Acronym suthesa
Name small terated demihepteract,
hexic hepteract
Circumradius sqrt(15/8) = 1.369306
Inradius
wrt. hop
9/sqrt(56) = 1.202676
Inradius
wrt. staf
sqrt(7/8) = 0.935414
Inradius
wrt. tetdip
3/sqrt(8) = 1.060660
Inradius
wrt. trahex
5/sqrt(24) = 1.020621
Inradius
wrt. hinnip
1
Inradius
wrt. hax
3/sqrt(8) = 1.060660
Lace city
in approx. ASCII-art
 ©  
    H   h    		-- x3o3o *b3o3o3o (hax)
             
H   S   s   h		-- x3o3o *b3o3o3x (sochax)
             
h   s   S   H		-- o3o3x *b3o3o3x (alt. sochax)
             
    h   H    		-- o3o3x *b3o3o3o (alt. hax)

where:
H = x3o3o *b3o3o (hin)
h = o3o3x *b3o3o (alt. hin)
S = x3o3o *b3o3x (siphin)
s = o3o3x *b3o3x (alt. siphin)
Coordinates (3/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8))     & all permutations, all even changes of sign
Confer
analogs:
maximal expanded demihypercube eDn  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

x3o3o *b3o3o3o3x

o3o3o *b3o3o3o3o | 448 |   15    6 |   60   60   15 |   20   60   180   90   20 |  15   60   30  120  180   60   15 |   6  30   60   6   30   60   60  15   6 |  1  6  15  20  6  1
-----------------+-----+-----------+----------------+---------------------------+-----------------------------------+-----------------------------------------+--------------------
x . .    . . . . |   2 | 3360    * |    8    4    0 |    4   12    24    6    0 |   6   12    8   24   24    4    0 |   4  12   12   2    8   12    8   1   0 |  1  4   6   4  2  0
. . .    . . . x |   2 |    * 1344 |    0   10    5 |    0    0    30   30   10 |   0   10    0   20   60   30   10 |   0   5   20   0    5   20   30  10   5 |  0  1   5  10  5  1
-----------------+-----+-----------+----------------+---------------------------+-----------------------------------+-----------------------------------------+--------------------
x3o .    . . . . |   3 |    3    0 | 8960    *    * |    1    3     3    0    0 |   3    3    3    6    3    0    0 |   3   6    3   1    3    3    1   0   0 |  1  3   3   1  1  0
x . .    . . . x |   4 |    2    2 |    * 6720    * |    0    0     6    3    0 |   0    3    0    6   12    3    0 |   0   3    6   0    2    6    6   1   0 |  0  1   3   3  2  0
. . .    . . o3x |   3 |    0    3 |    *    * 2240 |    0    0     0    6    4 |   0    0    0    0   12   12    6 |   0   0    4   0    0    4   12   6   4 |  0  0   1   4  4  1
-----------------+-----+-----------+----------------+---------------------------+-----------------------------------+-----------------------------------------+--------------------
x3o3o    . . . .    4 |    6    0 |    4    0    0 | 2240    *     *    *    * |   3    3    0    0    0    0    0 |   3   6    3   0    0    0    0   0   0 |  1  3   3   1  0  0
x3o . *b3o . . .    4 |    6    0 |    4    0    0 |    * 6720     *    *    * |   1    0    2    2    0    0    0 |   2   2    0   1    2    1    0   0   0 |  1  2   1   0  1  0
x3o .    . . . x    6 |    6    3 |    2    3    0 |    *    * 13440    *    * |   0    1    0    2    2    0    0 |   0   2    2   0    1    2    1   0   0 |  0  1   2   1  1  0
x . .    . . o3x    6 |    3    6 |    0    3    2 |    *    *     * 6720    * |   0    0    0    0    4    2    0 |   0   0    2   0    0    2    4   1   0 |  0  0   1   2  2  0
. . .    . o3o3x    4 |    0    6 |    0    0    4 |    *    *     *    * 2240 |   0    0    0    0    0    3    3 |   0   0    0   0    0    0    3   3   3 |  0  0   0   1  3  1
-----------------+-----+-----------+----------------+---------------------------+-----------------------------------+-----------------------------------------+--------------------
x3o3o *b3o . . .    8 |   24    0 |   32    0    0 |    8    8     0    0    0 | 840    *    *    *    *    *    * |   2   2    0   0    0    0    0   0   0 |  1  2   1   0  0  0
x3o3o    . . . x    8 |   12    4 |    8    6    0 |    2    0     4    0    0 |   * 3360    *    *    *    *    * |   0   2    2   0    0    0    0   0   0 |  0  1   2   1  0  0
