{"id":10782,"date":"2021-03-25T08:00:00","date_gmt":"2021-03-25T12:00:00","guid":{"rendered":"https:\/\/mathemalchemy.org\/?p=10782"},"modified":"2023-07-17T23:22:20","modified_gmt":"2023-07-18T03:22:20","slug":"flocons-et-lasers","status":"publish","type":"post","link":"https:\/\/mathemalchemy.org\/fr\/2021\/03\/25\/flocons-et-lasers\/","title":{"rendered":"Flocons et lasers"},"content":{"rendered":"\n<div class=\"wp-block-cover alignfull has-background-dim-10 has-background-dim\"><video class=\"wp-block-cover__video-background intrinsic-ignore\" autoplay muted loop playsinline src=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/Snow-5182.mp4\" data-object-fit=\"cover\"><\/video><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p>Il neige toujours sur la colline de Riemann-Lebesgue. Cette neige est probablement un peu diff\u00e9rente de celle que vous voyez tomber dans votre quartier. La neige naturelle est form\u00e9e par la condensation de la vapeur d&rsquo;eau en gouttelettes qui g\u00e8lent ensuite pour former une graine cristalline sur laquelle la vapeur d&rsquo;eau peut geler. Encore et encore jusqu&rsquo;\u00e0 ce que, <em>tadaa<\/em>! Les <strong>flocons de neige <\/strong>de l&rsquo;exposition Mathemalchemy quant \u00e0 eux sont construits \u00e0 l&rsquo;aide de <strong>math\u00e9matiques et de lasers <\/strong>. <\/p>\n<\/div><\/div>\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<h2 class=\"wp-block-heading\">Conception des flocons<\/h2>\n\n<h3 class=\"has-large-font-size wp-block-heading\">Serpents dans le plan (Le genre g\u00e9om\u00e9trique)<\/h3>\n\n<p>Tout d&rsquo;abord, un dessin est g\u00e9n\u00e9r\u00e9 \u00e0 l&rsquo;aide d&rsquo;un programme informatique compos\u00e9 de <a href=\"https:\/\/www.mathworks.com\/products\/matlab.html\" target=\"_blank\" rel=\"noreferrer noopener\">MATLAB<\/a>, <a href=\"https:\/\/www.wolfram.com\/mathematica\/\" target=\"_blank\" rel=\"noreferrer noopener\">Mathematica<\/a>, <a href=\"https:\/\/www.sagemath.org\/\" target=\"_blank\" rel=\"noreferrer noopener\">SAGE<\/a> ou d&rsquo;un sympathique serpent &#8211; <a href=\"https:\/\/www.python.org\/\" target=\"_blank\" rel=\"noreferrer noopener\">Python<\/a>. Une belle introduction \u00e0 la cr\u00e9ation de <a href=\"https:\/\/en.wikipedia.org\/wiki\/Koch_snowflake\" target=\"_blank\" rel=\"noreferrer noopener\">flocons de Koch<\/a> se trouve \u00e0 <a href=\"https:\/\/trinket.io\/python\/8c8b7f567e\" target=\"_blank\" rel=\"noreferrer noopener\">Trinket<\/a> &#8211; # Your basic Koch triangle.<\/p>\n\n<iframe loading=\"lazy\" src=\"https:\/\/trinket.io\/embed\/python\/3f24c7d716?start=result\" width=\"100%\" height=\"356\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" allowfullscreen=\"\"><\/iframe>\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<p>Il s&rsquo;agit d&rsquo;une belle introduction \u00e0 Python et \u00e0 la m\u00e9thode it\u00e9rative avec l&rsquo;aide d&rsquo;une tortue. La mascotte de l&rsquo;exposition est <a href=\"https:\/\/mathemalchemy.org\/2020\/10\/29\/tess-the-tortoises-story\/\">une tortue nomm\u00e9e Tess<\/a> en voyage vers l&rsquo;infini. Il est donc tout \u00e0 fait appropri\u00e9 qu&rsquo;une autre tortue nous guide au travers des math\u00e9matiques associ\u00e9s \u00e0 cette forme magnifique.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33%\"><\/div>\n<\/div>\n\n<div style=\"height:75px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<h2 class=\"wp-block-heading\">Tout commence par un triangle<\/h2>\n\n<p>Nos flocons de neige sont cr\u00e9\u00e9s par <a href=\"https:\/\/mathemalchemy.org\/team-23-mathematicians-artists-of-mathemalchemy\/#Ingrid-Daubechies\">Ingrid Daubechies<\/a>. Les exemples que je vais pr\u00e9senter commencent par un triangle \u00e9quilat\u00e9ral tel que d\u00e9crit par <a href=\"https:\/\/en.wikipedia.org\/wiki\/Helge_von_Koch\" target=\"_blank\" rel=\"noreferrer noopener\">Helge von Koch<\/a> dans son article de 1904 \u00ab\u00a0<em>Sur une courbe continue sans tangente, obtenue par une construction g\u00e9om\u00e9trique \u00e9l\u00e9mentaire<\/em>\u00a0\u00bb <em>(texte original en fran\u00e7ais)<\/em>. A noter que le fran\u00e7ais \u00e9tait la langue internationale des sciences \u00e0 l&rsquo;\u00e9poque.