Acronym	hejak
Name	demified icosiheptaheptacontidipeton
Circumradius	sqrt(8/3) = 1.632993
Inradius wrt. hix	3/2 = 1.5
Inradius wrt. hin	7/sqrt(24) = 1.428869
Inradius wrt. penp	11/sqrt(60) = 1.420094
Inradius wrt. siphin	5/sqrt(24) = 1.020621
Lace city in approx. ASCII-art	o n -- x3o3o *b3o3o (hin) e" ON e" -- x3o3x *b3o3o (rin) o" n' o' n" -- x3o3o *b3x3o (sirhin) e NE e' OE e -- o3o3o *b3x3x (tot) + u3o3o *b3o3o (u-hin) n o" n" o -- x3o3o *b3o3x (siphin) where: n = x3o3o *b3o, o = o3o3x *b3o, e = o3o3o *b3x (hex) N = u3o3o *b3o, O = o3o3u *b3o, E = o3o3o *b3u (u-hex) n' = x3x3o *b3o, o' = o3x3x *b3o, e' = o3x3o *b3x (thex) n" = o3o3x *b3x, o" = x3o3o *b3x, e" = x3o3x *b3o (rit)
Volume	1271 sqrt(3)/80 = 27.517957
Face vector	432, 3240, 7920, 7200, 2430, 342
Confer	related segmentopeta: hinarin   thexgyt   general polytopal classes: Wythoffian polypeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

x3o3o3o3o *c3x

. . . . .    . | 432 |    5   10 |   10   20   30 |   10  10   30   10   20 |   5  10   20   5   5 |  1  5   5  1
---------------+-----+-----------+----------------+-------------------------+----------------------+-------------
x . . . .    . |   2 | 1080    * |    4    4    0 |    6   4    6    0    0 |   4   6    4   0   0 |  1  4   1  0
. . . . .    x |   2 |    * 2160 |    0    2    6 |    0   1    6    3    6 |   0   3    6   3   2 |  0  3   2  1
---------------+-----+-----------+----------------+-------------------------+----------------------+-------------
x3o . . .    . |   3 |    3    0 | 1440    *    * |    3   1    0    0    0 |   3   3    0   0   0 |  1  3   0  0
x . . . .    x |   4 |    2    2 |    * 2160    * |    0   1    3    0    0 |   0   3    3   0   0 |  0  3   1  0
. . o . . *c3x |   3 |    0    3 |    *    * 4320 |    0   0    1    1    2 |   0   1    2   2   1 |  0  2   1  1
---------------+-----+-----------+----------------+-------------------------+----------------------+-------------
x3o3o . .    . ♦   4 |    6    0 |    4    0    0 | 1080   *    *    *    * |   2   1    0   0   0 |  1  2   0  0
x3o . . .    x ♦   6 |    6    3 |    2    3    0 |    * 720    *    *    * |   0   3    0   0   0 |  0  3   0  0
x . o . . *c3x ♦   6 |    3    6 |    0    3    2 |    *   * 2160    *    * |   0   1    2   0   0 |  0  2   1  0
. o3o . . *c3x ♦   4 |    0    6 |    0    0    4 |    *   *    * 1080    * |   0   1    0   2   0 |  0  2   0  1
. . o3o . *c3x ♦   4 |    0    6 |    0    0    4 |    *   *    *    * 2160 |   0   0    1   1   1 |  0  1   1  1
---------------+-----+-----------+----------------+-------------------------+----------------------+-------------
x3o3o3o .    . ♦   5 |   10    0 |   10    0    0 |    5   0    0    0    0 | 432   *    *   *   * |  1  1   0  0
x3o3o . . *c3x ♦  20 |   30   30 |   20   30   20 |    5  10   10    5    0 |   * 216    *   *   * |  0  2   0  0
x . o3o . *c3x ♦   8 |    4   12 |    0    6    8 |    0   0    4    0    2 |   *   * 1080   *   * |  0  1   1  0
. o3o3o . *c3x ♦   8 |    0   24 |    0    0   32 |    0   0    0    8    8 |   *   *    * 270   * |  0  1   0  1
. . o3o3o *c3x ♦   5 |    0   10 |    0    0   10 |    0   0    0    0    5 |   *   *    *   * 432 |  0  0   1  1
---------------+-----+-----------+----------------+-------------------------+----------------------+-------------
x3o3o3o3o    . ♦   6 |   15    0 |   20    0    0 |   15   0    0    0    0 |   6   0    0   0   0 | 72  *   *  *
x3o3o3o . *c3x ♦  80 |  160  240 |  160  240  320 |   80  80  160   80   80 |  16  16   40  10   0 |  * 27   *  *
x . o3o3o *c3x ♦  10 |    5   20 |    0   10   20 |    0   0   10    0   10 |   0   0    5   0   2 |  *  * 216  *
. o3o3o3o *c3x ♦  16 |    0   80 |    0    0  160 |    0   0    0   40   80 |   0   0    0  10  16 |  *  *   * 27