{"id":10921,"date":"2022-01-11T16:06:18","date_gmt":"2022-01-11T21:06:18","guid":{"rendered":"https:\/\/mathemalchemy.org\/?p=10921"},"modified":"2024-11-04T22:38:19","modified_gmt":"2024-11-05T03:38:19","slug":"phare-connexions-mathematiques","status":"publish","type":"post","link":"https:\/\/mathemalchemy.org\/fr\/2022\/01\/11\/phare-connexions-mathematiques\/","title":{"rendered":"Phare &#8211; Connexions math\u00e9matiques"},"content":{"rendered":"\n<div class=\"wp-block-cover alignfull coblocks-animate\" data-coblocks-animation=\"fadeIn\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-primary-background-color has-background-dim-80 has-background-dim\"><\/span><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"636\" class=\"wp-block-cover__image-background wp-image-5437\" alt=\"\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-mathemalchemy-art-installation.jpg?resize=900%2C636&#038;ssl=1\" style=\"object-position:74% 10%\" data-object-fit=\"cover\" data-object-position=\"74% 10%\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-mathemalchemy-art-installation.jpg?w=2000&amp;ssl=1 2000w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-mathemalchemy-art-installation.jpg?resize=300%2C212&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-mathemalchemy-art-installation.jpg?resize=1024%2C723&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-mathemalchemy-art-installation.jpg?resize=768%2C543&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-mathemalchemy-art-installation.jpg?resize=1536%2C1085&amp;ssl=1 1536w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-mathemalchemy-art-installation.jpg?resize=1200%2C848&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-mathemalchemy-art-installation.jpg?resize=1568%2C1108&amp;ssl=1 1568w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-mathemalchemy-art-installation.jpg?w=1800&amp;ssl=1 1800w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"lighthouse\">Phare<\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center\" id=\"mathematical-connections\">Connexions math\u00e9matiques<\/h3>\n<\/div><\/div>\n\n\n\n<div style=\"height:60px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion\">\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title has-background has-primary-background-color has-text-color has-background-color\">Si vous \u00eates \u00e0 l&rsquo;exposition&#8230;<\/summary><div class=\"wp-block-coblocks-accordion-item__content\" style=\"border-color:#2c313f\">\n<h4 class=\"wp-block-heading\" id=\"the-story\">L&rsquo;histoire<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Le phare \u00e9claire le monde qui l&rsquo;entoure et permet aux marins de naviguer en toute s\u00e9curit\u00e9 dans des eaux inconnues.<\/p>\n\n\n\n<div class=\"wp-block-coblocks-accordion\">\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\">Regardez de plus pr\u00e8s&#8230; Que voyez-vous?<\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"wp-block-paragraph\">Au sommet du phare se trouvent deux sources lumineuses qui projettent des ombres et des lumi\u00e8res. Pouvez-vous trouver&#8230;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"#dodecahedron\">deux points lumineux<\/a> sur les murs, l&rsquo;un orange, l&rsquo;autre jaune ?<\/li>\n\n\n\n<li>un <a href=\"#stereographic-projection\">motif g\u00e9om\u00e9trique de lumi\u00e8re et d&rsquo;ombres<\/a> au plafond ?<\/li>\n<\/ul>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title\">Concentrez-vous sur\u2026 la projection st\u00e9r\u00e9ographique!<\/summary><div class=\"wp-block-coblocks-accordion-item__content\">\n<p class=\"wp-block-paragraph\">La projection st\u00e9r\u00e9ographique utilise la lumi\u00e8re pour projeter des ombres sur un plan \u00e0 travers une sph\u00e8re. Ici, la surface plane est le plafond.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La projection st\u00e9r\u00e9ographique pr\u00e9serve certaines propri\u00e9t\u00e9s g\u00e9om\u00e9triques tout en en d\u00e9formant d&rsquo;autres. Par exemple, les angles des triangles sur la sph\u00e8re sont conserv\u00e9s dans l&rsquo;ombre (les angles de quatre-vingt-dix degr\u00e9s sur la sph\u00e8re ont une projection sur le plan qui sont aussi des angles de quatre-vingt-dix degr\u00e9s). Les longueurs ne sont pas conserv\u00e9es : les longueurs de la projection augmentent \u00e0 mesure que le plan s&rsquo;\u00e9loigne de la sph\u00e8re.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Les math\u00e9matiques de la projection ont des implications sociales et politiques. La projection de Mercator permet de repr\u00e9senter les continents d&rsquo;un globe sur une carte plane, mais les terres \u00e9loign\u00e9es de l&rsquo;\u00e9quateur prennent une taille disproportionn\u00e9e. Comment cela affecte-t-il notre perception du monde ?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"800\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/Mercator_projection_Square.jpg?resize=800%2C800&#038;ssl=1\" alt=\"\" class=\"wp-image-5743\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/Mercator_projection_Square.jpg?w=800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/Mercator_projection_Square.jpg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/Mercator_projection_Square.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/Mercator_projection_Square.jpg?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/Mercator_projection_Square.jpg?resize=400%2C400&amp;ssl=1 400w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/Mercator_projection_Square.jpg?resize=200%2C200&amp;ssl=1 200w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><figcaption class=\"wp-element-caption\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Mercator_projection#\/media\/File:Mercator_projection_Square.JPG\">Image de Daniel R. Strebe, cr\u00e9\u00e9e le 16 d\u00e9cembre 2011, partag\u00e9e selon la licence CC BY-SA 3.0<\/a>.<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Sur cette carte de la Terre selon la projection de Mercator, le Groenland appara\u00eet presque aussi grand que l&rsquo;Afrique, et l&rsquo;Antarctique les \u00e9clipse tous les deux. En r\u00e9alit\u00e9, la superficie de l&rsquo;Afrique est plus de 14 fois sup\u00e9rieure \u00e0 celle du Groenland et deux fois sup\u00e9rieure \u00e0 celle de l&rsquo;Antarctique.<\/p>\n<\/div><\/details><\/div>\n<\/div>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title has-background has-text-color has-primary-color\" style=\"background-color:#f4a811\">Navigation<\/summary><div class=\"wp-block-coblocks-accordion-item__content\" style=\"border-color:#f4a811\">\n<p class=\"wp-block-paragraph\">Avec l\u2019av\u00e8nement de la navigation par satellite, les <a href=\"https:\/\/fr.wikipedia.org\/wiki\/Phare\" target=\"_blank\" rel=\"noreferrer noopener\">phares<\/a> sont devenus pratiquement obsol\u00e8tes. Notez que les deux formes de <a href=\"https:\/\/fr.wikipedia.org\/wiki\/Navigation\" target=\"_blank\" rel=\"noreferrer noopener\">navigation<\/a>, qu\u2019il s\u2019agisse de la triangulation des balises de proximit\u00e9, telles que les phares, ou de l\u2019utilisation du GPS (<em>Global Positioning Satellite<\/em>), d\u00e9pendent grandement des math\u00e9matiques !