Acronym quil
Name pentacosiheptacontihexa-pentacontihexa-exon,
vertex figure of yab
Circumradius sqrt(3)/2 = 0.866025
Coordinates
  • (sqrt(2); 2, 0, 0, 0, 0, 0)/sqrt(8)       & all permutations in all but first coord, all changes of sign
    (2 × 12 vertices: top and bottom gee)
  • (0; 1, 1, 1, 1, 1, 1)/sqrt(8)               & all permutations and all even changes of sign in all but first coord
    (32 vertices: equatorial hax)
Colonel of regiment naq

Incidence matrix

  56   27 |  216 |   720 |  1080 |  432 135 |  72 27
-----+-----+------+-------+-------+----------+-------
   2 | 756    16 |    80 |   160 |   80  40 |  16 16
-----+-----+------+-------+-------+----------+-------
   3 |   3 | 4032     10 |    30 |   20  15 |   5 10
-----+-----+------+-------+-------+----------+-------
  4 |   6 |    4 | 10080 |     6 |    6   6 |   2  6
-----+-----+------+-------+-------+----------+-------
  5 |  10 |   10 |     5 | 12096 |    2   2 |   1  3
-----+-----+------+-------+-------+----------+-------
  6 |  15 |   20 |    15 |     6 | 4032   * |   1  1
 10 |  40 |   80 |    80 |    32 |    * 756 |   0  2
-----+-----+------+-------+-------+----------+-------
  7 |  21 |   35 |    35 |    21 |    7   0 | 576  *
 27 | 216 |  720 |  1080 |   648 |   72  27 |   * 56

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