Acronym frasa
Name facetorectified hepteract
Circumradius sqrt(3) = 1.732051
Inradius
wrt. hop
+/− sqrt(18/7) = 1.603567
Inradius
wrt. til
−/+ sqrt(8/7) = 1.069045
Inradius
wrt. batal
+/− sqrt(2/7) = 0.534522
Inradius
wrt. fe
0
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
Volume 0
Surface 512 sqrt(7) = 1354.624671
General of army rasa
Colonel of regiment rasa
Dihedral angles
  • at bittix between batal and fe:   arccos(5/7) = 44.415309°
  • at hix between hop and til:   arccos(5/7) = 44.415309°
  • at tix between batal and til:   arccos(5/7) = 44.415309°
Confer
analogs:
facetorectified hypercube frCn  

This polyexon could also be understood as a modwrap of cytloh.

Frasa has forxs for pseudo facets.


Incidence matrix according to Dynkin symbol

x3x3o3o3o3o3o3/2*a

. . . . . . .      | 448 |    6    6 |   30   15   15 |   60   60   20   20 |   60   90   60   15   15 |  30  60  60  30   6   6 |  6 15 20 15  6  1  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x . . . . . .      |   2 | 1344    * |    5    5    0 |   10   20   10    0 |   10   30   30   10    0 |   5  20  30  20   5   0 |  1  5 10 10  5  1  0
. x . . . . .      |   2 |    * 1344 |    5    0    5 |   20   10    0   10 |   30   30   10    0   10 |  20  30  20   5   0   5 |  5 10 10  5  1  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x . . . . .      |   6 |    3    3 | 2240    *    * |    4    4    0    0 |    6   12    6    0    0 |   4  12  12   4   0   0 |  1  4  6  4  1  0  0
x . . . . . o3/2*a |   3 |    3    0 |    * 2240    * |    0    4    4    0 |    0    6   12    6    0 |   0   4  12  12   4   0 |  0  1  4  6  4  1  0
. x3o . . . .      |   3 |    0    3 |    *    * 2240 |    4    0    0    4 |   12    6    0    0    6 |  12  12   4   0   0   4 |  4  6  4  1  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o . . . .        12 |    6   12 |    4    0    4 | 2240    *    *    * |    3    3    0    0    0 |   3   6   3   0   0   0 |  1  3  3  1  0  0  0
x3x . . . . o3/2*a   12 |   12    6 |    4    4    0 |    * 2240    *    * |    0    3    3    0    0 |   0   3   6   3   0   0 |  0  1  3  3  1  0  0
x . . . . o3o3/2*a    4 |    6    0 |    0    4    0 |    *    * 2240    * |    0    0    3    3    0 |   0   0   3   6   3   0 |  0  0  1  3  3  1  0
. x3o3o . . .         4 |    0    6 |    0    0    4 |    *    *    * 2240 |    3    0    0    0    3 |   6   3   0   0   0   3 |  3  3  1  0  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o3o . . .        20 |   10   30 |   10    0   20 |    5    0    0    5 | 1344    *    *    *    * |   2   2   0   0   0   0 |  1  2  1  0  0  0  0
x3x3o . . . o3/2*a   30 |   30   30 |   20   10   10 |    5    5    0    0 |    * 1344    *    *    * |   0   2   2   0   0   0 |  0  1  2  1  0  0  0
x3x . . . o3o3/2*a   20 |   30   10 |   10   20    0 |    0    5    5    0 |    *    * 1344    *    * |   0   0   2   2   0   0 |  0  0  1  2  1  0  0
x . . . o3o3o3/2*a    5 |   10    0 |    0   10    0 |    0    0    5    0 |    *    *    * 1344    * |   0   0   0   2   2   0 |  0  0  0  1  2  1  0
. x3o3o3o . .         5 |    0   10 |    0    0   10 |    0    0    0    5 |    *    *    *    * 1344 |   2   0   0   0   0   2 |  2  1  0  0  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o3o3o . .        30 |   15   60 |   20    0   60 |   15    0    0   30 |    6    0    0    0    6 | 448   *   *   *   *   * |  1  1  0  0  0  0  0
x3x3o3o . . o3/2*a   60 |   60   90 |   60   20   60 |   30   15    0   15 |    6    6    0    0    0 |   * 448   *   *   *   * |  0  1  1  0  0  0  0
x3x3o . . o3o3/2*a   60 |   90   60 |   60   60   20 |   15   30   15    0 |    0    6    6    0    0 |   *   * 448   *   *   * |  0  0  1  1  0  0  0