<\/p>\n\n<div class=\"wp-block-cover alignfull has-background-dim has-parallax\" style=\"background-image:url(https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/sergey-zolkin-32YLLwBI8Q4-unsplash.jpg)\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<figure class=\"wp-block-image size-large coblocks-animate\" data-coblocks-animation=\"fadeIn\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"652\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/On-a-continuous-curve-without-tangents-constructible-from-elementary-geometry.jpg?resize=900%2C652&#038;ssl=1\" alt=\"\" class=\"wp-image-2347\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/On-a-continuous-curve-without-tangents-constructible-from-elementary-geometry.jpg?resize=1024%2C742&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/On-a-continuous-curve-without-tangents-constructible-from-elementary-geometry.jpg?resize=300%2C217&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/On-a-continuous-curve-without-tangents-constructible-from-elementary-geometry.jpg?resize=768%2C556&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/On-a-continuous-curve-without-tangents-constructible-from-elementary-geometry.jpg?w=1200&amp;ssl=1 1200w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><\/figure>\n\n\n<p class=\"has-text-align-center has-normal-font-size\">Je ne sais pas s&rsquo;il a utilis\u00e9 une \u00e9querre et un compas ou une r\u00e8gle gradu\u00e9e, mais il a r\u00e9ussi \u00e0 tracer et \u00e0 intersecter de tr\u00e8s belles lignes.<\/p>\n<\/div><\/div>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p>Ingrid m&rsquo;a fourni cinq it\u00e9rations de flocons de neige Koch que j&rsquo;ai import\u00e9es dans un logiciel graphique gratuit appel\u00e9 <a href=\"https:\/\/inkscape.org\/\" target=\"_blank\" rel=\"noreferrer noopener\">Inkscape<\/a>. Il peut faire \u00e0 peu pr\u00e8s tout ce que les programmes payants peuvent faire. De nombreuses <a href=\"https:\/\/www.youtube.com\/playlist?list=PLqazFFzUAPc5lOQwDoZ4Dw2YSXtO7lWNv\">vid\u00e9os Youtube<\/a> sont \u00e9galement disponibles.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-large coblocks-animate\" data-coblocks-animation=\"slideInRight\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"488\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/fift-iteration-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=900%2C488&#038;ssl=1\" alt=\"Flocons de Koch dans Inkscape\" class=\"wp-image-2290\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/fift-iteration-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=1024%2C555&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/fift-iteration-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=300%2C163&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/fift-iteration-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=768%2C416&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/fift-iteration-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=1200%2C650&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/fift-iteration-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?w=1440&amp;ssl=1 1440w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><figcaption>Voici la 5\u00e8me it\u00e9ration ouverte dans Inkscape.