{"id":10900,"date":"2021-01-19T10:05:00","date_gmt":"2021-01-19T15:05:00","guid":{"rendered":"https:\/\/mathemalchemy.org\/?p=10900"},"modified":"2023-07-17T23:20:52","modified_gmt":"2023-07-18T03:20:52","slug":"trajectoire-dodecaedrique","status":"publish","type":"post","link":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/","title":{"rendered":"Trajectoire dod\u00e9ca\u00e9drique"},"content":{"rendered":"\n<h2 class=\"has-normal-font-size wp-block-heading\">Pr\u00e9sent\u00e9 par Bronna Butler<\/h2>\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<h2 class=\"has-large-font-size wp-block-heading\">Transcription de la vid\u00e9o Trajectoire Dod\u00e9ca\u00e9drique<\/h2>\n\n<h3 class=\"wp-block-heading\">\u00c0 propos de Bronna Butler<\/h3>\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\">\n<p>Bonjour, je m&rsquo;appelle <a href=\"https:\/\/mathemalchemy.org\/team-23-mathematicians-artists-of-mathemalchemy\/#Bronna-Butler\">Bronna Butler<\/a>. Je suis une artiste professionnelle depuis 23 ans. Je suis titulaire d&rsquo;une licence en art et d&rsquo;une ma\u00eetrise en comptabilit\u00e9\/finance de l&rsquo;universit\u00e9 du Missouri. Je travaille le vitrail, la peinture \u00e0 l&rsquo;huile et le pastel, le graphite, l&rsquo;acier inoxydable et je me suis mise depuis peu \u00e0 l&rsquo;\u00e9lectronique. J&rsquo;ai con\u00e7u et peint plus de <a href=\"https:\/\/www.bronnabutler.com\/projects.html\" target=\"_blank\" rel=\"noreferrer noopener\">900 m\u00e8tres carr\u00e9s de vitraux<\/a> dans divers b\u00e2timents. J&rsquo;ai con\u00e7u et g\u00e9r\u00e9 la fabrication et l&rsquo;installation d&rsquo;un monument en acier inoxydable de 20 pieds de haut, comportant 4 panneaux en titane color\u00e9 orn\u00e9s de photomontages. J&rsquo;ai aussi peint, sur commande, des centaines de peintures \u00e0 l&rsquo;huile et au pastel de toutes tailles, la plus grande mesurant 8 x 12 pieds, et que j&rsquo;ai peinte debout sur un \u00e9chafaudage.<\/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=\"900\" height=\"900\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/bronna-butler-mathmalchemy-art-project-collaboration-mathematics.jpg?resize=900%2C900&#038;ssl=1\" alt=\"Bronna Butler\" class=\"wp-image-490\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/bronna-butler-mathmalchemy-art-project-collaboration-mathematics.jpg?w=900&amp;ssl=1 900w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/bronna-butler-mathmalchemy-art-project-collaboration-mathematics.jpg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/bronna-butler-mathmalchemy-art-project-collaboration-mathematics.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/bronna-butler-mathmalchemy-art-project-collaboration-mathematics.jpg?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/bronna-butler-mathmalchemy-art-project-collaboration-mathematics.jpg?resize=800%2C800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/bronna-butler-mathmalchemy-art-project-collaboration-mathematics.jpg?resize=400%2C400&amp;ssl=1 400w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/bronna-butler-mathmalchemy-art-project-collaboration-mathematics.jpg?resize=200%2C200&amp;ssl=1 200w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><figcaption>Bronna Butler &#8211; Portrait par Pat Paul Photography \u00a9 2019<\/figcaption><\/figure><\/div>\n<\/div>\n\n<p>Depuis 2015, ma muse, ce sont les math\u00e9matiques. Mes <a href=\"https:\/\/www.bronnabutler.com\/home.html\" target=\"_blank\" rel=\"noreferrer noopener\">travaux actuels<\/a> portent sur les math\u00e9matiques r\u00e9cr\u00e9atives, les puzzles, les \u00e9nigmes et les illusions d&rsquo;optique, mais aussi sur les math\u00e9matiques et la science en g\u00e9n\u00e9ral.