x3x . . o3o3o3/2*a   30 |   60   15 |   20   60    0 |    0   15   30    0 |    0    0    6    6    0 |   *   *   * 448   *   * |  0  0  0  1  1  0  0
x . . o3o3o3o3/2*a    6 |   15    0 |    0   20    0 |    0    0   15    0 |    0    0    0    6    0 |   *   *   *   * 448   * |  0  0  0  0  1  1  0
. x3o3o3o3o .         6 |    0   15 |    0    0   20 |    0    0    0   15 |    0    0    0    0    6 |   *   *   *   *   * 448 |  1  0  0  0  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o3o3o3o .        42 |   21  105 |   35    0  140 |   35    0    0  105 |   21    0    0    0   42 |   7   0   0   0   0   7 | 64  *  *  *  *  *  *
x3x3o3o3o . o3/2*a  105 |  105  210 |  140   35  210 |  105   35    0  105 |   42   21    0    0   21 |   7   7   0   0   0   0 |  * 64  *  *  *  *  *
x3x3o3o . o3o3/2*a  140 |  210  210 |  210  140  140 |  105  105   35   35 |   21   42   21    0    0 |   0   7   7   0   0   0 |  *  * 64  *  *  *  *
x3x3o . o3o3o3/2*a  105 |  210  105 |  140  210   35 |   35  105  105    0 |    0   21   42   21    0 |   0   0   7   7   0   0 |  *  *  * 64  *  *  *
x3x . o3o3o3o3/2*a   42 |  105   21 |   35  140    0 |    0   35  105    0 |    0    0   21   42    0 |   0   0   0   7   7   0 |  *  *  *  * 64  *  *
x . o3o3o3o3o3/2*a    7 |   21    0 |    0   35    0 |    0    0   35    0 |    0    0    0   21    0 |   0   0   0   0   7   0 |  *  *  *  *  * 64  *
. x3o3o3o3o3o         7 |    0   21 |    0    0   35 |    0    0    0   35 |    0    0    0    0   21 |   0   0   0   0   0   7 |  *  *  *  *  *  * 64
or
. . . . . . .        | 448 |   12 |   30   30 |  120   40 |  120   90   30 |  60 120  12 |  12  30 20   2
---------------------+-----+------+-----------+-----------+----------------+-------------+---------------
x . . . . . .      & |   2 | 2688 |    5    5 |   30   10 |   40   30   10 |  25  50   5 |   6  15 10   1
---------------------+-----+------+-----------+-----------+----------------+-------------+---------------
x3x . . . . .        |   6 |    6 | 2240    * |    8    0 |   12   12    0 |   8  24   0 |   2   8  6   0
x . . . . . o3/2*a & |   3 |    3 |    * 4480 |    4    4 |   12    6    6 |  12  16   4 |   4   7  4   1
---------------------+-----+------+-----------+-----------+----------------+-------------+---------------
x3x3o . . . .      &   12 |   18 |    4    4 | 4480    * |    3    3    0 |   3   9   0 |   1   4  3   0
x . . . . o3o3/2*a &    4 |    6 |    0    4 |    * 4480 |    3    0    3 |   6   3   3 |   3   3  1   1
---------------------+-----+------+-----------+-----------+----------------+-------------+---------------
x3x3o3o . . .      &   20 |   40 |   10   20 |    5    5 | 2688    *    * |   2   2   0 |   1   2  1   0
x3x3o . . . o3/2*a     30 |   60 |   20   20 |   10    0 |    * 1344    * |   0   4   0 |   0   2  2   0
x . . . o3o3o3/2*a &    5 |   10 |    0   10 |    0    5 |    *    * 2688 |   2   0   2 |   2   1  0   1
---------------------+-----+------+-----------+-----------+----------------+-------------+---------------
x3x3o3o3o . .      &   30 |   75 |   20   60 |   15   30 |    6    0    6 | 896   *   * |   1   1  0   0
x3x3o3o . . o3/2*a &   60 |  150 |   60   80 |   45   15 |    6    6    0 |   * 896   * |   0   1  1   0
x . . o3o3o3o3/2*a &    6 |   15 |    0   20 |    0   15 |    0    0    6 |   *   * 896 |   1   0  0   1
---------------------+-----+------+-----------+-----------+----------------+-------------+---------------
x3x3o3o3o3o .      &   42 |  126 |   35  140 |   35  105 |   21    0   42 |   7   0   7 | 128   *  *   *
x3x3o3o3o . o3/2*a &  105 |  315 |  140  245 |  140  105 |   42   21   21 |   7   7   0 |   * 128  *   *
x3x3o3o . o3o3/2*a    140 |  420 |  210  280 |  210   70 |   42   42    0 |   0  14   0 |   *   * 64   *
x . o3o3o3o3o3/2*a &    7 |   21 |    0   35 |    0   35 |    0    0   21 |   0   0   7 |   *   *  * 128

