   *   * 420   *   * |  0   0   0   0   1   0   0  0   1   0  1 | 0  1  0  0  1 1
. . x . o3x    6 |   0    3   6 |   0   0   0   0   0    3   2 |   *   *   *   *   *   *   *   *   * 420   * |  0   0   0   0   0   1   0  0   0   1  1 | 0  0  1  0  1 1
. . . o3o3x    4 |   0    0   6 |   0   0   0   0   0    0   4 |   *   *   *   *   *   *   *   *   *   * 105 |  0   0   0   0   0   0   2  0   0   0  2 | 0  0  0  1  2 1
------------+-----+--------------+------------------------------+---------------------------------------------+------------------------------------------+----------------
x3o3x3o . .   30 |  30   60   0 |  10  30   0  20  20    0   0 |   5   0  10   0   0   5   0   0   0   0   0 | 42   *   *   *   *   *   *  *   *   *  * | 1  1  0  0  0 0
x3o3x . . x   24 |  24   24  12 |   8  12  12   8   0   12   0 |   2   4   0   6   0   0   4   0   0   0   0 |  * 105   *   *   *   *   *  *   *   *  * | 0  1  1  0  0 0
x3o . . o3x    9 |   9    0   9 |   3   0   9   0   0    0   3 |   0   3   0   0   3   0   0   0   0   0   0 |  *   * 140   *   *   *   *  *   *   *  * | 0  0  1  1  0 0
x . x3o3o .    8 |   4   12   0 |   0   6   0   0   8    0   0 |   0   0   4   0   0   0   0   2   0   0   0 |  *   *   * 105   *   *   *  *   *   *  * | 1  0  0  1  0 0
x . x3o . x   12 |   6   12   6 |   0   6   3   0   4    6   0 |   0   0   2   3   0   0   0   0   2   0   0 |  *   *   *   * 210   *   *  *   *   *  * | 0  1  0  0  1 0
x . x . o3x   12 |   6    6  12 |   0   3   6   0   0    6   4 |   0   0   0   3   2   0   0   0   0   2   0 |  *   *   *   *   * 210   *  *   *   *  * | 0  0  1  0  1 0
x . . o3o3x    8 |   4    0  12 |   0   0   6   0   0    0   8 |   0   0   0   0   4   0   0   0   0   0   2 |  *   *   *   *   *   * 105  *   *   *  * | 0  0  0  1  1 0
. o3x3o3o .   10 |   0   30   0 |   0   0   0  10  20    0   0 |   0   0   0   0   0   5   0   5   0   0   0 |  *   *   *   *   *   *   * 42   *   *  * | 1  0  0  0  0 1
. o3x3o . x   12 |   0   24   6 |   0   0   0   8   8   12   0 |   0   0   0   0   0   2   4   0   4   0   0 |  *   *   *   *   *   *   *  * 105   *  * | 0  1  0  0  0 1
. o3x . o3x    9 |   0    9   9 |   0   0   0   3   0    9   3 |   0   0   0   0   0   0   3   0   0   3   0 |  *   *   *   *   *   *   *  *   * 140  * | 0  0  1  0  0 1
. . x3o3o3x   20 |   0   30  30 |   0   0   0   0  20   30  20 |   0   0   0   0   0   0   0   5  10  10   5 |  *   *   *   *   *   *   *  *   *   * 42 | 0  0  0  0  1 1
------------+-----+--------------+------------------------------+---------------------------------------------+------------------------------------------+----------------
x3o3x3o3o .   60 |  60  180   0 |  20  90   0  60 120    0   0 |  15   0  60   0   0  30   0  30   0   0   0 |  6   0   0  15   0   0   0  6   0   0  0 | 7  *  *  *  * *
x3o3x3o . x   60 |  60  120  30 |  20  60  30  40  40   60   0 |  10  10  20  30   0  10  20   0  20   0   0 |  2   5   0   0  10   0   0  0   5   0  0 | * 21  *  *  * *
x3o3x . o3x   36 |  36   36  36 |  12  18  36  12   0   36  12 |   3  12   0  18  12   0  12   0   0  12   0 |  0   3   4   0   0   6   0  0   0   4  0 | *  * 35  *  * *
x3o . o3o3x   12 |  12    0  18 |   4   0  18   0   0    0  12 |   0   6   0   0  12   0   0   0   0   0   3 |  0   0   4   0   0   0   3  0   0   0  0 | *  *  * 35  * *
x . x3o3o3x   40 |  20   60  60 |   0  30  30   0  40   60  40 |   0   0  20  30  20   0   0  10  20  20  10 |  0   0   0   5  10  10   5  0   0   0  2 | *  *  *  * 21 *
. o3x3o3o3x   60 |   0  180  90 |   0   0   0  60 120  180  60 |   0   0   0   0   0  30  60  30  60  60  15 |  0   0   0   0   0   0   0  6  15  20  6 | *  *  *  *  * 7

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