<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"900\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=900%2C900&#038;ssl=1\" alt=\"Les macareux-gardiens rel\u00e8vent leur quart, sur le phare\" class=\"wp-image-4165\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=1024%2C1024&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=800%2C800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=400%2C400&amp;ssl=1 400w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=200%2C200&amp;ssl=1 200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?w=1200&amp;ssl=1 1200w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><\/figure>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title has-background has-text-color has-primary-color\" style=\"background-color:#f4a811\">Lentilles de Fresnel<\/summary><div class=\"wp-block-coblocks-accordion-item__content\" style=\"border-color:#f4a811\">\n<p class=\"wp-block-paragraph\">Les lentilles du phare de Math\u00e9mAlchimie sont des <a href=\"https:\/\/fr.wikipedia.org\/wiki\/Lentille_de_Fresnel\" target=\"_blank\" rel=\"noreferrer noopener\">lentilles de Fresnel<\/a>, comme celles qu\u2019on trouve dans les v\u00e9ritables phares. Les lentilles de Fresnel ont \u00e9t\u00e9 invent\u00e9es au XIX<sup>e<\/sup> si\u00e8cle par le physicien fran\u00e7ais Augustin-Jean Fresnel. Elles ont \u00e9t\u00e9 cr\u00e9\u00e9es pour permettre la fabrication de lentilles tr\u00e8s puissantes en utilisant beaucoup moins de mat\u00e9riaux. Cela rend possible la formation de faisceaux beaucoup plus concentr\u00e9s, visibles \u00e0 de plus grandes distances. On a m\u00eame qualifi\u00e9 la lentille de Fresnel d\u2019\u00ab <em>invention qui a sauv\u00e9 un million de navires <\/em>\u00bb.<br><\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title has-background has-text-color has-primary-color\" style=\"background-color:#f4a811\">Heptagone<\/summary><div class=\"wp-block-coblocks-accordion-item__content\" style=\"border-color:#f4a811\">\n<p class=\"wp-block-paragraph\">L\u2019un des principes d\u2019organisation du phare est l\u2019<a href=\"https:\/\/fr.wikipedia.org\/wiki\/Heptagone\">heptagone<\/a> r\u00e9gulier. L\u2019heptagone rev\u00eat une importance particuli\u00e8re dans l\u2019histoire des math\u00e9matiques, car c\u2019est le plus petit polygone r\u00e9gulier (avec le moins de c\u00f4t\u00e9s) qui ne peut pas \u00eatre construit \u00e0 l\u2019aide d\u2019une r\u00e8gle et d\u2019un compas. Avant que cela ne soit prouv\u00e9, de nombreuses personnes s\u2019y sont cass\u00e9 les dents\u2026<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"751\" data-id=\"1693\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-beacon-sabetta-matsumoto-bronna-butler-mathemalchemy-art-project.jpg?resize=900%2C751&#038;ssl=1\" alt=\"\" class=\"wp-image-1693\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-beacon-sabetta-matsumoto-bronna-butler-mathemalchemy-art-project.jpg?w=900&amp;ssl=1 900w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-beacon-sabetta-matsumoto-bronna-butler-mathemalchemy-art-project.jpg?resize=300%2C250&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-beacon-sabetta-matsumoto-bronna-butler-mathemalchemy-art-project.jpg?resize=768%2C641&amp;ssl=1 768w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"489\" height=\"1024\" data-id=\"1691\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-sabetta-matsumoto-mathemalchemy-art-project-1.jpg?resize=489%2C1024&#038;ssl=1\" alt=\"\" class=\"wp-image-1691\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-sabetta-matsumoto-mathemalchemy-art-project-1.jpg?resize=489%2C1024&amp;ssl=1 489w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-sabetta-matsumoto-mathemalchemy-art-project-1.jpg?resize=143%2C300&amp;ssl=1 143w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-sabetta-matsumoto-mathemalchemy-art-project-1.jpg?resize=734%2C1536&amp;ssl=1 734w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-sabetta-matsumoto-mathemalchemy-art-project-1.jpg?w=752&amp;ssl=1 752w\" sizes=\"auto, (max-width: 489px) 100vw, 489px\" \/><\/figure>\n<\/figure>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title has-background has-text-color has-primary-color\" style=\"background-color:#f4a811\">Courbes<\/summary><div class=\"wp-block-coblocks-accordion-item__content\" style=\"border-color:#f4a811\">\n<p class=\"wp-block-paragraph\">Le phare a \u00e9t\u00e9 con\u00e7u math\u00e9matiquement pour faciliter sa soudure. Cela a demand\u00e9 une correspondance parfaite des angles lors de la conception des diverses courbes. Pour y arriver, la spirale ascendante de la rampe ext\u00e9rieure et la l\u00e9g\u00e8re forme de \u00ab vase \u00bb (avec une \u00ab taille \u00bb plus \u00e9troite au milieu qu\u2019en haut et en bas) ont d\u00fb \u00eatre associ\u00e9es \u00e0 une spirale moins flagrante des piliers m\u00e9talliques (presque) verticaux.<\/p>\n\n\n\n<div class=\"wp-block-jetpack-slideshow aligncenter\" data-autoplay=\"true\" data-delay=\"3\" data-effect=\"fade\"><div class=\"wp-block-jetpack-slideshow_container swiper-container\"><ul class=\"wp-block-jetpack-slideshow_swiper-wrapper swiper-wrapper\"><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"544\" height=\"1024\" alt=\"Structure m\u00e9tallique du phare\" class=\"wp-block-jetpack-slideshow_image wp-image-5442\" data-id=\"5442\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-structure-lighthouse-story-mathemalchemy-art-installation.jpg?resize=544%2C1024&#038;ssl=1\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-structure-lighthouse-story-mathemalchemy-art-installation.jpg?resize=544%2C1024&amp;ssl=1 544w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-structure-lighthouse-story-mathemalchemy-art-installation.jpg?resize=159%2C300&amp;ssl=1 159w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-structure-lighthouse-story-mathemalchemy-art-installation.jpg?w=708&amp;ssl=1 708w\" sizes=\"(max-width: 544px) 100vw, 544px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"1024\" alt=\"Structure m\u00e9tallique du phare\" class=\"wp-block-jetpack-slideshow_image wp-image-5443\" data-id=\"5443\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-welding-lighthouse-story-mathemalchemy-art-installation.jpg?resize=768%2C1024&#038;ssl=1\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-welding-lighthouse-story-mathemalchemy-art-installation.