x3x3o3o3o3o3/2o3*a

. . . . . .   .    | 448 |    6    6 |   30   15   15 |   60   60   20   20 |   60   90   60   15   15 |  30  60  60  30   6   6 |  6 15 20 15  6  1  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x . . . . .   .    |   2 | 1344    * |    5    5    0 |   10   20   10    0 |   10   30   30   10    0 |   5  20  30  20   5   0 |  1  5 10 10  5  1  0
. x . . . .   .    |   2 |    * 1344 |    5    0    5 |   20   10    0   10 |   30   30   10    0   10 |  20  30  20   5   0   5 |  5 10 10  5  1  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x . . . .   .    |   6 |    3    3 | 2240    *    * |    4    4    0    0 |    6   12    6    0    0 |   4  12  12   4   0   0 |  1  4  6  4  1  0  0
x . . . . .   o3*a |   3 |    3    0 |    * 2240    * |    0    4    4    0 |    0    6   12    6    0 |   0   4  12  12   4   0 |  0  1  4  6  4  1  0
. x3o . . .   .    |   3 |    0    3 |    *    * 2240 |    4    0    0    4 |   12    6    0    0    6 |  12  12   4   0   0   4 |  4  6  4  1  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o . . .   .      12 |    6   12 |    4    0    4 | 2240    *    *    * |    3    3    0    0    0 |   3   6   3   0   0   0 |  1  3  3  1  0  0  0
x3x . . . .   o3*a   12 |   12    6 |    4    4    0 |    * 2240    *    * |    0    3    3    0    0 |   0   3   6   3   0   0 |  0  1  3  3  1  0  0
x . . . . o3/2o3*a    4 |    6    0 |    0    4    0 |    *    * 2240    * |    0    0    3    3    0 |   0   0   3   6   3   0 |  0  0  1  3  3  1  0
. x3o3o . .   .       4 |    0    6 |    0    0    4 |    *    *    * 2240 |    3    0    0    0    3 |   6   3   0   0   0   3 |  3  3  1  0  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o3o . .   .      20 |   10   30 |   10    0   20 |    5    0    0    5 | 1344    *    *    *    * |   2   2   0   0   0   0 |  1  2  1  0  0  0  0
x3x3o . . .   o3*a   30 |   30   30 |   20   10   10 |    5    5    0    0 |    * 1344    *    *    * |   0   2   2   0   0   0 |  0  1  2  1  0  0  0
x3x . . . o3/2o3*a   20 |   30   10 |   10   20    0 |    0    5    5    0 |    *    * 1344    *    * |   0   0   2   2   0   0 |  0  0  1  2  1  0  0
x . . . o3o3/2o3*a    5 |   10    0 |    0   10    0 |    0    0    5    0 |    *    *    * 1344    * |   0   0   0   2   2   0 |  0  0  0  1  2  1  0
. x3o3o3o .   .       5 |    0   10 |    0    0   10 |    0    0    0    5 |    *    *    *    * 1344 |   2   0   0   0   0   2 |  2  1  0  0  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o3o3o .   .      30 |   15   60 |   20    0   60 |   15    0    0   30 |    6    0    0    0    6 | 448   *   *   *   *   * |  1  1  0  0  0  0  0
x3x3o3o . .   o3*a   60 |   60   90 |   60   20   60 |   30   15    0   15 |    6    6    0    0    0 |   * 448   *   *   *   * |  0  1  1  0  0  0  0
x3x3o . . o3/2o3*a   60 |   90   60 |   60   60   20 |   15   30   15    0 |    0    6    6    0    0 |   *   * 448   *   *   * |  0  0  1  1  0  0  0
x3x . . o3o3/2o3*a   30 |   60   15 |   20   60    0 |    0   15   30    0 |    0    0    6    6    0 |   *   *   * 448   *   * |  0  0  0  1  1  0  0
x . . o3o3o3/2o3*a    6 |   15    0 |    0   20    0 |    0    0   15    0 |    0    0    0    6    0 |   *   *   *   * 448   * |  0  0  0  0  1  1  0
. x3o3o3o3o   .       6 |    0   15 |    0    0   20 |    0    0    0   15 |    0    0    0    0    6 |   *   *   *   *   * 448 |  1  0  0  0  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o3o3o3o   .      42 |   21  105 |   35    0  140 |   35    0    0  105 |   21    0    0    0   42 |   7   0   0   0   0   7 | 64  *  *  *  *  *  *
x3x3o3o3o .   o3*a  105 |  105  210 |  140   35  210 |  105   35    0  105 |   42   21    0    0   21 |   7   7   0   0   0   0 |  * 64  *  *  *  *  *
x3x3o3o . o3/2o3*a  140 |  210  210 |  210  140  140 |  105  105   35   35 |   21   42   21    0    0 |   0   7   7   0   0   0 |  *  * 64  *  *  *  *
x3x3o . o3o3/2o3*a  105 |  210  105 |  140  210   35 |   35  105  105    0 |    0   21   42   21    0 |   0   0   7   7   0   0 |  *  *  * 64  *  *  *
x3x . o3o3o3/2o3*a   42 |  105   21 |   35  140    0 |    0   35  105    0 |    0    0   21   42    0 |   0   0   0   7   7   0 |  *  *  *  * 64  *  *
x . o3o3o3o3/2o3*a    7 |   21    0 |    0   35    0 |    0    0   35    0 |    0    0    0   21    0 |   0   0   0   0   7   0 |  *  *  *  *  * 64  *
. x3o3o3o3o3/2o       7 |    0   21 |    0    0   35 |    0    0    0   35 |    0    0    0    0   21 |   0   0   0   0   0   7 |  *  *  *  *  *  * 64

