Acronym quitasa
Name quasitruncated hepteract
Circumradius sqrt[19-12 sqrt(2)]/2 = 0.712292
Inradius
wrt. hop
(7-6 sqrt(2))/sqrt(28) = -0.280692
Inradius
wrt. quotox
[sqrt(2)-1]/2 = 0.207107
Dihedral angles
(at margins)
Confer
analogs:
quasitruncated hypercube qtCn  

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

Note that the tets, pens, hixes, and hops become retrograde here.


Incidence matrix according to Dynkin symbol

o3o3o3o3o3x4/3x

. . . . . .   . | 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
. . . . . x4/3x |   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
. . . . o3x4/3x   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
. . . o3o3x4/3x   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
. . o3o3o3x4/3x  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  *
. o3o3o3o3x4/3x  384 |  960 192 | 1280 240 |  960 160 |  384  60 |  64 12 |   * 14

© 2004-2022
top of page