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-welding-lighthouse-story-mathemalchemy-art-installation.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-welding-lighthouse-story-mathemalchemy-art-installation.jpg?resize=900%2C1200&amp;ssl=1 900w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-welding-lighthouse-story-mathemalchemy-art-installation.jpg?resize=600%2C800&amp;ssl=1 600w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-welding-lighthouse-story-mathemalchemy-art-installation.jpg?resize=300%2C400&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-welding-lighthouse-story-mathemalchemy-art-installation.jpg?resize=150%2C200&amp;ssl=1 150w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/metal-welding-lighthouse-story-mathemalchemy-art-installation.jpg?w=1000&amp;ssl=1 1000w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure><\/li><\/ul><a class=\"wp-block-jetpack-slideshow_button-prev swiper-button-prev swiper-button-white\" role=\"button\"><\/a><a class=\"wp-block-jetpack-slideshow_button-next swiper-button-next swiper-button-white\" role=\"button\"><\/a><a aria-label=\"Pause Slideshow\" class=\"wp-block-jetpack-slideshow_button-pause\" role=\"button\"><\/a><div class=\"wp-block-jetpack-slideshow_pagination swiper-pagination swiper-pagination-white\"><\/div><\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">En d\u2019autres termes, la rotation de chaque courbe a \u00e9t\u00e9 d\u00e9compos\u00e9e en rotation autour de la normale (courbure g\u00e9od\u00e9sique) et autour de la binormale (courbure normale). Imaginez maintenant que vous soudez ensemble deux bandes de m\u00e9tal ayant une section transversale en forme de \u00ab T \u00bb. La bande correspondant \u00e0 la barre sup\u00e9rieure du \u00ab T \u00bb est d\u00e9coup\u00e9e dans une feuille plate selon la courbure g\u00e9od\u00e9sique de la courbe originale. La bande correspondant \u00e0 la ligne verticale du \u00ab T \u00bb est \u00e9galement d\u00e9coup\u00e9e dans une feuille plate, en contribuant \u00e0 la courbure normale. Le pliage et le soudage des deux bandes incorporent essentiellement ces deux courbures pour restituer l\u2019int\u00e9gralit\u00e9 de la courbe d\u2019origine. Le phare a \u00e9t\u00e9 con\u00e7u selon ce principe, \u00e0 une diff\u00e9rence pr\u00e8s : la rampe en spirale avait une forme en \u00ab L \u00bb plut\u00f4t qu\u2019en \u00ab T \u00bb.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-instagram wp-block-embed-instagram\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"instagram-media\" data-instgrm-captioned data-instgrm-permalink=\"https:\/\/www.instagram.com\/p\/CO1H0S5DkiD\/?utm_source=ig_embed&amp;utm_campaign=loading\" data-instgrm-version=\"14\" style=\" background:#FFF; border:0; border-radius:3px; box-shadow:0 0 1px 0 rgba(0,0,0,0.5),0 1px 10px 0 rgba(0,0,0,0.15); margin: 1px; max-width:658px; min-width:326px; padding:0; width:99.375%; width:-webkit-calc(100% - 2px); width:calc(100% - 2px);\"><div style=\"padding:16px;\"> <a href=\"https:\/\/www.instagram.com\/p\/CO1H0S5DkiD\/?utm_source=ig_embed&amp;utm_campaign=loading\" style=\" background:#FFFFFF; line-height:0; padding:0 0; text-align:center; text-decoration:none; width:100%;\" target=\"_blank\"> <div style=\" display: flex; flex-direction: row; align-items: center;\"> <div style=\"background-color: #F4F4F4; border-radius: 50%; flex-grow: 0; height: 40px; margin-right: 14px; width: 40px;\"><\/div> <div style=\"display: flex; flex-direction: column; flex-grow: 1; justify-content: center;\"> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; margin-bottom: 6px; width: 100px;\"><\/div> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; width: 60px;\"><\/div><\/div><\/div><div style=\"padding: 19% 0;\"><\/div> <div style=\"display:block; height:50px; margin:0 auto 12px; width:50px;\"><svg width=\"50px\" height=\"50px\" viewBox=\"0 0 60 60\" version=\"1.1\" xmlns=\"https:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"https:\/\/www.w3.org\/1999\/xlink\"><g stroke=\"none\" stroke-width=\"1\" fill=\"none\" fill-rule=\"evenodd\"><g transform=\"translate(-511.000000, -20.000000)\" fill=\"#000000\"><g><path d=\"M556.869,30.41 C554.814,30.41 553.148,32.076 553.148,34.131 C553.148,36.186 554.814,37.852 556.869,37.852 C558.924,37.852 560.59,36.186 560.59,34.131 C560.59,32.076 558.924,30.41 556.869,30.41 M541,60.657 C535.114,60.657 530.342,55.887 530.342,50 C530.342,44.114 535.114,39.342 541,39.342 C546.887,39.342 551.658,44.114 551.658,50 C551.658,55.887 546.887,60.657 541,60.657 M541,33.886 C532.1,33.886 524.886,41.1 524.886,50 C524.886,58.899 532.1,66.113 541,66.113 C549.9,66.113 557.115,58.899 557.115,50 C557.115,41.1 549.9,33.886 541,33.886 M565.378,62.101 C565.244,65.022 564.756,66.606 564.346,67.663 C563.803,69.06 563.154,70.057 562.106,71.106 C561.058,72.155 560.06,72.803 558.662,73.347 C557.607,73.757 556.021,74.244 553.102,74.378 C549.944,74.521 548.997,74.552 541,74.552 C533.003,74.552 532.056,74.521 528.898,74.378 C525.979,74.244 524.393,73.757 523.338,73.347 C521.94,72.803 520.942,72.155 519.894,71.106 C518.846,70.057 518.197,69.06 517.654,67.663 C517.244,66.606 516.755,65.022 516.623,62.101 C516.479,58.943 516.448,57.996 516.448,50 C516.448,42.003 516.479,41.056 516.623,37.899 C516.755,34.978 517.244,33.391 517.654,32.338 C518.197,30.938 518.846,29.942 519.894,28.894 C520.942,27.846 521.94,27.196 523.338,26.654 C524.393,26.244 525.979,25.756 528.898,25.623 C532.057,25.479 533.004,25.448 541,25.448 C548.997,25.448 549.943,25.479 553.102,25.623 C556.021,25.756 557.607,26.244 558.662,26.654 C560.06,27.196 561.058,27.846 562.106,28.894 C563.154,29.942 563.803,30.938 564.346,32.338 C564.756,33.391 565.244,34.978 565.378,37.899 C565.522,41.056 565.552,42.003 565.552,50 C565.552,57.996 565.522,58.943 565.378,62.101 M570.82,37.631 C570.674,34.438 570.167,32.258 569.425,30.349 C568.659,28.377 567.633,26.702 565.965,25.035 C564.297,23.368 562.623,22.342 560.652,21.575 C558.743,20.834 556.562,20.326 553.369,20.18 C550.169,20.033 549.148,20 541,20 C532.853,20 531.831,20.033 528.631,20.18 C525.438,20.326 523.257,20.834 521.349,21.575 C519.376,22.342 517.703,23.368 516.035,25.035 C514.368,26.702 513.342,28.377 512.574,30.349 C511.834,32.258 511.326,34.438 511.181,37.631 C511.035,40.831 511,41.851 511,50 C511,58.147 511.035,59.17 511.181,62.369 C511.326,65.562 511.834,67.743 512.574,69.651 C513.342,71.625 514.368,73.296 516.035,74.965 C517.703,76.634 519.376,77.658 521.349,78.425 C523.257,79.167 525.438,79.673 528.631,79.82 C531.831,79.965 532.853,80.001 541,80.001 C549.148,80.001 550.169,79.965 553.369,79.82 C556.562,79.673 558.743,79.167 560.652,78.425 C562.623,77.658 564.297,76.634 565.965,74.965 C567.633,73.296 568.659,71.625 569.425,69.651 C570.167,67.743 570.674,65.562 570.82,62.369 C570.966,59.17 571,58.147 571,50 C571,41.851 