nal

Acronym	nal
Name	hecatonicosihexa-pentacontihexa-exon, vertex figure of fib
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
Face vector	56, 756, 4032, 10080, 12096, 6804, 182

Incidence matrix

  56 ♦  27 |  216 |   720 |  1080 |  216  432 135 |  27 27
-----+-----+------+-------+-------+---------------+-------
   2 | 756 ♦   16 |    80 |   160 |   40   80  40 |  10 16
-----+-----+------+-------+-------+---------------+-------
   3 |   3 | 4032 ♦    10 |    30 |   10   20  15 |   5 10
-----+-----+------+-------+-------+---------------+-------
♦  4 |   6 |    4 | 10080 |     6 |    3    6   6 |   3  6
-----+-----+------+-------+-------+---------------+-------
♦  5 |  10 |   10 |     5 | 12096 |    1    2   2 |   2  3
-----+-----+------+-------+-------+---------------+-------
♦  6 |  15 |   20 |    15 |     6 | 2016    *   * |   2  0
♦  6 |  15 |   20 |    15 |     6 |    * 4032   * |   1  1
♦ 10 |  40 |   80 |    80 |    32 |    *    * 756 |   0  2
-----+-----+------+-------+-------+---------------+-------
♦ 12 |  60 |  160 |   240 |   192 |   32   32   0 | 126  *
♦ 27 | 216 |  720 |  1080 |   648 |    0   72  27 |   * 56

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