<\/figcaption><\/figure>\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<\/div>\n<\/div>\n\n<p>Ensuite, j&rsquo;ai ouvert la 4\u00e8me it\u00e9ration dans une autre instance d&rsquo;Inkscape et je l&rsquo;ai \u00ab\u00a0copi\u00e9e-coll\u00e9e\u00a0\u00bb dans le dessin de la 5\u00e8me it\u00e9ration. Apr\u00e8s un l\u00e9ger redimensionnement, je l&rsquo;ai plac\u00e9 \u00e0 l&rsquo;int\u00e9rieur de la 5\u00e8me it\u00e9ration. Nous avons ensuite appliqu\u00e9 le m\u00eame proc\u00e9d\u00e9 aux 3\u00e8me, 2\u00e8me et 1\u00e8re it\u00e9rations.<\/p>\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-full coblocks-animate\" data-coblocks-animation=\"slideInLeft\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"488\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/innermost-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=900%2C488&#038;ssl=1\" alt=\"Flocons de Koch superpos&#xE9;s\" class=\"wp-image-2296\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/innermost-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?w=1440&amp;ssl=1 1440w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/innermost-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=300%2C163&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/innermost-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=1024%2C555&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/innermost-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=768%2C416&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/innermost-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=1200%2C650&amp;ssl=1 1200w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><figcaption>Flocons de Koch superpos\u00e9s dans Inkscape.<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p>Sur cette image, vous pouvez voir que le flocon de neige le plus \u00e0 l&rsquo;int\u00e9rieur est simplement un triangle \u00e9quilat\u00e9ral avec, au centre de chaque ar\u00eate, un triangle \u00e9quilat\u00e9ral plus petits d&rsquo;une longueur d&rsquo;ar\u00eate \u2153 de l\u2019ar\u00eate d&rsquo;origine.<br\/>Le m\u00eame processus est minutieusement r\u00e9alis\u00e9 par Koch \u00e0 la plume et \u00e0 l&rsquo;encre.<\/p>\n<\/div>\n<\/div>\n\n<div style=\"height:75px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<h2 class=\"wp-block-heading\">Flocons et lasers<\/h2>\n\n<h3 class=\"wp-block-heading\">Pew-Pew ! ZAP !<\/h3>\n\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p>Ok, c&rsquo;est l&rsquo;heure des lasers ! C&rsquo;est parti pour la d\u00e9coupe au laser. J&rsquo;utilise <a href=\"https:\/\/www.ponoko.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">Ponoko<\/a> parce que je trouve que jc&rsquo;est facile d&rsquo;utilisation et que leurs prix sont raisonnables.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-large coblocks-animate\" data-coblocks-animation=\"slideInRight\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"482\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image2.jpg?resize=900%2C482&#038;ssl=1\" alt=\"\" class=\"wp-image-2302\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image2.jpg?resize=1024%2C548&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image2.jpg?resize=300%2C161&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image2.jpg?resize=768%2C411&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image2.jpg?resize=1200%2C642&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image2.jpg?w=1368&amp;ssl=1 1368w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><figcaption>La <a href=\"https:\/\/www.ponoko.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">page d&rsquo;accueil de Ponoko<\/a>.<\/figcaption><\/figure><\/div>\n<\/div>\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"wp-block-themeisle-blocks-font-awesome-icons\" id=\"wp-block-themeisle-blocks-font-awesome-icons-0dbf1668\"><span class=\"wp-block-themeisle-blocks-font-awesome-icons-container\"><i class=\"fas fa-file-import\"><\/i><\/span><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p>Commen\u00e7ons par charger une image. Ponoko exige que l&rsquo;image soit un fichier vectoris\u00e9 scalaire. Un nom plus appropri\u00e9 pourrait \u00eatre \u00ab\u00a0Scalable Vector File\u00a0\u00bb (fichier vectoris\u00e9 adaptable), car c&rsquo;est ce qu&rsquo;il fait si bien : il pr\u00e9serve la forme du dessin lors de l&rsquo;agrandissement et du r\u00e9tr\u00e9cissement.