Acronym quiten
Name quasitruncated enneract
Circumradius sqrt[25-16 sqrt(2)]/2 = 0.770160
Inradius
wrt. ene
(9-8 sqrt(2))/6 = -0.385618
Inradius
wrt. queto
[sqrt(2)-1]/2 = 0.207107
Dihedral angles
(at margins)
Confer
analogs:
quasitruncated hypercube qtCn  

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

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


Incidence matrix according to Dynkin symbol

o3o3o3o3o3o3o3x4/3x

. . . . . . . .   . | 4608 |     8    1 |    28    8 |    56   28 |    70   56 |    56   70 |    28  56 |    8  28 |   1  8
--------------------+------+------------+------------+------------+------------+------------+-----------+----------+-------
. . . . . . . x   . |    2 | 18432    * |     7    1 |    21    7 |    35   21 |    35   35 |    21  35 |    7  21 |   1  7
. . . . . . . .   x |    2 |     * 2304      0    8 |     0   28 |     0   56 |     0   70 |     0  56 |    0  28 |   0  8
--------------------+------+------------+------------+------------+------------+------------+-----------+----------+-------
. . . . . . o3x   . |    3 |     3    0 | 43008    * |     6    1 |    15    6 |    20   15 |    15  20 |    6  15 |   1  6
. . . . . . . x4/3x |    8 |     4    4 |     * 4608      0    7 |     0   21 |     0   35 |     0  35 |    0  21 |   0  7
--------------------+------+------------+------------+------------+------------+------------+-----------+----------+-------
. . . . . o3o3x   .     4 |     6    0 |     4    0 | 64512    * |     5    1 |    10    5 |    10  10 |    5  10 |   1  5
. . . . . . o3x4/3x    24 |    24   12 |     8    6 |     * 5376      0    6 |     0   15 |     0  20 |    0  15 |   0  6
--------------------+------+------------+------------+------------+------------+------------+-----------+----------+-------
. . . . o3o3o3x   .     5 |    10    0 |    10    0 |     5    0 | 64512    * |     4    1 |     6   4 |    4   6 |   1  4
. . . . . o3o3x4/3x    64 |    96   32 |    64   24 |    16    8 |     * 4032      0    5 |     0  10 |    0  10 |   0  5
--------------------+------+------------+------------+------------+------------+------------+-----------+----------+-------
. . . o3o3o3o3x   .     6 |    15    0 |    20    0 |    15    0 |     6    0 | 43008    * |     3   1 |    3   3 |   1  3
. . . . o3o3o3x4/3x   160 |   320   80 |   320   80 |   160   40 |    32   10 |     * 2016      0   4 |    0   6 |   0  4
--------------------+------+------------+------------+------------+------------+------------+-----------+----------+-------
. . o3o3o3o3o3x   .     7 |    21    0 |    35    0 |    35    0 |    21    0 |     7    0 | 18432   * |    2   1 |   1  2
. . . o3o3o3o3x4/3x   384 |   960  192 |  1280  240 |   960  160 |   384   60 |    64   12 |     * 672 |    0   3 |   0  3
--------------------+------+------------+------------+------------+------------+------------+-----------+----------+-------
. o3o3o3o3o3o3x   .     8 |    28    0 |    56    0 |    70    0 |    56    0 |    28    0 |     8   0 | 4608   * |   1  1
. . o3o3o3o3o3x4/3x   896 |  2688  448 |  4480  672 |  4480  560 |  2688  280 |   896   84 |   128  14 |    * 144 |   0  2
--------------------+------+------------+------------+------------+------------+------------+-----------+----------+-------
o3o3o3o3o3o3o3x   .     9 |    36    0 |    84    0 |   126    0 |   126    0 |    84    0 |    36   0 |    9   0 | 512  *
. o3o3o3o3o3o3x4/3x  2048 |  7168 1024 | 14336 1792 | 17920 1792 | 14336 1120 |  7168  448 |  2048 112 |  256  16 |   * 18

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