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Czworościan ścięty |
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Sześcio-ośmiościan |
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Sześcian ścięty |
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Ośmiościan ścięty |
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Truncated Tetrahedron |
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Cuboctahedron |
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Truncated Cube |
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Truncated Octahedron |
`a` |
krawędź – edge length |
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`a'` |
krawędź czworościanu – edge length of tetrahedron |
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`a' = 3 a` |
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`a'` |
krawędź sześcianu – edge length of cube |
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`a' = (1 + sqrt(2)) a` |
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`a'` |
krawędź ośmiościanu – edge length of octahedron |
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`a' = 3 a` |
`A` |
powierzchnia całkowita – surface area |
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`A = 7 a^2 sqrt(3)` |
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`A = 2 (3 + sqrt(3)) a^2` |
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`A = 2 (6 + 6 sqrt(2) + sqrt(3)) a^2` |
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`A = 6 (1 + 2 sqrt(3)) a^2` |
`V` |
objętość – volume |
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`V = (23 a^3 sqrt(2))/12` |
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`V = (5 a^3 sqrt(2))/3` |
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`V = (7 (3 + 2 sqrt(2)) a^3)/3` |
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`V = 8 a^3 sqrt(2)` |
`r_c` |
promień sfery opisanej – circumsphere radius |
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`r_c = (a sqrt(22))/4` |
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`r_c = a` |
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`r_c = (a sqrt(7 + 4 sqrt(2)))/2` |
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`r_c = (a sqrt(10))/2` |
`r_m` |
promień sfery pośredniej – midsphere radius |
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`r_m = (3 a sqrt(2))/4` |
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`r_m = (a sqrt(3))/2` |
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`r_m = ((2 + sqrt(2)) a)/2` |
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`r_m = (3 a)/2` |
`A/V` |
stosunek powierzchni do objętości – surface-to-volume ratio |
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`A/V = (42 sqrt(6))/(23 a)` |
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`A/V = (6 (3 + sqrt(3)))/(5 a sqrt(2))` |
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`A/V = (6 (6 + 6 sqrt(2) + sqrt(3)))/(7 (3 + 2 sqrt(2)) a)` |
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`A/V = (3 (1 + 2 sqrt(3)))/(4 a sqrt(2))` |