<\/p>\n<\/div>\n<\/div>\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-large coblocks-animate\" data-coblocks-animation=\"slideInLeft\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"482\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/design-process-ponoko-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=900%2C482&#038;ssl=1\" alt=\"Finition du dessin avec Ponoko\" class=\"wp-image-2311\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/design-process-ponoko-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?w=1000&amp;ssl=1 1000w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/design-process-ponoko-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=300%2C161&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/design-process-ponoko-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=768%2C411&amp;ssl=1 768w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><figcaption>Finition du dessin avec Ponoko.<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p>Maintenant, notre flocon de neige doit \u00eatre t\u00e9l\u00e9charg\u00e9. Ponoko doit encore passer par quelques \u00e9tapes, comme l&rsquo;analyse et la finition. La premi\u00e8re fois que j&rsquo;ai essay\u00e9, cela m&rsquo;a pris environ deux minutes. Je craignais d&rsquo;avoir trop sollicit\u00e9 son service informatique ou d&rsquo;avoir rompu ma connexion internet&#8230; non, cela prend juste un peu de temps. <\/p>\n<\/div>\n<\/div>\n\n<p>L&rsquo;\u00e9tape importante suivante consistent \u00e0 d\u00e9finir la fonction de chaque ligne de couleur. J&rsquo;ai mis le contour ext\u00e9rieur en bleu et l&rsquo;int\u00e9rieur en noir de sorte que la d\u00e9coupe se fasse sur le bleu et la gravure sur le noir, comme vous pouvez le voir ci-dessous.<\/p>\n\n<p>Apr\u00e8s avoir valid\u00e9 le concept, il est temps de choisir le mat\u00e9riau. Nous avons opt\u00e9 pour un plexiglas transparent de 3 mm ou ~\u215b pouce. Il suffit de quelques clics suppl\u00e9mentaires pour que le dessin soit pr\u00eat \u00e0 \u00eatre d\u00e9coup\u00e9. Confirmer le mat\u00e9riau. Ponoko est bavard en ce qui concerne le nombre d&rsquo;\u00e9tapes. Vous pouvez \u00e9galement revenir en arri\u00e8re en cours de route. Leur service client\u00e8le est \u00e9galement tr\u00e8s bon. <\/p>\n\n<div class=\"wp-block-jetpack-tiled-gallery aligncenter is-style-rectangular\"><div class=\"tiled-gallery__gallery\"><div class=\"tiled-gallery__row\"><div class=\"tiled-gallery__col\" style=\"flex-basis:50%\"><figure class=\"tiled-gallery__item\"><img decoding=\"async\" role=\"button\" tabindex=\"0\" aria-label=\"Ouvrir l\u2019image 1 sur 2 en plein \u00e9cran\"srcset=\"https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image13.jpg?strip=info&#038;w=600&#038;ssl=1 600w,https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image13.jpg?strip=info&#038;w=900&#038;ssl=1 900w,https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image13.jpg?strip=info&#038;w=1200&#038;ssl=1 1200w,https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image13.jpg?strip=info&#038;w=1368&#038;ssl=1 1368w\" alt=\"Choix du mat\u00e9riau du flocon\" data-height=\"732\" data-id=\"2316\" data-link=\"https:\/\/mathemalchemy.org\/?attachment_id=2316\" data-url=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image13.jpg\" data-width=\"1368\" src=\"https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image13.jpg?ssl=1\" layout=\"responsive\"><\/figure><\/div><div class=\"tiled-gallery__col\" style=\"flex-basis:50%\"><figure class=\"tiled-gallery__item\"><img decoding=\"async\" role=\"button\" tabindex=\"0\" aria-label=\"Ouvrir l\u2019image 2 sur 2 en plein \u00e9cran\"srcset=\"https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image14.jpg?strip=info&#038;w=600&#038;ssl=1 600w,https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image14.jpg?strip=info&#038;w=900&#038;ssl=1 900w,https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image14.jpg?strip=info&#038;w=1200&#038;ssl=1 1200w,https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image14.jpg?strip=info&#038;w=1368&#038;ssl=1 1368w\" alt=\"Les flocons seront fabriqu\u00e9s en acrylique transparent.