570.966,40.831 570.82,37.631\"><\/path><\/g><\/g><\/g><\/svg><\/div><div style=\"padding-top: 8px;\"> <div style=\" color:#3897f0; font-family:Arial,sans-serif; font-size:14px; font-style:normal; font-weight:550; line-height:18px;\">View this post on Instagram<\/div><\/div><div style=\"padding: 12.5% 0;\"><\/div> <div style=\"display: flex; flex-direction: row; margin-bottom: 14px; align-items: center;\"><div> <div style=\"background-color: #F4F4F4; border-radius: 50%; height: 12.5px; width: 12.5px; transform: translateX(0px) translateY(7px);\"><\/div> <div style=\"background-color: #F4F4F4; height: 12.5px; transform: rotate(-45deg) translateX(3px) translateY(1px); width: 12.5px; flex-grow: 0; margin-right: 14px; margin-left: 2px;\"><\/div> <div style=\"background-color: #F4F4F4; border-radius: 50%; height: 12.5px; width: 12.5px; transform: translateX(9px) translateY(-18px);\"><\/div><\/div><div style=\"margin-left: 8px;\"> <div style=\" background-color: #F4F4F4; border-radius: 50%; flex-grow: 0; height: 20px; width: 20px;\"><\/div> <div style=\" width: 0; height: 0; border-top: 2px solid transparent; border-left: 6px solid #f4f4f4; border-bottom: 2px solid transparent; transform: translateX(16px) translateY(-4px) rotate(30deg)\"><\/div><\/div><div style=\"margin-left: auto;\"> <div style=\" width: 0px; border-top: 8px solid #F4F4F4; border-right: 8px solid transparent; transform: translateY(16px);\"><\/div> <div style=\" background-color: #F4F4F4; flex-grow: 0; height: 12px; width: 16px; transform: translateY(-4px);\"><\/div> <div style=\" width: 0; height: 0; border-top: 8px solid #F4F4F4; border-left: 8px solid transparent; transform: translateY(-4px) translateX(8px);\"><\/div><\/div><\/div> <div style=\"display: flex; flex-direction: column; flex-grow: 1; justify-content: center; margin-bottom: 24px;\"> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; margin-bottom: 6px; width: 224px;\"><\/div> <div style=\" background-color: #F4F4F4; border-radius: 4px; flex-grow: 0; height: 14px; width: 144px;\"><\/div><\/div><\/a><p style=\" color:#c9c8cd; font-family:Arial,sans-serif; font-size:14px; line-height:17px; margin-bottom:0; margin-top:8px; overflow:hidden; padding:8px 0 7px; text-align:center; text-overflow:ellipsis; white-space:nowrap;\"><a href=\"https:\/\/www.instagram.com\/p\/CO1H0S5DkiD\/?utm_source=ig_embed&amp;utm_campaign=loading\" style=\" color:#c9c8cd; font-family:Arial,sans-serif; font-size:14px; font-style:normal; font-weight:normal; line-height:17px; text-decoration:none;\" target=\"_blank\">A post shared by Mathemalchemy (@mathemalchemy)<\/a><\/p><\/div><\/blockquote><script async src=\"\/\/platform.instagram.com\/en_US\/embeds.js\"><\/script>\n<\/div><\/figure>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title has-background has-text-color has-primary-color\" style=\"background-color:#f4a811\">Dod\u00e9ca\u00e8dre<\/summary><div class=\"wp-block-coblocks-accordion-item__content\" style=\"border-color:#f4a811\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-7387b849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\" id=\"dodecahedron\">La source lumineuse du phare est log\u00e9e dans un <a href=\"https:\/\/fr.wikipedia.org\/wiki\/Dod%C3%A9ca%C3%A8dre\" target=\"_blank\" rel=\"noreferrer noopener\">dod\u00e9ca\u00e8dre<\/a>. Le dod\u00e9ca\u00e8dre peut \u00eatre consid\u00e9r\u00e9 comme une r\u00e9f\u00e9rence \u00e0 la sym\u00e9trie pentagonale pr\u00e9sente dans la boulangerie voisine. Mais il poss\u00e8de \u00e9galement des propri\u00e9t\u00e9s math\u00e9matiques tr\u00e8s particuli\u00e8res qui le distinguent des <a href=\"https:\/\/fr.wikipedia.org\/wiki\/Solide_de_Platon\">poly\u00e8dres de Platon<\/a>. Il est donc appropri\u00e9 de choisir ce poly\u00e8dre pour le b\u00e2timent qui s\u2019\u00e9l\u00e8ve au-dessus du reste de l\u2019installation.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"1024\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/fresnel-lens-dodecahedron-lighthouse-mathemalchemy-art-installation.jpg?resize=768%2C1024&#038;ssl=1\" alt=\"\" class=\"wp-image-5436\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/fresnel-lens-dodecahedron-lighthouse-mathemalchemy-art-installation.jpg?resize=768%2C1024&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/fresnel-lens-dodecahedron-lighthouse-mathemalchemy-art-installation.jpg?resize=225%2C300&amp;ssl=1 225w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/fresnel-lens-dodecahedron-lighthouse-mathemalchemy-art-installation.jpg?resize=900%2C1200&amp;ssl=1 900w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/fresnel-lens-dodecahedron-lighthouse-mathemalchemy-art-installation.jpg?resize=600%2C800&amp;ssl=1 600w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/fresnel-lens-dodecahedron-lighthouse-mathemalchemy-art-installation.jpg?resize=300%2C400&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/fresnel-lens-dodecahedron-lighthouse-mathemalchemy-art-installation.jpg?resize=150%2C200&amp;ssl=1 150w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/fresnel-lens-dodecahedron-lighthouse-mathemalchemy-art-installation.jpg?w=1000&amp;ssl=1 1000w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">L\u2019une de ces propri\u00e9t\u00e9s n\u2019a \u00e9t\u00e9 d\u00e9couverte que r\u00e9cemment (<a href=\"https:\/\/www.quantamagazine.org\/mathematicians-report-new-discovery-about-the-dodecahedron-20200831\/\" target=\"_blank\" rel=\"noreferrer noopener\">voir cet article<\/a>). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Une trajectoire en ligne droite sur un poly\u00e8dre est d\u00e9finie ainsi : vous marchez tout droit sur une face, puis \u00e0 chaque croisement d\u2019ar\u00eate, vous continuez sur la nouvelle face de mani\u00e8re \u00e0 ce que les angles entre les trajectoires et les ar\u00eates soient les m\u00eames \u00e0 droite apr\u00e8s l\u2019ar\u00eate et \u00e0 gauche avant l\u2019ar\u00eate. (Vous pouvez aussi imaginer le bord commun comme une charni\u00e8re. Si on d\u00e9plie la nouvelle face autour de cette charni\u00e8re, jusqu\u2019\u00e0 ce qu\u2019elle se retrouve dans le m\u00eame plan que l\u2019ancienne face, votre trajectoire sera une ligne droite sans d\u00e9viation.) Si vous marchez en ligne droite sur un solide de Platon diff\u00e9rent du dod\u00e9ca\u00e8dre, en partant d\u2019un sommet et en cherchant \u00e0 revenir \u00e0 ce m\u00eame sommet, vous passerez toujours par un autre sommet avant de revenir \u00e0 votre point de d\u00e9part. Jaydev Athreya, David Aulicino et Patrick Hooper ont con\u00e7u des exemples et ont r\u00e9pertori\u00e9 les trajectoires rectilignes qui \u00e9vitent d\u2019autres sommets. La ligne s\u00e9parant le jaune du rouge sur le dod\u00e9ca\u00e8dre du Phare correspond \u00e0 l\u2019une des trajectoires droites qu\u2019ils ont construites.