Acronym soxaxog
Name small hexeractihexeractihexacontitetrapeton
Circumradius sqrt[(4+sqrt(2))/2] = 1.645329
Inradius
wrt. hix
[1+3 sqrt(2)]/sqrt(12) = 1.513420
Inradius
wrt. pent
(1+sqrt(2))/2 = 1.207107
Inradius
wrt. sinnont
1/2 = 0.5
Coordinates ((1+sqrt(2))/2, 1/2, 1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
Volume [451+540 sqrt(2)]/90 = 13.496392
Surface [900+894 sqrt(2)+2 sqrt(3)]/15 = 144.518068
Dihedral angles
(at margins)
Face vector 384, 1920, 2480, 1600, 564, 88
Confer
general polytopal classes:
Wythoffian polypeta  
analogs:
socco series  

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


Incidence matrix according to Dynkin symbol

o3o3o3o3x4x4/3*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 . x4/3*d |   4 |   0   4 |    * 960   * |   0   3   1 |   0   3  3 |  0  1  3
. . . . x4x      |   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 . x4/3*d    8 |   0  12 |    0   6   0 |   * 480   * |   0   2  1 |  0  1  2
. . . o3x4x4/3*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 . x4/3*d   16 |   0  32 |    0  24   0 |   0   8   0 |   * 120  * |  0  1  1
. . o3o3x4x4/3*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 . x4/3*d   32 |   0  80 |    0  80   0 |   0  40   0 |   0  10  0 |  * 12  *
. o3o3o3x4x4/3*d  160 | 320 320 |  320 240  80 | 160  80  40 |  32  10 10 |  *  * 12

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