Acronym tox
Name truncated hexeract
Circumradius sqrt[(8+5 sqrt(2))/2] = 2.745093
Coordinates ((1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2)   & all permutations, all changes of sign
External
links
wikipedia  

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


Incidence matrix according to Dynkin symbol

o3o3o3o3x4x

. . . . . . | 384 |   5   1 |   10   5 |  10  10 |   5 10 |  1  5
------------+-----+---------+----------+---------+--------+------
. . . . x . |   2 | 960   * |    4   1 |   6   4 |   4  6 |  1  4
. . . . . x |   2 |   * 192     0   5 |   0  10 |   0 10 |  0  5
------------+-----+---------+----------+---------+--------+------
. . . o3x . |   3 |   3   0 | 1280   * |   3   1 |   3  3 |  1  3
. . . . x4x |   8 |   4   4 |    * 240    0   4 |   0  6 |  0  4
------------+-----+---------+----------+---------+--------+------
. . o3o3x .    4 |   6   0 |    4   0 | 960   * |   2  1 |  1  2
. . . o3x4x   24 |  24  12 |    8   6 |   * 160 |   0  3 |  0  3
------------+-----+---------+----------+---------+--------+------
. o3o3o3x .    5 |  10   0 |   10   0 |   5   0 | 384  * |  1  1
. . o3o3x4x   64 |  96  32 |   64  24 |  16   8 |   * 60 |  0  2
------------+-----+---------+----------+---------+--------+------
o3o3o3o3x .    6 |  15   0 |   20   0 |  15   0 |   6  0 | 64  *
. o3o3o3x4x  160 | 320  80 |  320  80 | 160  40 |  32 10 |  * 12

© 2004-2019
top of page