\" data-height=\"732\" data-id=\"2317\" data-link=\"https:\/\/mathemalchemy.org\/?attachment_id=2317\" data-url=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image14.jpg\" data-width=\"1368\" src=\"https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image14.jpg?ssl=1\" layout=\"responsive\"><\/figure><\/div><\/div><\/div><\/div>\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<p>Finalement, c&rsquo;est \u00e0 peu pr\u00e8s la m\u00eame chose que n&rsquo;importe quel autre site d&rsquo;achat en ligne. Il y a cependant un probl\u00e8me. Les lignes grav\u00e9es ne se voient pas tr\u00e8s bien dans les derni\u00e8res \u00e9tapes de la commande. Comme vous pouvez le voir sur la photo ci-dessous. Mais le service client\u00e8le m&rsquo;a assur\u00e9 qu&rsquo;elles \u00e9taient en fait toujours l\u00e0.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-large coblocks-animate\" data-coblocks-animation=\"slideInRight\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"482\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image16.jpg?resize=900%2C482&#038;ssl=1\" alt=\"Capture d'&#xE9;cran de la derni&#xE8;re &#xE9;tape de la commande.\" class=\"wp-image-2320\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image16.jpg?resize=1024%2C548&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image16.jpg?resize=300%2C161&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image16.jpg?resize=768%2C411&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image16.jpg?resize=1200%2C642&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/image16.jpg?w=1368&amp;ssl=1 1368w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><figcaption>Derni\u00e8res \u00e9tapes de la commande de Ponoko.<\/figcaption><\/figure><\/div>\n<\/div>\n\n<p>Une fois la commande pass\u00e9e, les condensateurs se chargent en pr\u00e9vision d&rsquo;un d\u00e9coupage au laser de grande envergure. Maintenant il ne nous reste plus qu&rsquo;\u00e0 attendre. J&rsquo;aurais pu opter pour le faire livrer d\u00e8s le lendemain, mais le suppl\u00e9ment est \u00e9lev\u00e9. J&rsquo;ai plut\u00f4t choisi cinq jours. Ponoko envoie des informations de suivi, qu&rsquo;il choisisse de livrer avec UPS ou USPS. Il est toujours agr\u00e9able de savoir o\u00f9 et quand les colis sont livr\u00e9s.<\/p>\n\n<div style=\"height:75px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<h2 class=\"wp-block-heading\">Les bonnes choses se pr\u00e9sentent sous forme de gros paquets<\/h2>\n\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<p>Et voil\u00e0, c&rsquo;est fait ! <\/p>\n\n\n\n<p>L&rsquo;acrylique est recouvert sur les deux faces de papier adh\u00e9sif tr\u00e8s tenace pour le prot\u00e9ger des rayures.<\/p>\n\n\n\n<p>D\u00e9tacher les flocons et c&rsquo;est l&rsquo;heure du bain.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"758\" height=\"1000\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/delivered-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=758%2C1000&#038;ssl=1\" alt=\"Livraison des flocons\" class=\"wp-image-2332\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/delivered-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?w=758&amp;ssl=1 758w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/delivered-koch-snowflake-edward-vogel-mathemalchemy-art-project.jpg?resize=227%2C300&amp;ssl=1 227w\" sizes=\"auto, (max-width: 758px) 100vw, 