x3x3o3o3o3/2o3o3*a

. . . . .   . .    | 448 |    6    6 |   30   15   15 |   60   60   20   20 |   60   90   60   15   15 |  30  60  60  30   6   6 |  6 15 20 15  6  1  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x . . . .   . .    |   2 | 1344    * |    5    5    0 |   10   20   10    0 |   10   30   30   10    0 |   5  20  30  20   5   0 |  1  5 10 10  5  1  0
. x . . .   . .    |   2 |    * 1344 |    5    0    5 |   20   10    0   10 |   30   30   10    0   10 |  20  30  20   5   0   5 |  5 10 10  5  1  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x . . .   . .    |   6 |    3    3 | 2240    *    * |    4    4    0    0 |    6   12    6    0    0 |   4  12  12   4   0   0 |  1  4  6  4  1  0  0
x . . . .   . o3*a |   3 |    3    0 |    * 2240    * |    0    4    4    0 |    0    6   12    6    0 |   0   4  12  12   4   0 |  0  1  4  6  4  1  0
. x3o . .   . .    |   3 |    0    3 |    *    * 2240 |    4    0    0    4 |   12    6    0    0    6 |  12  12   4   0   0   4 |  4  6  4  1  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o . .   . .      12 |    6   12 |    4    0    4 | 2240    *    *    * |    3    3    0    0    0 |   3   6   3   0   0   0 |  1  3  3  1  0  0  0
x3x . . .   . o3*a   12 |   12    6 |    4    4    0 |    * 2240    *    * |    0    3    3    0    0 |   0   3   6   3   0   0 |  0  1  3  3  1  0  0
x . . . .   o3o3*a    4 |    6    0 |    0    4    0 |    *    * 2240    * |    0    0    3    3    0 |   0   0   3   6   3   0 |  0  0  1  3  3  1  0
. x3o3o .   . .       4 |    0    6 |    0    0    4 |    *    *    * 2240 |    3    0    0    0    3 |   6   3   0   0   0   3 |  3  3  1  0  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o3o .   . .      20 |   10   30 |   10    0   20 |    5    0    0    5 | 1344    *    *    *    * |   2   2   0   0   0   0 |  1  2  1  0  0  0  0
x3x3o . .   . o3*a   30 |   30   30 |   20   10   10 |    5    5    0    0 |    * 1344    *    *    * |   0   2   2   0   0   0 |  0  1  2  1  0  0  0
x3x . . .   o3o3*a   20 |   30   10 |   10   20    0 |    0    5    5    0 |    *    * 1344    *    * |   0   0   2   2   0   0 |  0  0  1  2  1  0  0
x . . . o3/2o3o3*a    5 |   10    0 |    0   10    0 |    0    0    5    0 |    *    *    * 1344    * |   0   0   0   2   2   0 |  0  0  0  1  2  1  0