<\/p>\n\n<h3 class=\"wp-block-heading\">L&rsquo;aventure Mathemalchemy commence<\/h3>\n\n<p>\u00c0 partir de f\u00e9vrier 2020, j&rsquo;ai eu la merveilleuse opportunit\u00e9 de collaborer avec une <a href=\"https:\/\/mathemalchemy.org\/team-23-mathematicians-artists-of-mathemalchemy\/\">\u00e9quipe de 23 artistes math\u00e9maticiens et math\u00e9maticiens d&rsquo;art<\/a> qui ont cr\u00e9\u00e9 une grande installation artistique multim\u00e9dia : Math\u00e9malchemy. Elle met en avant la cr\u00e9ativit\u00e9 et la beaut\u00e9 des math\u00e9matiques. C&rsquo;est la vision de la math\u00e9maticienne et physicienne <a href=\"https:\/\/mathemalchemy.org\/team-23-mathematicians-artists-of-mathemalchemy\/#Ingrid-Daubechies\">Ingrid Daubechies<\/a>. Avec l&rsquo;aide de l&rsquo;artiste <a href=\"https:\/\/mathemalchemy.org\/team-23-mathematicians-artists-of-mathemalchemy\/#Dominique-Ehrmann\">Dominique Ehrmann<\/a>, Ingrid a dirig\u00e9 la collaboration autour de l&rsquo;installation pendant les dix derniers mois, via Zoom. Apr\u00e8s son ach\u00e8vement en 2021, elle sera install\u00e9e dans divers mus\u00e9es et autres lieux, puis de mani\u00e8re permanente dans le nouveau b\u00e2timent de math\u00e9matiques de l&rsquo;<a href=\"https:\/\/www.duke.edu\/\" target=\"_blank\" rel=\"noreferrer noopener\">universit\u00e9 Duke<\/a>, dont la construction est pr\u00e9vue. L&rsquo;installation comprend un phare en acier inoxydable de 7,5 pieds de haut, qui reposera sur une base de 2 pieds. J&rsquo;ai fabriqu\u00e9 la lanterne dod\u00e9ca\u00e9drique en vitrail.<\/p>\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\">\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:9.925966893905269%\"><figure class=\"tiled-gallery__item\"><img decoding=\"async\" role=\"button\" tabindex=\"0\" aria-label=\"Ouvrir l\u2019image 1 sur 4 en plein \u00e9cran\"srcset=\"https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-sabetta-matsumoto-mathemalchemy-art-project-1.jpg?strip=info&#038;w=600&#038;ssl=1 600w,https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-sabetta-matsumoto-mathemalchemy-art-project-1.jpg?strip=info&#038;w=752&#038;ssl=1 752w\" alt=\"\" data-height=\"1574\" data-id=\"1691\" data-link=\"https:\/\/mathemalchemy.org\/?attachment_id=1691\" data-url=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-sabetta-matsumoto-mathemalchemy-art-project-1.jpg\" data-width=\"752\" src=\"https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-sabetta-matsumoto-mathemalchemy-art-project-1.jpg?ssl=1\" layout=\"responsive\"><\/figure><\/div><div class=\"tiled-gallery__col\" style=\"flex-basis:90.07403310609472%\"><figure class=\"tiled-gallery__item\"><img decoding=\"async\" role=\"button\" tabindex=\"0\" aria-label=\"Ouvrir l\u2019image 2 sur 4 en plein \u00e9cran\"srcset=\"https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-beacon-sabetta-matsumoto-bronna-butler-mathemalchemy-art-project.jpg?strip=info&#038;w=600&#038;ssl=1 600w,https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-beacon-sabetta-matsumoto-bronna-butler-mathemalchemy-art-project.jpg?strip=info&#038;w=900&#038;ssl=1 900w\" alt=\"\" data-height=\"751\" data-id=\"1693\" data-link=\"https:\/\/mathemalchemy.org\/?attachment_id=1693\" data-url=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-beacon-sabetta-matsumoto-bronna-butler-mathemalchemy-art-project.jpg\" data-width=\"900\" src=\"https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/lighthouse-beacon-sabetta-matsumoto-bronna-butler-mathemalchemy-art-project.jpg?ssl=1\" layout=\"responsive\"><\/figure><figure class=\"tiled-gallery__item\"><img