Acronym goxaxog
Name great hexeractihexeractihexacontitetrapeton
Circumradius sqrt[(4-sqrt(2))/2] = 1.137055
Inradius
wrt. hix
[3 sqrt(2)-1]/sqrt(12) = 0.936070
Inradius
wrt. ginnont
1/2 = 0.5
Inradius
wrt. pent
(sqrt(2)-1)/2 = 0.207107
Coordinates ((sqrt(2)-1)/2, 1/2, 1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
Volume [540 sqrt(2)-451]/90 = 3.474170
Surface [-540+894 sqrt(2)+2 sqrt(3)]/15 = 48.518068
Dihedral angles
(at margins)
Face vector 384, 1920, 2480, 1600, 564, 88
Confer
general polytopal classes:
Wythoffian polypeta  
analogs:
gocco series  

As abstract polytope goxaxog is isomorphic to soxaxog, thereby replacing octagrams by octagons, resp. gocco by socco, resp. gittith by steth, and ginnont by sinnont.


Incidence matrix according to Dynkin symbol

o3o3o3o3x4/3x4*d

. . . . .   .    | 384 |   5   5 |   10  10   5 |  10  10  10 |   5   5 10 |  1  1  5
-----------------+-----+---------+--------------+-------------+------------+---------
. . . . x   .    |   2 | 960   * |    4   0   1 |   6   0   4 |   4   0  6 |  1  0  4
. . . . .   x    |   2 |   * 960 |    0   4   1 |   0   6   4 |   0   4  6 |  0  1  4
-----------------+-----+---------+--------------+-------------+------------+---------
. . . o3x   .    |   3 |   3   0 | 1280   *   * |   3   0   1 |   3   0  3 |  1  0  3
. . . o .   x4*d |   4 |   0   4 |    * 960   * |   0   3   1 |   0   3  3 |  0  1  3
. . . . x4/3x    |   8 |   4   4 |    *   * 240    0   0   4 |   0   0  6 |  0  0  4
-----------------+-----+---------+--------------+-------------+------------+---------
. . o3o3x   .       4 |   6   0 |    4   0   0 | 960   *   * |   2   0  1 |  1  0  2
. . o3o .   x4*d    8 |   0  12 |    0   6   0 |   * 480   * |   0   2  1 |  0  1  2
. . . o3x4/3x4*d   24 |  24  24 |    8   6   6 |   *   * 160 |   0   0  3 |  0  0  3
-----------------+-----+---------+--------------+-------------+------------+---------
. o3o3o3x   .       5 |  10   0 |   10   0   0 |   5   0   0 | 384   *  * |  1  0  1
. o3o3o .   x4*d   16 |   0  32 |    0  24   0 |   0   8   0 |   * 120  * |  0  1  1
. . o3o3x4/3x4*d   64 |  96  96 |   64  48  24 |  16   8   8 |   *   * 60 |  0  0  2
-----------------+-----+---------+--------------+-------------+------------+---------
o3o3o3o3x   .       6 |  15   0 |   20   0   0 |  15   0   0 |   6   0  0 | 64  *  *
o3o3o3o .   x4*d   32 |   0  80 |    0  80   0 |   0  40   0 |   0  10  0 |  * 12  *
. o3o3o3x4/3x4*d  160 | 320 320 |  320 240  80 | 160  80  40 |  32  10 10 |  *  * 12

© 2004-2024
top of page