758px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-jetpack-tiled-gallery aligncenter is-style-rectangular\"><div class=\"tiled-gallery__gallery\"><div class=\"tiled-gallery__row\"><div class=\"tiled-gallery__col\" style=\"flex-basis:46.75223789163804%\"><figure class=\"tiled-gallery__item\"><img decoding=\"async\" role=\"button\" tabindex=\"0\" aria-label=\"Ouvrir l\u2019image 1 sur 2 en plein \u00e9cran\"srcset=\"https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/protected-snowflakes-edward-vogel-mathemalchemy-art-project-1.jpg?strip=info&#038;w=600&#038;ssl=1 600w,https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/protected-snowflakes-edward-vogel-mathemalchemy-art-project-1.jpg?strip=info&#038;w=717&#038;ssl=1 717w\" alt=\"Flocons prot\u00e9g\u00e9s\" data-height=\"900\" data-id=\"2367\" data-link=\"https:\/\/mathemalchemy.org\/2021\/03\/24\/snowflakes-and-lasers\/protected-snowflakes-edward-vogel-mathemalchemy-art-project-1\/\" data-url=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/protected-snowflakes-edward-vogel-mathemalchemy-art-project-1.jpg\" data-width=\"717\" src=\"https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/protected-snowflakes-edward-vogel-mathemalchemy-art-project-1.jpg?ssl=1\" layout=\"responsive\"><\/figure><\/div><div class=\"tiled-gallery__col\" style=\"flex-basis:53.247762108361975%\"><figure class=\"tiled-gallery__item\"><img decoding=\"async\" role=\"button\" tabindex=\"0\" aria-label=\"Ouvrir l\u2019image 2 sur 2 en plein \u00e9cran\"srcset=\"https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/pop-snowflakes-edward-vogel-mathemalchemy-art-project.jpg?strip=info&#038;w=600&#038;ssl=1 600w,https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/pop-snowflakes-edward-vogel-mathemalchemy-art-project.jpg?strip=info&#038;w=700&#038;ssl=1 700w\" alt=\"Flocons d\u00e9tach\u00e9s\" data-height=\"771\" data-id=\"2369\" data-link=\"https:\/\/mathemalchemy.org\/2021\/03\/24\/snowflakes-and-lasers\/pop-snowflakes-edward-vogel-mathemalchemy-art-project\/\" data-url=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/pop-snowflakes-edward-vogel-mathemalchemy-art-project.jpg\" data-width=\"700\" src=\"https:\/\/i2.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/pop-snowflakes-edward-vogel-mathemalchemy-art-project.jpg?ssl=1\" layout=\"responsive\"><\/figure><\/div><\/div><\/div><\/div>\n<\/div>\n<\/div>\n\n<div style=\"height:75px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<h2 class=\"wp-block-heading\">Le bain des flocons !<\/h2>\n\n<p>Je les ai laiss\u00e9s tremper pendant environ trois heures, puis j&rsquo;ai pu enlever le papier protecteur facilement. Pour d&rsquo;autres commandes, ils ont utilis\u00e9 un papier brun qui contient apparemment plus de colle. Il faut une nuit dans de l&rsquo;eau savonneuse pour d\u00e9coller \u00e7a.<\/p>\n\n<div class=\"wp-block-image coblocks-animate\" data-coblocks-animation=\"slideInBottom\"><figure class=\"aligncenter size-large is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/bathing-snowflakes-edward-vogel-mathemalchemy-art-project.jpg?resize=500%2C405&#038;ssl=1\" alt=\"Flocons dans un petit bain\" class=\"wp-image-2336\" width=\"500\" height=\"405\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/bathing-snowflakes-edward-vogel-mathemalchemy-art-project.jpg?w=1000&amp;ssl=1 1000w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/bathing-snowflakes-edward-vogel-mathemalchemy-art-project.jpg?resize=300%2C243&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/bathing-snowflakes-edward-vogel-mathemalchemy-art-project.jpg?resize=768%2C621&amp;ssl=1 768w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption>Flocons dans le bain la nuit.