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 |
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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
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