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Apollonian sphere packing is the three-dimensional equivalent of the Apollonian gasket. The principle of construction is very similar: with any four spheres that are cotangent to each other, it is then possible to construct two more spheres that are cotangent to four of them, resulting in an infinite sphere packing. The fractal dimension is approximately 2.473946 (±1 in the last digit). Software for generating and visualization of the apollonian sphere packing: ApolFrac.

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  • L'empaquetament de l'esfera d'Apol·loni és l'equivalent tridimensional del . El principi de construcció és molt similar: amb quatre esferes cotangents entre elles, és possible construir dues esferes més que siguin cotangents a quatre d’elles. La dimensió fractal és aproximadament de 2,473946 (± 1 en l'últim dígit). Programari de generació i visualització de l'empaquetament de l'esfera d'Apol·loni: ApolFrac. (ca)
  • Apollonian sphere packing is the three-dimensional equivalent of the Apollonian gasket. The principle of construction is very similar: with any four spheres that are cotangent to each other, it is then possible to construct two more spheres that are cotangent to four of them, resulting in an infinite sphere packing. The fractal dimension is approximately 2.473946 (±1 in the last digit). Software for generating and visualization of the apollonian sphere packing: ApolFrac. (en)
  • L'impacchettamento di sfere apolloniano è l'equivalente tridimensionale della . Il principio di costruzione è molto simile: se si hanno quattro sfere che sono cotangenti fra loro, è allora possibile costruire due altre sfere che siano cotangenti a quattro di esse. La dimensione frattale è 2,473946. (it)
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  • L'empaquetament de l'esfera d'Apol·loni és l'equivalent tridimensional del . El principi de construcció és molt similar: amb quatre esferes cotangents entre elles, és possible construir dues esferes més que siguin cotangents a quatre d’elles. La dimensió fractal és aproximadament de 2,473946 (± 1 en l'últim dígit). Programari de generació i visualització de l'empaquetament de l'esfera d'Apol·loni: ApolFrac. (ca)
  • Apollonian sphere packing is the three-dimensional equivalent of the Apollonian gasket. The principle of construction is very similar: with any four spheres that are cotangent to each other, it is then possible to construct two more spheres that are cotangent to four of them, resulting in an infinite sphere packing. The fractal dimension is approximately 2.473946 (±1 in the last digit). Software for generating and visualization of the apollonian sphere packing: ApolFrac. (en)
  • L'impacchettamento di sfere apolloniano è l'equivalente tridimensionale della . Il principio di costruzione è molto simile: se si hanno quattro sfere che sono cotangenti fra loro, è allora possibile costruire due altre sfere che siano cotangenti a quattro di esse. La dimensione frattale è 2,473946. (it)
rdfs:label
  • Empaquetament de l'esfera d'Apol·loni (ca)
  • Apollonian sphere packing (en)
  • Impacchettamento di sfere apolloniano (it)
  • アポロニウスの球充填 (ja)
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