decoding=\"async\" role=\"button\" tabindex=\"0\" aria-label=\"Ouvrir l\u2019image 3 sur 4 en plein \u00e9cran\"srcset=\"https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecadron-over-led-light-beacon-bronna-butler-mathemalchemy-art-project.jpg?strip=info&#038;w=600&#038;ssl=1 600w,https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecadron-over-led-light-beacon-bronna-butler-mathemalchemy-art-project.jpg?strip=info&#038;w=900&#038;ssl=1 900w\" alt=\"\" data-height=\"731\" data-id=\"1695\" data-link=\"https:\/\/mathemalchemy.org\/?attachment_id=1695\" data-url=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecadron-over-led-light-beacon-bronna-butler-mathemalchemy-art-project.jpg\" data-width=\"900\" src=\"https:\/\/i1.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecadron-over-led-light-beacon-bronna-butler-mathemalchemy-art-project.jpg?ssl=1\" layout=\"responsive\"><\/figure><figure class=\"tiled-gallery__item\"><img decoding=\"async\" role=\"button\" tabindex=\"0\" aria-label=\"Ouvrir l\u2019image 4 sur 4 en plein \u00e9cran\"srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/fresnel-lenses-dodecahedron-bronna-butler-mathemalchemy-art-project.jpg?strip=info&#038;w=600&#038;ssl=1 600w,https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/fresnel-lenses-dodecahedron-bronna-butler-mathemalchemy-art-project.jpg?strip=info&#038;w=900&#038;ssl=1 900w\" alt=\"\" data-height=\"588\" data-id=\"1697\" data-link=\"https:\/\/mathemalchemy.org\/?attachment_id=1697\" data-url=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/fresnel-lenses-dodecahedron-bronna-butler-mathemalchemy-art-project.jpg\" data-width=\"900\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/fresnel-lenses-dodecahedron-bronna-butler-mathemalchemy-art-project.jpg?ssl=1\" layout=\"responsive\"><\/figure><\/div><\/div><\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Le phare en acier inoxydable a \u00e9t\u00e9 con\u00e7u par la physicienne <a href=\"https:\/\/mathemalchemy.org\/team-23-mathematicians-artists-of-mathemalchemy\/#Sabetta-Matsumoto\">Sabetta Matsumoto<\/a> et sera plac\u00e9 \u00e0 l&rsquo;une des extr\u00e9mit\u00e9s de l&rsquo;installation.<\/p>\n\n\n\n<p>Comme un vrai phare, la lanterne dod\u00e9ca\u00e9drique sera \u00e9quip\u00e9e de lentilles de Fresnel pour focaliser la lumi\u00e8re, dans ce cas-ci provenant d&rsquo;une LED, montr\u00e9e ici sur notre \u00e9tabli.<\/p>\n\n\n\n<p>Le dod\u00e9ca\u00e8dre en verre se place au-dessus des lentilles et de la LED.<\/p>\n<\/div>\n<\/div>\n\n<p><\/p>\n\n<h3 class=\"wp-block-heading\">Une d\u00e9couverte inspirante sur le dod\u00e9ca\u00e8dre<\/h3>\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\">\n<p>En septembre, Ingrid a pr\u00e9sent\u00e9 au groupe <a href=\"https:\/\/www.quantamagazine.org\/mathematicians-report-new-discovery-about-the-dodecahedron-20200831\/\" target=\"_blank\" rel=\"noreferrer noopener\">un article dans le magazine \u00ab\u00a0Quanta\u00a0\u00bb<\/a> relatant la d\u00e9couverte d&rsquo;une nouvelle propri\u00e9t\u00e9 du dod\u00e9ca\u00e8dre.<a href=\"https:\/\/www.maa.org\/press\/periodicals\/american-mathematical-monthly\" target=\"_blank\" rel=\"noreferrer noopener\">Le journal \u00ab\u00a0American Mathematical Monthly\u00a0\u00bb<\/a>avait publi\u00e9 la preuve des math\u00e9maticiens Jayadev Athreya et David Aulicino, qu&rsquo;il existe une trajectoire g\u00e9od\u00e9sique sur le dod\u00e9ca\u00e8dre, d&rsquo;un sommet \u00e0 lui-m\u00eame, qui ne passe par aucun autre sommet. <\/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-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\/G9_l8QASobI?