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"900\" height=\"507\" src=\"https:\/\/www.youtube.com\/embed\/DwdGau6jIqs?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=fr-FR&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\">Vid\u00e9o en version originale (langue anglaise).<\/p>\n<\/div><\/details><\/div>\n\n\n\n<div class=\"wp-block-coblocks-accordion-item\"><details><summary class=\"wp-block-coblocks-accordion-item__title has-background has-text-color has-primary-color\" style=\"background-color:#f4a811\">Projection st\u00e9r\u00e9ographique<\/summary><div class=\"wp-block-coblocks-accordion-item__content\" style=\"border-color:#f4a811\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-7387b849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\" id=\"stereographic-projection\">La projection sur le plafond d\u2019un autre faisceau lumineux est un exemple de <a href=\"https:\/\/fr.wikipedia.org\/wiki\/Projection_st%C3%A9r%C3%A9ographique\" target=\"_blank\" rel=\"noreferrer noopener\">projection st\u00e9r\u00e9ographique<\/a>: en haut du phare, une source lumineuse plac\u00e9e au point le plus bas de la sph\u00e8re projette les motifs de la sph\u00e8re sur le plafond (horizontal).<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-jetpack-slideshow aligncenter\" data-effect=\"slide\"><div class=\"wp-block-jetpack-slideshow_container swiper-container\"><ul class=\"wp-block-jetpack-slideshow_swiper-wrapper swiper-wrapper\"><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"900\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-5448\" data-id=\"5448\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?resize=900%2C900&#038;ssl=1\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?w=1256&amp;ssl=1 1256w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?resize=1024%2C1024&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?resize=1200%2C1200&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?resize=800%2C800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?resize=400%2C400&amp;ssl=1 400w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-lighthouse-mathemalchemy-art-installation.jpg?resize=200%2C200&amp;ssl=1 200w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"900\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-5447\" data-id=\"5447\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?resize=900%2C900&#038;ssl=1\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?w=1256&amp;ssl=1 1256w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?resize=1024%2C1024&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?resize=1200%2C1200&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?resize=800%2C800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?resize=400%2C400&amp;ssl=1 400w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/stereographic-projection-henry-segerman-lighthouse-mathemalchemy-art-installation.jpg?resize=200%2C200&amp;ssl=1 200w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><\/figure><\/li><\/ul><a class=\"wp-block-jetpack-slideshow_button-prev swiper-button-prev swiper-button-white\" role=\"button\"><\/a><a class=\"wp-block-jetpack-slideshow_button-next swiper-button-next swiper-button-white\" role=\"button\"><\/a><a aria-label=\"Pause Slideshow\" class=\"wp-block-jetpack-slideshow_button-pause\" role=\"button\"><\/a><div class=\"wp-block-jetpack-slideshow_pagination swiper-pagination swiper-pagination-white\"><\/div><\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-core-columns-is-layout-7387b849 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<figure class=\"wp-block-image size-medium\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"222\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/05\/henry-segerman-stereographic-projection.gif?resize=300%2C222&#038;ssl=1\" alt=\"Henry Segerman, Projection st\u00e9r\u00e9ographique\" class=\"wp-image-2583\"\/><\/figure>\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<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"900\" height=\"507\" src=\"https:\/\/www.youtube.com\/embed\/8QQywzbGAU8?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=fr-FR&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><figcaption class=\"wp-element-caption\">Vid\u00e9o d&rsquo;Henry Segerman expliquant la projection st\u00e9r\u00e9ographique de Mathemalchemy<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">La projection st\u00e9r\u00e9ographique fait partie d&rsquo;un groupe fascinant de transformations, appel\u00e9es les <a href=\"https:\/\/fr.wikipedia.org\/wiki\/Transformation_conforme\" target=\"_blank\" rel=\"noreferrer noopener\"><em>transformations conformes<\/em><\/a>, qui sont des transformations g\u00e9om\u00e9triques qui pr\u00e9servent les angles (mais pas les longueurs). Voici un exemple amusant de projection st\u00e9r\u00e9ographique dans une vid\u00e9o math\u00e9matique.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"900\" height=\"507\" src=\"https:\/\/www.youtube.com\/embed\/0z1fIsUNhO4?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=fr-FR&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Une autre transformation conforme bien connue est la <a href=\"https:\/\/fr.wikipedia.org\/wiki\/Projection_de_Mercator\" target=\"_blank\" rel=\"noreferrer noopener\">projection de Mercator<\/a>, utilis\u00e9e dans de nombreuses cartes g\u00e9ographiques.<\/p>\n<\/div><\/details><\/div>\n<\/div>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-left has-primary-color has-text-color has-huge-font-size\" id=\"read-more-about-the-ball-arches-1\">En savoir plus sur le phare<\/h3>\n\n\n<div class=\"wp-block-newspack-blocks-carousel slides-per-view-2 wpnbpc\" id=\"wp-block-newspack-carousel__1\" data-current-post-id=10764 data-slides-per-view=2 data-slide-count=6 data-aspect-ratio=0.75><div class=\"swiper\"><div class=\"swiper-wrapper\">\n\t\t\t<article data-post-id=\"10229\" class=\"post-has-image swiper-slide tag-bronna-butler-fr tag-dodecaedre tag-emily-baker-fr tag-henry-segerman-fr tag-phare tag-projection-stereographique tag-sabetta-matsumoto-fr tag-vitrail category-fabrication-de-mathemalchemy type-post post\">\n\t\t\t\t\t\t\t\t<figure class=\"post-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/mathemalchemy.org\/fr\/2022\/06\/27\/phare-fabrication\/\" rel=\"bookmark\" tabindex=\"-1\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"736\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/06\/assembling-lighthouse-mathemalchemy-art-installation-1.jpg?fit=900%2C736&amp;ssl=1\" class=\"image-fit-cover wp-post-image\" alt=\"Phare &#8211; Fabrication\" object-fit=\"cover\" layout=\"fill\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/06\/assembling-lighthouse-mathemalchemy-art-installation-1.jpg?w=1256&amp;ssl=1 