gososaz

Acronym	gososaz
Name	great hepteractihepteractihecatonicosoctaexon
Circumradius	sqrt[9-2 sqrt(2)]/2 = 1.242133
Inradius wrt. hop	[7-sqrt(2)]/sqrt(28) = 1.055614
Inradius wrt. goxaxog	1/2 = 0.5
Inradius wrt. ax	(sqrt(2)-1)/2 = 0.207107
Coordinates	((sqrt(2)-1)/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2) & all permutations, all changes of sign
Dihedral angles (at margins)	at hix between goxaxog and hop: arccos[-1/sqrt(7)] = 112.207654° at pent between ax and goxaxog: 90° at ginnont between goxaxog and goxaxog: 90°
Face vector	896, 5376, 8512, 7280, 3808, 1148, 156
Confer	general polytopal classes: Wythoffian polyexa analogs: gocco series

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

Incidence matrix according to Dynkin symbol

o3o3o3o3o3x4/3x4*e

. . . . . .   .    | 896 |    6    6 |   15   15   6 |   20   20  15 |   15  15  20 |   6   6 15 |   1  1  6
-------------------+-----+-----------+---------------+---------------+--------------+------------+----------
. . . . . x   .    |   2 | 2688    * |    5    0   1 |   10    0   5 |   10   0  10 |   5   0 10 |   1  0  5
. . . . . .   x    |   2 |    * 2688 |    0    5   1 |    0   10   5 |    0  10  10 |   0   5 10 |   0  1  5
-------------------+-----+-----------+---------------+---------------+--------------+------------+----------
. . . . o3x   .    |   3 |    3    0 | 4480    *   * |    4    0   1 |    6   0   4 |   4   0  6 |   1  0  4
. . . . o .   x4*e |   4 |    0    4 |    * 3360   * |    0    4   1 |    0   6   4 |   0   4  6 |   0  1  4
. . . . . x4/3x    |   8 |    4    4 |    *    * 672 ♦    0    0   5 |    0   0  10 |   0   0 10 |   0  0  5
-------------------+-----+-----------+---------------+---------------+--------------+------------+----------
. . . o3o3x   .    ♦   4 |    6    0 |    4    0   0 | 4480    *   * |    3   0   1 |   3   0  3 |   1  0  3
. . . o3o .   x4*e ♦   8 |    0   12 |    0    6   0 |    * 2240   * |    0   3   1 |   0   3  3 |   0  1  3
. . . . o3x4/3x4*e ♦  24 |   24   24 |    8    6   6 |    *    * 560 ♦    0   0   4 |   0   0  6 |   0  0  4
-------------------+-----+-----------+---------------+---------------+--------------+------------+----------
. . o3o3o3x   .    ♦   5 |   10    0 |   10    0   0 |    5    0   0 | 2688   *   * |   2   0  1 |   1  0  2
. . o3o3o .   x4*e ♦  16 |    0   32 |    0   24   0 |    0    8   0 |    * 840   * |   0   2  1 |   0  1  2
. . . o3o3x4/3x4*e ♦  64 |   96   96 |   64   48  24 |   16    8   8 |    *   * 280 |   0   0  3 |   0  0  3
-------------------+-----+-----------+---------------+---------------+--------------+------------+----------
. o3o3o3o3x   .    ♦   6 |   15    0 |   20    0   0 |   15    0   0 |    6   0   0 | 896   *  * |   1  0  1
. o3o3o3o .   x4*e ♦  32 |    0   80 |    0   80   0 |    0   40   0 |    0  10   0 |   * 168  * |   0  1  1
. . o3o3o3x4/3x4*e ♦ 160 |  320  320 |  320  240  80 |  160   80  40 |   32  10  10 |   *   * 84 |   0  0  2
-------------------+-----+-----------+---------------+---------------+--------------+------------+----------
o3o3o3o3o3x   .    ♦   7 |   21    0 |   35    0   0 |   35    0   0 |   21   0   0 |   7   0  0 | 128  *  *
o3o3o3o3o .   x4*e ♦  64 |    0  192 |    0  240   0 |    0  160   0 |    0  60   0 |   0  12  0 |   * 14  *
. o3o3o3o3x4/3x4*e ♦ 384 |  960  960 | 1280  960 240 |  960  480 160 |  384 120  60 |  64  12 12 |   *  * 14

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