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 style=\"font-size:11px\">Jayadev Athreya explique la nouvelle d\u00e9couverte sur les dod\u00e9ca\u00e8dres dans Numberphile.<\/p>\n<\/div>\n<\/div>\n\n<p>Cela peut \u00eatre illustr\u00e9 par le patron des faces pentagonales du dod\u00e9ca\u00e8dre. Le groupe s&rsquo;occupant du \u00ab\u00a0phare\u00a0\u00bb a \u00e9t\u00e9 unanime, la lanterne dod\u00e9ca\u00e9drique de l&rsquo;installation doit \u00ab\u00a0refl\u00e9ter\u00a0\u00bb cette d\u00e9couverte.<\/p>\n\n<div class=\"wp-block-jetpack-slideshow aligncenter\" data-autoplay=\"true\" data-delay=\"5\" 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=\"860\" height=\"490\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1713\" data-id=\"1713\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedron-net-bronna-butler-mathemalchemy-art-project-1.jpg?resize=860%2C490&#038;ssl=1\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedron-net-bronna-butler-mathemalchemy-art-project-1.jpg?w=860&amp;ssl=1 860w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedron-net-bronna-butler-mathemalchemy-art-project-1.jpg?resize=300%2C171&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedron-net-bronna-butler-mathemalchemy-art-project-1.jpg?resize=768%2C438&amp;ssl=1 768w\" sizes=\"(max-width: 860px) 100vw, 860px\" \/><figcaption class=\"wp-block-jetpack-slideshow_caption gallery-caption\">J&rsquo;ai t\u00e9l\u00e9charg\u00e9 le sch\u00e9ma pr\u00e9sent\u00e9 dans l&rsquo;article de Quanta pour l&rsquo;utiliser comme mod\u00e8le.<\/figcaption><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"860\" height=\"490\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1714\" data-id=\"1714\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedron-net-white-area-bronna-butler-mathemalchemy-art-project-1.jpg?resize=860%2C490&#038;ssl=1\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedron-net-white-area-bronna-butler-mathemalchemy-art-project-1.jpg?w=860&amp;ssl=1 860w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedron-net-white-area-bronna-butler-mathemalchemy-art-project-1.jpg?resize=300%2C171&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedron-net-white-area-bronna-butler-mathemalchemy-art-project-1.jpg?resize=768%2C438&amp;ssl=1 768w\" sizes=\"(max-width: 860px) 100vw, 860px\" \/><figcaption class=\"wp-block-jetpack-slideshow_caption gallery-caption\">Toujours en noir et blanc, j&rsquo;ai \u00e9clairci les zones des faces pentagonales d&rsquo;un c\u00f4t\u00e9 de la ligne.<\/figcaption><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"509\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1705\" data-id=\"1705\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/stained-glass-dodecahedral-trajectory-bronna-butler-mathemalchemy-art-project.jpg?resize=900%2C509&#038;ssl=1\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/stained-glass-dodecahedral-trajectory-bronna-butler-mathemalchemy-art-project.jpg?w=1000&amp;ssl=1 1000w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/stained-glass-dodecahedral-trajectory-bronna-butler-mathemalchemy-art-project.jpg?resize=300%2C170&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/stained-glass-dodecahedral-trajectory-bronna-butler-mathemalchemy-art-project.jpg?resize=768%2C434&amp;ssl=1 768w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><figcaption class=\"wp-block-jetpack-slideshow_caption gallery-caption\">J&rsquo;ai cr\u00e9\u00e9 des motifs \u00e0 partir du mod\u00e8le, je les ai dessin\u00e9s sur du vitrail que j&rsquo;ai ensuite d\u00e9coup\u00e9. Voici le r\u00e9sultat sur ma table lumineuse.