TERMIUM Plus®
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MENGER SPONGE [1 record]
Record 1 - internal organization data 1994-09-15
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Computer Graphics
Record 1, Main entry term, English
- Menger sponge
1, record 1, English, Menger%20sponge
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
Record 1, Textual support, English
Record number: 1, Textual support number: 1 CONT
... the Menger sponge (called) after its architect, Karl Menger, ... has no two-dimensional analogue. Its "holes" are open channels that penetrate the unit cube. Applying the inclusion-exclusion principle, one sees that the generator leaves 27-9+3-1 = 20 cubes of side length 1/3, giving a Hausdorff dimension... Thus, the Menger sponge is intermediate between Cantor dust and cheese, but closer to the latter, as one might expect. Mandelbrot suggested the Menger sponge independently as a model of intermittency. 2, record 1, English, - Menger%20sponge
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Infographie
Record 1, Main entry term, French
- éponge de Menger
1, record 1, French, %C3%A9ponge%20de%20Menger
correct, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
Record 1, Textual support, French
Record number: 1, Textual support number: 1 DEF
Fractale autosymétrique d'apparence solide, à surface et masse nulles, à dimension Hausdorff 2,73..., obtenue en enlevant des cubes dans un cube, et qui ressemble à un fromage fractal plus qu'à une poussière de Cantor. 2, record 1, French, - %C3%A9ponge%20de%20Menger
Record number: 1, Textual support number: 1 OBS
L'éponge de Menger modélise l'intermittence turbulente des galaxies dans l'univers, des nuages et des bulles de vapeur dans une casserole d'eau bouillante. Les faces extérieures d'une telle éponge peuvent être des tamis de Cantor ou des tapis de Sierpinski. 2, record 1, French, - %C3%A9ponge%20de%20Menger
Record number: 1, Textual support number: 1 PHR
construire une éponge récursivement. 2, record 1, French, - %C3%A9ponge%20de%20Menger
Record number: 1, Textual support number: 2 PHR
générateur, germe d'éponge. 2, record 1, French, - %C3%A9ponge%20de%20Menger
Record 1, Spanish
Record 1, Textual support, Spanish
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