<\/figcaption><\/figure><\/div>\n\n<div style=\"height:75px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<h2 class=\"wp-block-heading\">Voil\u00e0 ! Partie 2<\/h2>\n\n<p>Et voil\u00e0, un joli flocon au bord de la mer. Magnifique ! <\/p>\n\n<div class=\"wp-block-image is-style-rounded coblocks-animate\" data-coblocks-animation=\"zoomIn\"><figure class=\"aligncenter size-large is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/snowflakes-laser-edward-vogel-mathemalchemy-art-project.jpg?resize=768%2C695&#038;ssl=1\" alt=\"Flocon finalis&#xE9;, d&#xE9;coup&#xE9; finement au laser\" class=\"wp-image-2344\" width=\"768\" height=\"695\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/snowflakes-laser-edward-vogel-mathemalchemy-art-project.jpg?resize=1024%2C926&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/snowflakes-laser-edward-vogel-mathemalchemy-art-project.jpg?resize=300%2C271&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/snowflakes-laser-edward-vogel-mathemalchemy-art-project.jpg?resize=768%2C694&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/snowflakes-laser-edward-vogel-mathemalchemy-art-project.jpg?resize=1200%2C1085&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/03\/snowflakes-laser-edward-vogel-mathemalchemy-art-project.jpg?w=1300&amp;ssl=1 1300w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/figure><\/div>\n\n<p>Cependant, il fut un temps o\u00f9 les fonctions math\u00e9matiques de ce type \u00e9taient consid\u00e9r\u00e9es comme des \u00ab\u00a0monstres\u00a0\u00bb.<\/p>\n\n<p>Une tr\u00e8s bonne lecture sur ce sujet est disponible dans MacTutor History of Mathematics Archive de l\u2019Universit\u00e9 de St Andrews, en \u00c9cosse &#8211; <a href=\"https:\/\/mathshistory.st-andrews.ac.uk\/HistTopics\/fractals\/\" target=\"_blank\" rel=\"noreferrer noopener\">A History of Fractal Geometry (Histoire de la g\u00e9om\u00e9trie fractale<\/a>).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Il neige toujours sur la colline de Riemann-Lebesgue. Cette neige est probablement un peu diff\u00e9rente de celle que vous voyez tomber dans votre quartier. Les flocons de neige de l&rsquo;exposition Mathemalchemy sont construits \u00e0 l&rsquo;aide de math\u00e9matiques et de lasers. <\/p>\n","protected":false},"author":44503787,"featured_media":9187,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[6673],"tags":[6856,6806,6697,7162,6837,6859,6801,6793,6694,7161],"class_list":["post-10782","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-realisation-de-mathemalchemy","tag-colline-integrale","tag-decoupe-laser","tag-diy-fr","tag-fabrication-rapide","tag-flocons-de-neige","tag-flocons-de-neige-de-koch","tag-monstres","tag-open-source-fr","tag-processus-de-creation","tag-triangle-de-koch","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Flocons et lasers - Mathemalchemy<\/title>\n<meta name=\"description\" content=\"Edward Vogel vous emm\u00e8ne dans les coulisses et vous explique, \u00e9tape par \u00e9tape, comment il a con\u00e7u et produit des flocons d\u00e9coup\u00e9s au laser pour Mathemalchemy.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemalchemy.org\/fr\/2023\/04\/19\/flocons-et-lasers\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Flocons et lasers - Mathemalchemy\" \/>\n<meta property=\"og:description\" content=\"Edward Vogel vous emm\u00e8ne dans les coulisses et vous explique, \u00e9tape par \u00e9tape, comment il a con\u00e7u et produit des flocons 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name=\"twitter:description\" content=\"Edward Vogel vous emm\u00e8ne dans les coulisses et vous explique, \u00e9tape par \u00e9tape, comment il a con\u00e7u et produit des flocons d\u00e9coup\u00e9s au laser pour Mathemalchemy.\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"Edward Vogel\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2023\\\/04\\\/19\\\/flocons-et-lasers\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2023\\\/04\\\/19\\\/flocons-et-lasers\\\/\"},\"author\":{\"name\":\"Edward 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