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BOURRAGE APOLLONIEN [1 record]

Record 1 1994-11-14

English

Subject field(s)
  • Mathematics
  • Computer Graphics
DEF

Packing obtained when a sequence of closed balls V is the interior of a curvilinear triangle in a bidimensional space. Different from "osculatory packing".

CONT

The Apollonian construction concludes with five circles, three given and two Apollonian, which together define six circular triangles. Repeating the same procedure, we draw the largest inscribed circle in each triangle. Infinite further repetition is called Apollonian packing.

OBS

See Apollonian gasket, packing, worm problem.

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

Bourrage obtenu d'un triangle formé de trois boules tangentes deux à deux, par itération infinie de la construction d'Apollonius de Perge (cercles tangents à trois cercles donnés). L'union des intérieurs des cercles couvre presque entièrement le triangle.

OBS

L'ensemble des points non couverts a une surface nulle et constitue un "tamis apollonien".

OBS

Voir bourrage, tamis, tapis de Sierpinski.

Spanish

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