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 |
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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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