Benutzer:Pjacobi/Kugeln

..	Inkugel	Kantenkugel	Umkugel	Umkugel:Inkugel
Tetraeder	${\displaystyle {\frac {\sqrt {6}}{12}}\,a}$ 0,2041a	..	${\displaystyle {\frac {\sqrt {6}}{4}}\,a}$ 0,6124a	3,000
Hexaeder	${\displaystyle {\frac {1}{2}}\,a}$ 0,5000a	..	${\displaystyle {\frac {\sqrt {2}}{2}}\,a}$ 0,8660a	${\displaystyle {\sqrt {3}}}$ 1,7321
Oktaeder	${\displaystyle {\frac {1}{\sqrt {6}}}\,a}$ 0,4082a	..	${\displaystyle {\frac {1}{\sqrt {2}}}\,a}$ 0,7071a	${\displaystyle {\sqrt {3}}}$ 1,7321
Dodekaeder	${\displaystyle {\frac {\sqrt {5}}{20}}{\sqrt {50+22{\sqrt {5}}}}\,a}$ 1,1135a	..	${\displaystyle {\frac {\sqrt {3}}{4}}\left(1+{\sqrt {5}}\right)\,a}$ 1,4013a	1,2584
Ikosaeder	${\displaystyle {\frac {a}{12}}{\sqrt {3}}\left(3+{\sqrt {5}}\right)}$ 0,7558a	..	${\displaystyle {\frac {a}{4}}{\sqrt {10+2{\sqrt {5}}}}}$ 0,9511a	1,2584

1,73 -- 1,26 -- 1,26 -- 3,00 -- 1,73

Heutige Beobachtungen:

• Merkur (57,9 × 10⁶ km, 0,39 AE)
• Venus (108,2 × 10⁶ km, 0,72 AE)
• Erde (149,6 × 10⁶ km, 1 AE)
• Mars (227,9 × 10⁶ km, 1,52 AE).
• Jupiter (778,3 × 10⁶ km, 5,2 AE)
• Saturn (1,429 × 10⁹ km, 9,53 AE)

1,87 -- 1,38 -- 1,52 -- 3,41 -- 1,84