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APOLLONIAN GASKET [1 record]
Record 1 - internal organization data 1995-10-16
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Computer Graphics
Record 1, Main entry term, English
- Apollonian gasket
1, record 1, English, Apollonian%20gasket
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
The residual set of an Apollonian packing. 2, record 1, English, - Apollonian%20gasket
Record number: 1, Textual support number: 1 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. To the resulting infinite collection of circles one adds its limit points, and one obtains a set I call Apollonian net. A portion of net within a circular triangle ... is to be called Apollonian gasket. 3, record 1, English, - Apollonian%20gasket
Record number: 1, Textual support number: 2 CONT
Formation of an Apollonian gasket : the points that are never inside any of the circles form a set of zero area which is, as it were, more than a line, but less than a surface. Its fractal dimension therefore lies between 1 and 2, though its exact value is not known. It is approximately 1.3. 4, record 1, English, - Apollonian%20gasket
Record number: 1, Textual support number: 1 OBS
See Sierpinski gasket. 5, record 1, English, - Apollonian%20gasket
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Infographie
Record 1, Main entry term, French
- tamis apollonien
1, record 1, French, tamis%20apollonien
correct, masculine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
Record 1, Textual support, French
Record number: 1, Textual support number: 1 DEF
L'ensemble non dénombrable des points à surface nulle qui restent non couverts par un bourrage apollonien. 2, record 1, French, - tamis%20apollonien
Record number: 1, Textual support number: 1 OBS
Voir bourrage, entassement. 3, record 1, French, - tamis%20apollonien
Record 1, Spanish
Record 1, Textual support, Spanish
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