1256w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/06\/assembling-lighthouse-mathemalchemy-art-installation-1.jpg?resize=300%2C245&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/06\/assembling-lighthouse-mathemalchemy-art-installation-1.jpg?resize=1024%2C837&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/06\/assembling-lighthouse-mathemalchemy-art-installation-1.jpg?resize=768%2C628&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/06\/assembling-lighthouse-mathemalchemy-art-installation-1.jpg?resize=1200%2C981&amp;ssl=1 1200w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" data-attachment-id=\"10097\" data-permalink=\"https:\/\/mathemalchemy.org\/fr\/assembling-lighthouse-mathemalchemy-art-installation-1-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/06\/assembling-lighthouse-mathemalchemy-art-installation-1.jpg?fit=1256%2C1027&amp;ssl=1\" data-orig-size=\"1256,1027\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"assembling-lighthouse-mathemalchemy-art-installation-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/06\/assembling-lighthouse-mathemalchemy-art-installation-1.jpg?fit=900%2C736&amp;ssl=1\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/figure>\n\n\t\t\t\t\t\t\t\t\t<div class=\"entry-wrapper\">\n\t\t\t\t\t\t<h3 class=\"entry-title\"><a href=\"https:\/\/mathemalchemy.org\/fr\/2022\/06\/27\/phare-fabrication\/\" rel=\"bookmark\">Phare &#8211; Fabrication<\/a><\/h3>\n\t\t\t\t\t\t<div class=\"entry-meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div><!-- .entry-meta -->\n\t\t\t\t\t<\/div><!-- .entry-wrapper -->\n\t\t\t\t\t\t\t<\/article>\n\t\t\t\n\t\t\t<article data-post-id=\"10737\" class=\"post-has-image swiper-slide tag-balise tag-murale tag-phare category-contes-de-mathemalchemy type-post post\">\n\t\t\t\t\t\t\t\t<figure class=\"post-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/mathemalchemy.org\/fr\/2022\/01\/12\/phare-a-travers-le-miroir-mathemalchimique\/\" rel=\"bookmark\" tabindex=\"-1\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"900\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?fit=900%2C900&amp;ssl=1\" class=\"image-fit-cover wp-post-image\" alt=\"Phare &#8211; \u00c0 travers le miroir Math\u00e9mAlchimique\" object-fit=\"cover\" layout=\"fill\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?w=1200&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=1024%2C1024&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=800%2C800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=400%2C400&amp;ssl=1 400w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?resize=200%2C200&amp;ssl=1 200w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" data-attachment-id=\"9461\" data-permalink=\"https:\/\/mathemalchemy.org\/fr\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?fit=1200%2C1200&amp;ssl=1\" data-orig-size=\"1200,1200\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"puffin-keepers-lighthouse-story-mathemalchemy-art-installation\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/puffin-keepers-lighthouse-story-mathemalchemy-art-installation.jpg?fit=900%2C900&amp;ssl=1\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/figure>\n\n\t\t\t\t\t\t\t\t\t<div class=\"entry-wrapper\">\n\t\t\t\t\t\t<h3 class=\"entry-title\"><a href=\"https:\/\/mathemalchemy.org\/fr\/2022\/01\/12\/phare-a-travers-le-miroir-mathemalchimique\/\" rel=\"bookmark\">Phare &#8211; \u00c0 travers le miroir Math\u00e9mAlchimique<\/a><\/h3>\n\t\t\t\t\t\t<div class=\"entry-meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div><!-- .entry-meta -->\n\t\t\t\t\t<\/div><!-- .entry-wrapper -->\n\t\t\t\t\t\t\t<\/article>\n\t\t\t\n\t\t\t<article data-post-id=\"10921\" class=\"post-has-image swiper-slide tag-dodecaedre tag-gps-fr tag-heptagone tag-lentilles-de-fresnel tag-phare tag-projection-stereographique tag-trajectoire-dodecaedrique category-concepts-math-de-mathemalchemy category-connections-mathematiques-de-mathemalchemy type-post post\">\n\t\t\t\t\t\t\t\t<figure class=\"post-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/mathemalchemy.org\/fr\/2022\/01\/11\/phare-connexions-mathematiques\/\" rel=\"bookmark\" tabindex=\"-1\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"475\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?fit=900%2C475&amp;ssl=1\" class=\"image-fit-cover wp-post-image\" alt=\"Phare &#8211; Connexions math\u00e9matiques\" object-fit=\"cover\" layout=\"fill\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?w=2258&amp;ssl=1 2258w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?resize=300%2C158&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?resize=1024%2C541&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?resize=768%2C405&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?resize=1536%2C811&amp;ssl=1 1536w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?resize=2048%2C1081&amp;ssl=1 2048w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?resize=1200%2C633&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?resize=1568%2C828&amp;ssl=1 1568w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?w=1800&amp;ssl=1 1800w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" data-attachment-id=\"9728\" data-permalink=\"https:\/\/mathemalchemy.org\/fr\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?fit=2258%2C1192&amp;ssl=1\" data-orig-size=\"2258,1192\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/lighthouse-fresnel-stereographic-projection-mathemalchemy-art-installation.jpg?fit=900%2C475&amp;ssl=1\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/figure>\n\n\t\t\t\t\t\t\t\t\t<div class=\"entry-wrapper\">\n\t\t\t\t\t\t<h3 class=\"entry-title\"><a href=\"https:\/\/mathemalchemy.org\/fr\/2022\/01\/11\/phare-connexions-mathematiques\/\" rel=\"bookmark\">Phare &#8211; Connexions math\u00e9matiques<\/a><\/h3>\n\t\t\t\t\t\t<div class=\"entry-meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div><!-- .entry-meta -->\n\t\t\t\t\t<\/div><!