Acronym tocto
Name truncated octeract
Circumradius sqrt[(11+7 sqrt(2))/2] = 3.232607
Inradius
wrt. oca
(7+4 sqrt(2))/4 = 3.164214
Inradius
wrt. tasa
[1+sqrt(2)]/2 = 1.207107
Dihedral angles
(at margins)
  • at hop between oca and tasa:   arccos[-1/sqrt(8)] = 110.704811°
  • at tox between tasa and tasa:   90°
Confer
analogs:
truncated hypercube tCn  

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


Incidence matrix according to Dynkin symbol

o3o3o3o3o3o3x4x

. . . . . . . . | 2048 |    7    1 |    21    7 |    35   21 |    35   35 |   21  35 |    7  21 |   1  7
----------------+------+-----------+------------+------------+------------+----------+----------+-------
. . . . . . x . |    2 | 7168    * |     6    1 |    15    6 |    20   15 |   15  20 |    6  15 |   1  6
. . . . . . . x |    2 |    * 1024      0    7 |     0   21 |     0   35 |    0  35 |    0  21 |   0  7
----------------+------+-----------+------------+------------+------------+----------+----------+-------
. . . . . o3x . |    3 |    3    0 | 14336    * |     5    1 |    10    5 |   10  10 |    5  10 |   1  5
. . . . . . x4x |    8 |    4    4 |     * 1792      0    6 |     0   15 |    0  20 |    0  15 |   0  6
----------------+------+-----------+------------+------------+------------+----------+----------+-------
. . . . o3o3x .     4 |    6    0 |     4    0 | 17920    * |     4    1 |    6   4 |    4   6 |   1  4
. . . . . o3x4x    24 |   24   12 |     8    6 |     * 1792      0    5 |    0  10 |    0  10 |   0  5
----------------+------+-----------+------------+------------+------------+----------+----------+-------
. . . o3o3o3x .     5 |   10    0 |    10    0 |     5    0 | 14336    * |    3   1 |    3   3 |   1  3
. . . . o3o3x4x    64 |   96   32 |    64   24 |    16    8 |     * 1120     0   4 |    0   6 |   0  4
----------------+------+-----------+------------+------------+------------+----------+----------+-------
. . o3o3o3o3x .     6 |   15    0 |    20    0 |    15    0 |     6    0 | 7168   * |    2   1 |   1  2
. . . o3o3o3x4x   160 |  320   80 |   320   80 |   160   40 |    32   10 |    * 448 |    0   3 |   0  3
----------------+------+-----------+------------+------------+------------+----------+----------+-------
. o3o3o3o3o3x .     7 |   21    0 |    35    0 |    35    0 |    21    0 |    7   0 | 2048   * |   1  1
. . o3o3o3o3x4x   384 |  960  192 |  1280  240 |   960  160 |   384   60 |   64  12 |    * 112 |   0  2
----------------+------+-----------+------------+------------+------------+----------+----------+-------
o3o3o3o3o3o3x .     8 |   28    0 |    56    0 |    70    0 |    56    0 |   28   0 |    8   0 | 256  *
. o3o3o3o3o3x4x   896 | 2688  448 |  4480  672 |  4480  560 |  2688  280 |  896  84 |  128  14 |   * 16

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