<\/figcaption><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"425\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1707\" data-id=\"1707\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/paper-dodecahedron-bronna-buthler-mathemalchemy-art-project.jpg?resize=900%2C425&#038;ssl=1\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/paper-dodecahedron-bronna-buthler-mathemalchemy-art-project.jpg?resize=1024%2C484&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/paper-dodecahedron-bronna-buthler-mathemalchemy-art-project.jpg?resize=300%2C142&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/paper-dodecahedron-bronna-buthler-mathemalchemy-art-project.jpg?resize=768%2C363&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/paper-dodecahedron-bronna-buthler-mathemalchemy-art-project.jpg?resize=1200%2C567&amp;ssl=1 1200w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/paper-dodecahedron-bronna-buthler-mathemalchemy-art-project.jpg?w=1270&amp;ssl=1 1270w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><figcaption class=\"wp-block-jetpack-slideshow_caption gallery-caption\">J&rsquo;ai ensuite construit un mod\u00e8le en papier qui \u00e9tait visuellement int\u00e9ressant.<\/figcaption><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"509\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1717\" data-id=\"1717\" src=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/stained-glass-piece-dodecahedron-bronna-butler-mathemalchemy-art-project.jpg?resize=900%2C509&#038;ssl=1\" srcset=\"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/stained-glass-piece-dodecahedron-bronna-butler-mathemalchemy-art-project.jpg?resize=1024%2C579&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/stained-glass-piece-dodecahedron-bronna-butler-mathemalchemy-art-project.jpg?resize=300%2C170&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/stained-glass-piece-dodecahedron-bronna-butler-mathemalchemy-art-project.jpg?resize=768%2C435&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/stained-glass-piece-dodecahedron-bronna-butler-mathemalchemy-art-project.jpg?w=1200&amp;ssl=1 1200w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><figcaption class=\"wp-block-jetpack-slideshow_caption gallery-caption\">Les ast\u00e9risques sur cette image du vitrail montrent comment les deux extr\u00e9mit\u00e9s de la ligne, et les deux sommets, se rejoindront lorsque le dod\u00e9ca\u00e8dre sera construit.<\/figcaption><\/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<p><\/p>\n\n<p>Athreya et Aulicino, rejoints par le math\u00e9maticien Patrick Hooper, ont d\u00e9termin\u00e9 qu&rsquo;un nombre infini de tels chemins existe sur le dod\u00e9ca\u00e8dre. <a href=\"https:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/10586458.2020.1712564\" target=\"_blank\" rel=\"noreferrer noopener\">Leur article<\/a>, publi\u00e9 en mai 2020 dans \u00ab\u00a0Experimental Mathematics\u00a0\u00bb, montre que ces chemins peuvent \u00eatre divis\u00e9s en 31 familles naturelles.<\/p>\n\n<p>La balise sera plac\u00e9 \u00e0 9 \u00bd pieds de haut. Je voulais donc mettre l&rsquo;accent sur la ligne repr\u00e9sentant la trajectoire g\u00e9od\u00e9sique. Pour ce faire, j&rsquo;ai plac\u00e9 du verre ambr\u00e9 et du verre cramoisi au-dessus et en dessous de la ligne. C&rsquo;est \u00e0 l&rsquo;ast\u00e9risque que commence la ligne. Elle traverse les faces du dod\u00e9ca\u00e8dre et est recouverte de feuille de cuivre. Elle manque de peu un sommet, passe en dessous, le contourne et revient \u00e0 son sommet d&rsquo;origine, sans passer par aucun autre sommet.