. x3o3o3o   . .       5 |    0   10 |    0    0   10 |    0    0    0    5 |    *    *    *    * 1344 |   2   0   0   0   0   2 |  2  1  0  0  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o3o3o   . .      30 |   15   60 |   20    0   60 |   15    0    0   30 |    6    0    0    0    6 | 448   *   *   *   *   * |  1  1  0  0  0  0  0
x3x3o3o .   . o3*a   60 |   60   90 |   60   20   60 |   30   15    0   15 |    6    6    0    0    0 |   * 448   *   *   *   * |  0  1  1  0  0  0  0
x3x3o . .   o3o3*a   60 |   90   60 |   60   60   20 |   15   30   15    0 |    0    6    6    0    0 |   *   * 448   *   *   * |  0  0  1  1  0  0  0
x3x . . o3/2o3o3*a   30 |   60   15 |   20   60    0 |    0   15   30    0 |    0    0    6    6    0 |   *   *   * 448   *   * |  0  0  0  1  1  0  0
x . . o3o3/2o3o3*a    6 |   15    0 |    0   20    0 |    0    0   15    0 |    0    0    0    6    0 |   *   *   *   * 448   * |  0  0  0  0  1  1  0
. x3o3o3o3/2o .       6 |    0   15 |    0    0   20 |    0    0    0   15 |    0    0    0    0    6 |   *   *   *   *   * 448 |  1  0  0  0  0  0  1
-------------------+-----+-----------+----------------+---------------------+--------------------------+-------------------------+---------------------
x3x3o3o3o3/2o .      42 |   21  105 |   35    0  140 |   35    0    0  105 |   21    0    0    0   42 |   7   0   0   0   0   7 | 64  *  *  *  *  *  *
x3x3o3o3o   . o3*a  105 |  105  210 |  140   35  210 |  105   35    0  105 |   42   21    0    0   21 |   7   7   0   0   0   0 |  * 64  *  *  *  *  *
x3x3o3o .   o3o3*a  140 |  210  210 |  210  140  140 |  105  105   35   35 |   21   42   21    0    0 |   0   7   7   0   0   0 |  *  * 64  *  *  *  *
x3x3o . o3/2o3o3*a  105 |  210  105 |  140  210   35 |   35  105  105    0 |    0   21   42   21    0 |   0   0   7   7   0   0 |  *  *  * 64  *  *  *
x3x . o3o3/2o3o3*a   42 |  105   21 |   35  140    0 |    0   35  105    0 |    0    0   21   42    0 |   0   0   0   7   7   0 |  *  *  *  * 64  *  *
x . o3o3o3/2o3o3*a    7 |   21    0 |    0   35    0 |    0    0   35    0 |    0    0    0   21    0 |   0   0   0   0   7   0 |  *  *  *  *  * 64  *
. x3o3o3o3/2o3o       7 |    0   21 |    0    0   35 |    0    0    0   35 |    0    0    0    0   21 |   0   0   0   0   0   7 |  *  *  *  *  *  * 64

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