x3o . *b3o3o . .    5 |   10    0 |   10    0    0 |    0    5     0    0    0 |   *    * 2688    *    *    *    * |   1   0    0   1    1    0    0   0   0 |  1  1   0   0  1  0
x3o . *b3o . . x    8 |   12    4 |    8    6    0 |    0    2     4    0    0 |   *    *    * 6720    *    *    * |   0   1    0   0    1    1    0   0   0 |  0  1   1   0  1  0
x3o .    . . o3x    9 |    9    9 |    3    9    3 |    0    0     3    3    0 |   *    *    *    * 8960    *    * |   0   0    1   0    0    1    1   0   0 |  0  0   1   1  1  0
x . .    . o3o3x    8 |    4   12 |    0    6    8 |    0    0     0    4    2 |   *    *    *    *    * 3360    * |   0   0    0   0    0    0    2   1   0 |  0  0   0   1  2  0
. . .    o3o3o3x    5 |    0   10 |    0    0   10 |    0    0     0    0    5 |   *    *    *    *    *    * 1344 |   0   0    0   0    0    0    0   1   2 |  0  0   0   0  2  1
-----------------+-----+-----------+----------------+---------------------------+-----------------------------------+-----------------------------------------+--------------------
x3o3o *b3o3o . .   16 |   80    0 |  160    0    0 |   40   80     0    0    0 |  10    0   16    0    0    0    0 | 168   *    *   *    *    *    *   *   * |  1  1   0   0  0  0
x3o3o *b3o . . x   16 |   48    8 |   64   24    0 |   16   16    32    0    0 |   2    8    0    8    0    0    0 |   * 840    *   *    *    *    *   *   * |  0  1   1   0  0  0
x3o3o    . . o3x   12 |   18   12 |   12   18    4 |    3    0    12    6    0 |   0    3    0    0    4    0    0 |   *   * 2240   *    *    *    *   *   * |  0  0   1   1  0  0
x3o . *b3o3o3o .    6 |   15    0 |   20    0    0 |    0   15     0    0    0 |   0    0    6    0    0    0    0 |   *   *    * 448    *    *    *   *   * |  1  0   0   0  1  0
x3o . *b3o3o . x   10 |   20    5 |   20   10    0 |    0   10    10    0    0 |   0    0    2    5    0    0    0 |   *   *    *   * 1344    *    *   *   * |  0  1   0   0  1  0
x3o . *b3o . o3x   12 |   18   12 |   12   18    4 |    0    3    12    6    0 |   0    0    0    3    4    0    0 |   *   *    *   *    * 2240    *   *   * |  0  0   1   0  1  0
x3o .    . o3o3x   12 |   12   18 |    4   18   12 |    0    0     6   12    3 |   0    0    0    0    4    3    0 |   *   *    *   *    *    * 2240   *   * |  0  0   0   1  1  0
x . .    o3o3o3x   10 |    5   20 |    0   10   20 |    0    0     0   10   10 |   0    0    0    0    0    5    2 |   *   *    *   *    *    *    * 672   * |  0  0   0   0  2  0
. o . *b3o3o3o3x    6 |    0   15 |    0    0   20 |    0    0     0    0   15 |   0    0    0    0    0    0    6 |   *   *    *   *    *    *    *   * 448 |  0  0   0   0  1  1
-----------------+-----+-----------+----------------+---------------------------+-----------------------------------+-----------------------------------------+--------------------
x3o3o *b3o3o3o .   32 |  240    0 |  640    0    0 |  160  480     0    0    0 |  60    0  192    0    0    0    0 |  12   0    0  32    0    0    0   0   0 | 14  *   *   *  *  *
x3o3o *b3o3o . x   32 |  160   16 |  320   80    0 |   80  160   160    0    0 |  20   40   32   80    0    0    0 |   2  10    0   0   16    0    0   0   0 |  * 84   *   *  *  *
x3o3o *b3o . o3x   24 |   72   24 |   96   72    8 |   24   24    96   24    0 |   3   24    0   24   32    0    0 |   0   3    8   0    0    8    0   0   0 |  *  * 280   *  *  *
x3o3o    . o3o3x   16 |   24   24 |   16   36   16 |    4    0    24   24    4 |   0    6    0    0   16    6    0 |   0   0    4   0    0    0    4   0   0 |  *  *   * 560  *  *
x3o . *b3o3o3o3x   42 |  105  105 |  140  210  140 |    0  105   210  210  105 |   0    0   42  105  140  105   42 |   0   0    0   7   21   35   35  21   7 |  *  *   *   * 64  *
. o3o *b3o3o3o3x    7 |    0   21 |    0    0   35 |    0    0     0    0   35 |   0    0    0    0    0    0   21 |   0   0    0   0    0    0    0   0   7 |  *  *   *   *  * 64

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