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Le phare de Mathemalchemy refl\u00e8te une avanc\u00e9e r\u00e9alis\u00e9e en 2020 par les math\u00e9maticiens Jayadev Athreya, David Aulicino et Patrick Hooper. <\/p>\n<p>L&rsquo;artiste professionnelle Bronna Butler, passionn\u00e9e de math\u00e9matiques et membre de l&rsquo;\u00e9quipe Mathemalchemy, pr\u00e9sente un vitrail illustrant une trajectoires dod\u00e9ca\u00e9driques.<\/p>\n","protected":false},"author":44503782,"featured_media":9126,"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":[6678],"tags":[7154,6691,6761,6805,6728,6735,6762,6838],"class_list":["post-10900","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathemalchemy-en-theories","tag-balise","tag-bronna-butler-fr","tag-dodecaedre","tag-lentilles-led","tag-phare","tag-sabetta-matsumoto-fr","tag-trajectoire-dodecaedrique","tag-vitrail","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Trajectoire dod\u00e9ca\u00e9drique - Mathemalchemy<\/title>\n<meta name=\"description\" content=\"Le phare de Mathemalchemy refl\u00e8te une avanc\u00e9e r\u00e9alis\u00e9e en 2020 par les math\u00e9maticiens Jayadev Athreya, David Aulicino et Patrick Hooper. L&#039;artiste professionnelle Bronna Butler, passionn\u00e9e de math\u00e9matiques et membre de l&#039;\u00e9quipe Mathemalchemy, pr\u00e9sente un vitrail illustrant une trajectoires dod\u00e9ca\u00e9driques.\" \/>\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\/2021\/01\/19\/trajectoire-dodecaedrique\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Trajectoire dod\u00e9ca\u00e9drique - Mathemalchemy\" \/>\n<meta property=\"og:description\" content=\"Le phare de Mathemalchemy refl\u00e8te une avanc\u00e9e r\u00e9alis\u00e9e en 2020 par les math\u00e9maticiens Jayadev Athreya, David Aulicino et Patrick Hooper. L&#039;artiste professionnelle Bronna Butler, passionn\u00e9e de math\u00e9matiques et membre de l&#039;\u00e9quipe Mathemalchemy, pr\u00e9sente un vitrail illustrant une trajectoires dod\u00e9ca\u00e9driques.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemalchemy\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Mathemalchemy-103377841519027\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/BABaroqueArts\" \/>\n<meta property=\"article:published_time\" content=\"2021-01-19T15:05:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-07-18T03:20:52+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1280\" \/>\n\t<meta property=\"og:image:height\" content=\"720\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Bronna Butler\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Trajectoire dod\u00e9ca\u00e9drique\" \/>\n<meta name=\"twitter:description\" content=\"Le phare de Mathemalchemy refl\u00e8te une avanc\u00e9e r\u00e9alis\u00e9e en 2020 par les math\u00e9maticiens Jayadev Athreya, David Aulicino et Patrick Hooper. L&#039;artiste professionnelle Bronna Butler, passionn\u00e9e de math\u00e9matiques et membre de l&#039;\u00e9quipe Mathemalchemy, pr\u00e9sente un vitrail illustrant une trajectoires dod\u00e9ca\u00e9driques.\" \/>\n<meta name=\"twitter:creator\" content=\"@https:\/\/twitter.com\/BronnaButler\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"Bronna Butler\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/\"},\"author\":{\"name\":\"Bronna Butler\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/#\\\/schema\\\/person\\\/4619da04ce80983557dce039046d2c0a\"},\"headline\":\"Trajectoire dod\u00e9ca\u00e9drique\",\"datePublished\":\"2021-01-19T15:05:00+00:00\",\"dateModified\":\"2023-07-18T03:20:52+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/\"},\"wordCount\":846,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/i0.wp.com\\\/mathemalchemy.org\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=1280%2C720&ssl=1\",\"keywords\":[\"balise\",\"Bronna