-- .entry-wrapper -->\n\t\t\t\t\t\t\t<\/article>\n\t\t\t\n\t\t\t<article data-post-id=\"10735\" class=\"post-has-image swiper-slide tag-carte tag-impression-3d-fr tag-la-lumiere tag-phare tag-projection-stereographique category-mathemalchemy-en-theories type-post post\">\n\t\t\t\t\t\t\t\t<figure class=\"post-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/mathemalchemy.org\/fr\/2021\/05\/01\/lumiere-sur-les-projections-stereographiques\/\" rel=\"bookmark\" tabindex=\"-1\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"663\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/04\/stereographic-projection-mathemalchemy-art-project.jpg?fit=900%2C663&amp;ssl=1\" class=\"image-fit-cover wp-post-image\" alt=\"Lumi\u00e8re sur&#8230; les projections st\u00e9r\u00e9ographiques\" object-fit=\"cover\" layout=\"fill\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/04\/stereographic-projection-mathemalchemy-art-project.jpg?w=1000&amp;ssl=1 1000w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/04\/stereographic-projection-mathemalchemy-art-project.jpg?resize=300%2C221&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/04\/stereographic-projection-mathemalchemy-art-project.jpg?resize=768%2C566&amp;ssl=1 768w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" data-attachment-id=\"9220\" data-permalink=\"https:\/\/mathemalchemy.org\/fr\/stereographic-projection-mathemalchemy-art-project-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/04\/stereographic-projection-mathemalchemy-art-project.jpg?fit=1000%2C737&amp;ssl=1\" data-orig-size=\"1000,737\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"stereographic-projection-mathemalchemy-art-project\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/04\/stereographic-projection-mathemalchemy-art-project.jpg?fit=900%2C663&amp;ssl=1\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/figure>\n\n\t\t\t\t\t\t\t\t\t<div class=\"entry-wrapper\">\n\t\t\t\t\t\t<h3 class=\"entry-title\"><a href=\"https:\/\/mathemalchemy.org\/fr\/2021\/05\/01\/lumiere-sur-les-projections-stereographiques\/\" rel=\"bookmark\">Lumi\u00e8re sur&#8230; les projections st\u00e9r\u00e9ographiques<\/a><\/h3>\n\t\t\t\t\t\t<div class=\"entry-meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div><!-- .entry-meta -->\n\t\t\t\t\t<\/div><!-- .entry-wrapper -->\n\t\t\t\t\t\t\t<\/article>\n\t\t\t\n\t\t\t<article data-post-id=\"10900\" class=\"post-has-image swiper-slide tag-balise tag-bronna-butler-fr tag-dodecaedre tag-lentilles-led tag-phare tag-sabetta-matsumoto-fr tag-trajectoire-dodecaedrique tag-vitrail category-mathemalchemy-en-theories type-post post\">\n\t\t\t\t\t\t\t\t<figure class=\"post-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/\" rel=\"bookmark\" tabindex=\"-1\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"506\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=900%2C506&amp;ssl=1\" class=\"image-fit-cover wp-post-image\" alt=\"Trajectoire dod\u00e9ca\u00e9drique\" object-fit=\"cover\" layout=\"fill\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?w=1280&amp;ssl=1 1280w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?resize=300%2C169&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?resize=1024%2C576&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?resize=768%2C432&amp;ssl=1 768w, 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data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=900%2C506&amp;ssl=1\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/figure>\n\n\t\t\t\t\t\t\t\t\t<div class=\"entry-wrapper\">\n\t\t\t\t\t\t<h3 class=\"entry-title\"><a href=\"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/\" rel=\"bookmark\">Trajectoire dod\u00e9ca\u00e9drique<\/a><\/h3>\n\t\t\t\t\t\t<div class=\"entry-meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div><!-- .entry-meta -->\n\t\t\t\t\t<\/div><!-- .entry-wrapper -->\n\t\t\t\t\t\t\t<\/article>\n\t\t\t\n\t\t\t<article data-post-id=\"10764\" class=\"post-has-image swiper-slide tag-chronique-video tag-dominique-ehrmann-fr tag-integration-de-riemann tag-maquette-fr tag-phare tag-processus-de-creation tag-scene-nautique category-realisation-de-mathemalchemy type-post post\">\n\t\t\t\t\t\t\t\t<figure class=\"post-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/mathemalchemy.org\/fr\/2020\/11\/12\/processus-de-creation-de-la-maquette\/\" rel=\"bookmark\" tabindex=\"-1\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"499\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/tour-67-e1601858479125.jpg?fit=900%2C499&amp;ssl=1\" class=\"image-fit-cover 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data-permalink=\"https:\/\/mathemalchemy.org\/fr\/mathemalchemy-360-tour-67-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/tour-67-e1601858479125.jpg?fit=1564%2C868&amp;ssl=1\" data-orig-size=\"1564,868\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;5.6&quot;,&quot;credit&quot;:&quot;Mathemalchemy&quot;,&quot;camera&quot;:&quot;Canon EOS DIGITAL REBEL XSi&quot;,&quot;caption&quot;:&quot;Mathemalchemy-360-tour&quot;,&quot;created_timestamp&quot;:&quot;1598886071&quot;,&quot;copyright&quot;:&quot;This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License&quot;,&quot;focal_length&quot;:&quot;18&quot;,&quot;iso&quot;:&quot;100&quot;,&quot;shutter_speed&quot;:&quot;0.125&quot;,&quot;title&quot;:&quot;Mathemalchemy-360-tour&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"Mathemalchemy-360-tour\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Mathemalchemy&amp;rsquo;s final maquette&lt;\/p&gt;\n\" data-large-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/tour-67-e1601858479125.jpg?fit=900%2C499&amp;ssl=1\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/figure>\n\n\t\t\t\t\t\t\t\t\t<div class=\"entry-wrapper\">\n\t\t\t\t\t\t<h3 class=\"entry-title\"><a href=\"https:\/\/mathemalchemy.org\/fr\/2020\/11\/12\/processus-de-creation-de-la-maquette\/\" rel=\"bookmark\">Processus de cr\u00e9ation de la Maquette<\/a><\/h3>\n\t\t\t\t\t\t<div class=\"entry-meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div><!-- .entry-meta -->\n\t\t\t\t\t<\/div><!-- .entry-wrapper -->\n\t\t\t\t\t\t\t<\/article>\n\t\t\t<\/div><button class=\"swiper-button swiper-button-prev\" aria-label=\"Diapositive pr\u00e9c\u00e9dente\" ><\/button><button class=\"swiper-button swiper-button-next\" aria-label=\"Diapositive suivante\" ><\/button><\/div><div class=\"swiper-pagination-bullets\" ><button 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is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading has-text-align-right has-large-font-size\" id=\"next-mathematical-connections-in-the-mural\"><a href=\"https:\/\/mathemalchemy.org\/fr\/2022\/01\/11\/graffiti-connexions-mathematiques\/\">Suivant : Connexions math\u00e9matiques du graffiti<\/a><\/h2>\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<figure class=\"wp-block-image size-full is-style-default coblocks-animate\" data-coblocks-animation=\"slideInRight\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"791\" height=\"581\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/02\/mural-mathemalchemy-art-installation.jpg?resize=791%2C581&#038;ssl=1\" alt=\"\" class=\"wp-image-5908\" title=\"ic\u00f4ne-Mathemalchemy\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/02\/mural-mathemalchemy-art-installation.jpg?w=791&amp;ssl=1 791w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/02\/mural-mathemalchemy-art-installation.jpg?resize=300%2C220&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/02\/mural-mathemalchemy-art-installation.jpg?resize=768%2C564&amp;ssl=1 768w\" sizes=\"auto, (max-width: 791px) 100vw, 791px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns alignwide are-vertically-aligned-center