Acronym firl
Name facetorectified heptapeton
Circumradius sqrt(5/7) = 0.845154
Inradius
wrt. hix
5/sqrt(84) = 0.545545
Inradius
wrt. penp
-3/sqrt(140) = -0.253546
Inradius
wrt. tratet
1/sqrt(168) = 0.077152
Volume sqrt(7)/576 = 0.0045933
Surface [7 sqrt(3)+105 sqrt(5)+350 sqrt(6)]/480 = 2.300485
General of army ril
Colonel of regiment ril
Confer
Grünbaumian relatives:
2firl  
general polytopal classes:
non-orientable  
analogs:
facetorectified simplex frSn  

Incidence matrix according to Dynkin symbol

  21 |  10 |  20  20 |  20  60 | 10  40 30 | 2 10 20
-----+-----+---------+---------+-----------+--------
   2 | 105 |   4   4 |   6  18 |  4  16 12 | 1  5 10
-----+-----+---------+---------+-----------+--------
   3 |   3 | 140   * |   3   3 |  3   6  3 | 1  3  4
   4 |   4 |   * 105 |   0   6 |  0   6  6 | 0  2  6
-----+-----+---------+---------+-----------+--------
  4 |   6 |   4   0 | 105   * |  2   2  0 | 1  2  1
  6 |   9 |   2   3 |   * 210 |  0   2  2 | 0  1  3
-----+-----+---------+---------+-----------+--------
  5 |  10 |  10   0 |   5   0 | 42   *  * | 1  1  0
  8 |  16 |   8   6 |   2   4 |  * 105  * | 0  1  1
  9 |  18 |   6   9 |   0   6 |  *   * 70 | 0  0  2
-----+-----+---------+---------+-----------+--------
  6 |  15 |  20   0 |  15   0 |  6   0  0 | 7  *  *
 10 |  25 |  20  10 |  10  10 |  2   5  0 | * 21  *
 12 |  30 |  16  18 |   3  18 |  0   3  4 | *  * 35

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