Acronym ten
Name truncated enneract
Circumradius sqrt[25+16 sqrt(2)]/2 = 3.450631
Inradius
wrt. ene
(9+8 sqrt(2))/6 = 3.385618
Inradius
wrt. tocto
[1+sqrt(2)]/2 = 1.207107
Dihedral angles
(at margins)
Confer
analogs:
truncated hypercube tCn  

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


Incidence matrix according to Dynkin symbol

o3o3o3o3o3o3o3x4x

. . . . . . . . . | 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
. . . . . . . x4x |    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
. . . . . . o3x4x    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
. . . . . o3o3x4x    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
. . . . o3o3o3x4x   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
. . . o3o3o3o3x4x   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
. . o3o3o3o3o3x4x   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  *
. o3o3o3o3o3o3x4x  2048 |  7168 1024 | 14336 1792 | 17920 1792 | 14336 1120 |  7168  448 |  2048 112 |  256  16 |   * 18

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