| 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 | |
| Face vector | 448, 2688, 6720, 8960, 6720, 2688, 448 |
| Confer |
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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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