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APPROCHEE PEANO [1 record]
Record 1 - internal organization data 2011-10-20
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Computer Graphics
Record 1, Main entry term, English
- Peano curve
1, record 1, English, Peano%20curve
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
- plane-filling curve 2, record 1, English, plane%2Dfilling%20curve
correct
Record 1, Textual support, English
Record number: 1, Textual support number: 1 CONT
From the mathematical viewpoint, a Peano curve is merely an unusual way of looking at a domain or piece of plane, a set for which all the classical definitions yield the dimension 2. 2, record 1, English, - Peano%20curve
Record number: 1, Textual support number: 1 OBS
According to B. Mendelbrot "plane-filling curve" should be avoided by careful writers. However, this viewpoint is not shared by most authors. 3, record 1, English, - Peano%20curve
Record number: 1, Textual support number: 1 PHR
closed, open Hilbert's Peano curve. 4, record 1, English, - Peano%20curve
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Infographie
Record 1, Main entry term, French
- courbe de remplissage
1, record 1, French, courbe%20de%20remplissage
correct, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
- courbe de Peano 2, record 1, French, courbe%20de%20Peano
correct, feminine noun
- approchée de Peano 3, record 1, French, approch%C3%A9e%20de%20Peano
correct, feminine noun
- courbe de remplissage du plan 3, record 1, French, courbe%20de%20remplissage%20du%20plan
correct, feminine noun
- courbe péanienne 4, record 1, French, courbe%20p%C3%A9anienne
correct, feminine noun
Record 1, Textual support, French
Record number: 1, Textual support number: 1 DEF
Monstre mathématique, à homothétie interne et à dimension fractal D=2, tracée en 1890 par G. Peano pour montrer comment un point déplacé continuellement dans un carré peut rencontrer au moins une fois chaque point du carré. Pour cette raison, elle est aussi appelée «courbe de remplissage du plan ou de l'espace». 3, record 1, French, - courbe%20de%20remplissage
Record number: 1, Textual support number: 1 CONT
Le terme «courbe de Peano» s'applique génériquement à toute une famille de courbes pathologiques qui ont joué de 1890 à 1925 un rôle décisif dans l'élaboration du concept de dimension topologique. 5, record 1, French, - courbe%20de%20remplissage
Record number: 1, Textual support number: 1 OBS
Ces courbes ont la forme d'arbres, de rivières, de colliers péaniens. D. Hilbert a développé une courbe de Peano ouverte. W. Sierpinski a généré une courbe de Peano fermée, Heightway, Ch. Davis et D. Knuth ont construit des courbes de Peano appelées dragons et terdragons, et Gosper a construit une courbe de Peano à partir de 7 hexagones réguliers qu'il a appelée «le serpentin» (flowsnake). 3, record 1, French, - courbe%20de%20remplissage
Record 1, Spanish
Record 1, Textual support, Spanish
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