Acronym tasa
Name truncated hepteract
Circumradius sqrt[19+12 sqrt(2)]/2 = 2.998773
Inradius
wrt. hop
(7+6 sqrt(2))/sqrt(28) = 2.926443
Inradius
wrt. tox
[1+sqrt(2)]/2 = 1.207107
Dihedral angles
(at margins)
  • at hix between hop and tox:   arccos[-1/sqrt(7)] = 112.207654°
  • at tan between tox and tox:   90°
Confer
analogs:
truncated hypercube tCn  
External
links
wikipedia  

As abstract polytope tasa is isomorphic to quitasa, replacing thereby octagons by octagrams, resp. tic by quith, resp. tat by quitit, resp. tan by quittin, resp. tox by quotox.


Incidence matrix according to Dynkin symbol

o3o3o3o3o3x4x

. . . . . . . | 896 |    6   1 |   15   6 |   20  15 |   15  20 |   6 15 |   1  6
--------------+-----+----------+----------+----------+----------+--------+-------
. . . . . x . |   2 | 2688   * |    5   1 |   10   5 |   10  10 |   5 10 |   1  5
. . . . . . x |   2 |    * 448     0   6 |    0  15 |    0  20 |   0 15 |   0  6
--------------+-----+----------+----------+----------+----------+--------+-------
. . . . o3x . |   3 |    3   0 | 4480   * |    4   1 |    6   4 |   4  6 |   1  4
. . . . . x4x |   8 |    4   4 |    * 672     0   5 |    0  10 |   0 10 |   0  5
--------------+-----+----------+----------+----------+----------+--------+-------
. . . o3o3x .    4 |    6   0 |    4   0 | 4480   * |    3   1 |   3  3 |   1  3
. . . . o3x4x   24 |   24  12 |    8   6 |    * 560     0   4 |   0  6 |   0  4
--------------+-----+----------+----------+----------+----------+--------+-------
. . o3o3o3x .    5 |   10   0 |   10   0 |    5   0 | 2688   * |   2  1 |   1  2
. . . o3o3x4x   64 |   96  32 |   64  24 |   16   8 |    * 280 |   0  3 |   0  3
--------------+-----+----------+----------+----------+----------+--------+-------
. o3o3o3o3x .    6 |   15   0 |   20   0 |   15   0 |    6   0 | 896  * |   1  1
. . o3o3o3x4x  160 |  320  80 |  320  80 |  160  40 |   32  10 |   * 84 |   0  2
--------------+-----+----------+----------+----------+----------+--------+-------
o3o3o3o3o3x .    7 |   21   0 |   35   0 |   35   0 |   21   0 |   7  0 | 128  *
. o3o3o3o3x4x  384 |  960 192 | 1280 240 |  960 160 |  384  60 |  64 12 |   * 14

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