Acronym froc
Name facetorectified octaexon
Circumradius sqrt(3)/2 = 0.866025
Inradius
wrt. hop
3/sqrt(28) = 0.566947
Inradius
wrt. hixip
1/sqrt(12) = 0.288675
Inradius
wrt. trapen
1/sqrt(60) = 0.129099
Inradius
wrt. tetdip
0
General of army roc
Colonel of regiment roc
Face vector 28, 168, 490, 840, 868, 504, 127
Confer
general polytopal classes:
non-orientable  
analogs:
facetorectified simplex frSn  

Incidence matrix

hemi( x3o3o3o3o3o3/2x )

28 |  12 |  30  30 |  40 120 |  30 120  90 | 12  60 120 | 2 12 30 20
---+-----+---------+---------+-------------+------------+-----------
 2 | 168 |   5   5 |  10  30 |  10  40  30 |  5  25  50 | 1  6 15 10
---+-----+---------+---------+-------------+------------+-----------
 3 |   3 | 280   * |   4   4 |   6  12   6 |  4  12  16 | 1  4  7  4
 4 |   4 |   * 210 |   0   8 |   0  12  12 |  0   8  24 | 0  2  8  6
---+-----+---------+---------+-------------+------------+-----------
 4 |   6 |   4   0 | 280   * |   3   3   0 |  3   6   3 | 1  3  3  1  tet
 6 |   9 |   2   3 |   * 560 |   0   3   3 |  0   3   9 | 0  1  4  3  trip
---+-----+---------+---------+-------------+------------+-----------
 5 |  10 |  10   0 |   5   0 | 168   *   * |  2   2   0 | 1  2  1  0  pen
 8 |  16 |   8   6 |   2   4 |   * 420   * |  0   2   2 | 0  1  2  1  tepe
 9 |  18 |   6   9 |   0   6 |   *   * 280 |  0   0   4 | 0  0  2  2  triddip
---+-----+---------+---------+-------------+------------+-----------
 6 |  15 |  20   0 |  15   0 |   6   0   0 | 56   *   * | 1  1  0  0  hix
10 |  25 |  20  10 |  10  10 |   2   5   0 |  * 168   * | 0  1  1  0  penp
12 |  30 |  16  18 |   3  18 |   0   3   4 |  *   * 280 | 0  0  1  1  tratet
---+-----+---------+---------+-------------+------------+-----------
 7 |  21 |  35   0 |  35   0 |  21   0   0 |  7   0   0 | 8  *  *  *  hop
12 |  36 |  40  15 |  30  20 |  12  15   0 |  2   6   0 | * 28  *  *  hixip
15 |  45 |  35  30 |  15  40 |   3  15  10 |  0   3   5 | *  * 56  *  trapen
16 |  48 |  32  36 |   8  48 |   0  12  16 |  0   0   8 | *  *  * 35  tetdip

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