is-layout-flex wp-container-core-columns-is-layout-7387b849 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<p class=\"wp-block-paragraph\"><img data-recalc-dims=\"1\" decoding=\"async\" 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style=\"background-position:50% 50%;background-image:url(https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/04\/stereographic-projection-mathemalchemy-art-project.jpg)\"><\/div><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-background-color has-text-color has-large-font-size\" id=\"explore-mathematical-connections-in-other-scenes\">Explorez les liens math\u00e9matiques d&rsquo;autres sc\u00e8nes<\/h3>\n\n\n<div class=\"wp-block-newspack-blocks-carousel slides-per-view-1 wpnbpc\" id=\"wp-block-newspack-carousel__2\" data-current-post-id=10241 data-slides-per-view=1 data-slide-count=3 data-aspect-ratio=0.75><div class=\"swiper\"><div class=\"swiper-wrapper\">\n\t\t\t<article data-post-id=\"12767\" class=\"post-has-image swiper-slide tag-groupes-de-papiers-peints tag-tables-a-frises category-concepts-math-de-mathemalchemy category-connections-mathematiques-de-mathemalchemy type-post post\">\n\t\t\t\t\t\t\t\t<figure class=\"post-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/mathemalchemy.org\/fr\/2024\/05\/14\/tables-a-frises-connexions-mathematiques\/\" rel=\"bookmark\" tabindex=\"-1\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"324\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2024\/05\/Frieze_Tables_mouse.png?fit=900%2C324&amp;ssl=1\" class=\"image-fit-cover wp-post-image\" alt=\"Tables \u00e0 frises &#8211; Connexions math\u00e9matiques\" object-fit=\"cover\" layout=\"fill\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2024\/05\/Frieze_Tables_mouse.png?w=1300&amp;ssl=1 1300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2024\/05\/Frieze_Tables_mouse.png?resize=300%2C108&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2024\/05\/Frieze_Tables_mouse.png?resize=1024%2C369&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2024\/05\/Frieze_Tables_mouse.png?resize=768%2C277&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2024\/05\/Frieze_Tables_mouse.png?resize=1200%2C433&amp;ssl=1 1200w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" data-attachment-id=\"12005\" data-permalink=\"https:\/\/mathemalchemy.org\/fr\/2024\/05\/14\/tables-a-frises-connexions-mathematiques\/frieze_tables_mouse-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2024\/05\/Frieze_Tables_mouse.png?fit=1300%2C469&amp;ssl=1\" data-orig-size=\"1300,469\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Frieze_Tables_mouse\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2024\/05\/Frieze_Tables_mouse.png?fit=900%2C324&amp;ssl=1\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/figure>\n\n\t\t\t\t\t\t\t\t\t<div class=\"entry-wrapper\">\n\t\t\t\t\t\t<h3 class=\"entry-title\"><a href=\"https:\/\/mathemalchemy.org\/fr\/2024\/05\/14\/tables-a-frises-connexions-mathematiques\/\" rel=\"bookmark\">Tables \u00e0 frises &#8211; Connexions math\u00e9matiques<\/a><\/h3>\n\t\t\t\t\t\t<div class=\"entry-meta\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div><!-- .entry-meta -->\n\t\t\t\t\t<\/div><!-- .entry-wrapper -->\n\t\t\t\t\t\t\t<\/article>\n\t\t\t\n\t\t\t<article data-post-id=\"12729\" class=\"post-has-image swiper-slide tag-blockchain-fr tag-bouclier tag-chiffre-de-cesar tag-code-hamming tag-code-morse tag-courtepointe tag-courtepointe-cryptographie tag-empreinte-digitale tag-enigma-fr tag-quipu-fr tag-scytale-fr tag-tricot category-concepts-math-de-mathemalchemy category-connections-mathematiques-de-mathemalchemy type-post post\">\n\t\t\t\t\t\t\t\t<figure class=\"post-thumbnail\">\n\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/mathemalchemy.org\/fr\/2023\/11\/07\/petite-courtepointe-cryptographique-connexions-mathematiques\/\" rel=\"bookmark\" tabindex=\"-1\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"900\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2023\/01\/cryptography-quilt-boston-mathemalchemy-math-art-installation.jpg?fit=900%2C900&amp;ssl=1\" class=\"image-fit-cover wp-post-image\" alt=\"Petite courtepointe cryptographique &#8211; Connexions math\u00e9matiques\" object-fit=\"cover\" layout=\"fill\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2023\/01\/cryptography-quilt-boston-mathemalchemy-math-art-installation.jpg?w=1256&amp;ssl=1 1256w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2023\/01\/cryptography-quilt-boston-mathemalchemy-math-art-installation.jpg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2023\/01\/cryptography-quilt-boston-mathemalchemy-math-art-installation.jpg?resize=1024%2C1024&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2023\/01\/cryptography-quilt-boston-mathemalchemy-math-art-installation.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2023\/01\/cryptography-quilt-boston-mathemalchemy-math-art-installation.jpg?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2023\/01\/cryptography-quilt-boston-mathemalchemy-math-art-installation.jpg?resize=1200%2C1200&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2023\/01\/cryptography-quilt-boston-mathemalchemy-math-art-installation.jpg?resize=800%2C800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2023\/01\/cryptography-quilt-boston-mathemalchemy-math-art-installation.jpg?resize=400%2C400&amp;ssl=1 400w, 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class=\"image-fit-cover wp-post-image\" alt=\"Courtepointe cryptographique &#8211; Connexions math\u00e9matiques\" object-fit=\"cover\" layout=\"fill\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/central-padlock-cryptography-quilt-mathemalchemy-art-installation.jpg?w=1256&amp;ssl=1 1256w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/central-padlock-cryptography-quilt-mathemalchemy-art-installation.jpg?resize=300%2C294&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/central-padlock-cryptography-quilt-mathemalchemy-art-installation.jpg?resize=1024%2C1002&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/central-padlock-cryptography-quilt-mathemalchemy-art-installation.jpg?resize=768%2C751&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/central-padlock-cryptography-quilt-mathemalchemy-art-installation.jpg?resize=1200%2C1174&amp;ssl=1 1200w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" data-attachment-id=\"9656\" data-permalink=\"https:\/\/mathemalchemy.org\/fr\/central-padlock-cryptography-quilt-mathemalchemy-art-installation-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2022\/01\/central-padlock-cryptography-quilt-mathemalchemy-art-installation.jpg?fit=1256%2C1229&amp;ssl=1\" data-orig-size=\"1256,1229\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International 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