File:ContinuBJK.svg

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Date {2008-07-04
Source Own work
Author Fool~commonswiki
SVG development
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Construction du Continu BJK

On va mettre les points de l'ensemble de Cantor sur l'horizontal, et on va joindre ses points par semicercles, comme suit:

- Si x est dans l'ensemble alors (1-x) l'est aussi. Un arc les joindra par dessus. - Si x est dans l'ensemble, et x n'est par 0, alors il y a un n tel que 2/(3^n) <= x <= 3/(3^n). (5/(3^n) - x) est aussi dans l'ensemble et se trouve aussi entre les mêmes limites. Un arc les joindra par dessous.

Donc on commence 0 (dessus) 1 (dessous) 2/3 (dessus) 1/3 (dessous) 2/9 (dessus) 7/9 (dessous) 8/9 (dessus) 1/9 (dessous) 2/27 et cetera.

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Date/TimeThumbnailDimensionsUserComment
current20:31, 20 May 2020Thumbnail for version as of 20:31, 20 May 2020200 × 440 (3 KB)Kevin PayraviReverted to version as of 19:17, 20 May 2020 (UTC); should be fine I believe, just cache
19:20, 20 May 2020Thumbnail for version as of 19:20, 20 May 2020200 × 500 (3 KB)Deacon VorbisReverted to version as of 17:36, 4 July 2008 (UTC) it looked right in the preview, but after saving, it appears squashed with just as much empty space on the bottom...no idea why
19:17, 20 May 2020Thumbnail for version as of 19:17, 20 May 2020200 × 440 (3 KB)Deacon Vorbisadjust vertical size, reducing empty space on the bottom // Editing SVG source code using c:User:Rillke/SVGedit.js
17:36, 4 July 2008Thumbnail for version as of 17:36, 4 July 2008200 × 500 (3 KB)Fool~commonswiki(''du source XML'') ===Construction du Continu BJK=== On va mettre les points de l'ensemble de Cantor sur l'horizontal, et on va joindre ses points par semicercles, comme suit: - Si x est dans l'ensemble al
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