Acronym kaje
Name heptacontidiaicosiheptapeton,
vertex figure of quil
Circumradius sqrt(2/3) = 0.816497
Coordinates
  • (0, 0, 0, 0, 0; sqrt(2/3))
  • (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8); 1/sqrt(24))    & all even changes of sign in one but last coord.
  • (1/sqrt(2), 0, 0, 0, 0; -1/sqrt(6))                                                  & all permutations and all changes of sign in one but last coord.
Colonel of regiment jak
Face vector 27, 216, 720, 1080, 567, 99
Confer 2kaje  
External
links
hedrondude   polytopewiki  

Incidence matrix

  27   16 |  80 |  160 |  80  40 | 16 16
-----+-----+-----+------+---------+------
   2 | 216   10 |   30 |  20  15 |  5 10
-----+-----+-----+------+---------+------
   3 |   3 | 720 |    6 |   6   6 |  2  6
-----+-----+-----+------+---------+------
  4 |   6 |   4 | 1080 |   2   2 |  1  3
-----+-----+-----+------+---------+------
  5 |  10 |  10 |    5 | 432   * |  1  1
  8 |  24 |  32 |   16 |   * 135 |  0  2
-----+-----+-----+------+---------+------
  6 |  15 |  20 |   15 |   6   0 | 72  *
 16 |  80 | 160 |  120 |  16  10 |  * 27

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