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HOMOTHETIC DIMENSION [1 record]

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Record 1 1994-06-01

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

In addition, after being infinitely interpolated and extrapolated, our set is made self similar. Thus it becomes possible to define a similarity dimension for it, and we find the value D=log 7/log 7=1.

OBS

See also "self similarity" and "homothetic transformation".

French

Domaine(s)
  • Mathématiques
  • Infographie
CONT

Cet Univers infiniment interpolé et extrapolé est à homothétie interne, et on peut définir pour lui une dimension d'homothétie, à savoir D=log 7/log 7=1.

OBS

Homothétie : transformation géométrique qui, étant donné un point fixe O (centre, pôle d'homothétie) et un nombre K (rapport d'homothétie), fait correspondre à tout point M de l'espace, un point M' tel que : OM'=KOM. L'homothétie est un cas de similitude.

Spanish

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