Butler\",\"dod\u00e9ca\u00e8dre\",\"lentilles led\",\"Phare\",\"Sabetta Matsumoto\",\"trajectoire dod\u00e9ca\u00e9drique\",\"vitrail\"],\"articleSection\":[\"Mathemalchemy en th\u00e9ories\"],\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/\",\"url\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/\",\"name\":\"Trajectoire dod\u00e9ca\u00e9drique - Mathemalchemy\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/i0.wp.com\\\/mathemalchemy.org\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=1280%2C720&ssl=1\",\"datePublished\":\"2021-01-19T15:05:00+00:00\",\"dateModified\":\"2023-07-18T03:20:52+00:00\",\"description\":\"Le phare de Mathemalchemy refl\u00e8te une avanc\u00e9e r\u00e9alis\u00e9e en 2020 par les math\u00e9maticiens Jayadev Athreya, David Aulicino et Patrick Hooper. L'artiste professionnelle Bronna Butler, passionn\u00e9e de math\u00e9matiques et membre de l'\u00e9quipe Mathemalchemy, pr\u00e9sente un vitrail illustrant une trajectoires dod\u00e9ca\u00e9driques.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/#primaryimage\",\"url\":\"https:\\\/\\\/i0.wp.com\\\/mathemalchemy.org\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=1280%2C720&ssl=1\",\"contentUrl\":\"https:\\\/\\\/i0.wp.com\\\/mathemalchemy.org\\\/wp-content\\\/uploads\\\/2021\\\/01\\\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=1280%2C720&ssl=1\",\"width\":1280,\"height\":720},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/2021\\\/01\\\/19\\\/trajectoire-dodecaedrique\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Trajectoire dod\u00e9ca\u00e9drique\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/#website\",\"url\":\"https:\\\/\\\/mathemalchemy.org\\\/\",\"name\":\"Mathemalchemy\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/mathemalchemy.org\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/#organization\",\"name\":\"Mathemalchemy\",\"url\":\"https:\\\/\\\/mathemalchemy.org\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/i0.wp.com\\\/mathemalchemy.org\\\/wp-content\\\/uploads\\\/2020\\\/09\\\/logo-mathemalchemy.png?fit=270%2C243&ssl=1\",\"contentUrl\":\"https:\\\/\\\/i0.wp.com\\\/mathemalchemy.org\\\/wp-content\\\/uploads\\\/2020\\\/09\\\/logo-mathemalchemy.png?fit=270%2C243&ssl=1\",\"width\":270,\"height\":243,\"caption\":\"Mathemalchemy\"},\"image\":{\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/Mathemalchemy-103377841519027\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UCykfzVmgUTr_8sFd42-BQNw\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/mathemalchemy.org\\\/#\\\/schema\\\/person\\\/4619da04ce80983557dce039046d2c0a\",\"name\":\"Bronna Butler\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/e6e52169bffdf3fc7c4489200fe0adc8265e6c2420a4d77701ef562427eb4f4a?s=96&d=identicon&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/e6e52169bffdf3fc7c4489200fe0adc8265e6c2420a4d77701ef562427eb4f4a?s=96&d=identicon&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/e6e52169bffdf3fc7c4489200fe0adc8265e6c2420a4d77701ef562427eb4f4a?s=96&d=identicon&r=g\",\"caption\":\"Bronna Butler\"},\"description\":\"Bronna has a B.A. in Art and an M.S. in Accounting from the University of Missouri. After being a financial executive for 22 years for creative entrepreneurial firms in design, publishing, and telecommunications, she founded B.A. Baroque Arts, LLC in 1997. She has completed numerous commissioned pieces, including a twenty-foot-tall stainless-steel monument, 900 square feet of stained-glass windows, and over 140 oil and pastel paintings. In 2015 she began creating glass, mirror, and metal sculptures, as well as two-dimensional artwork, with a focus on recreational mathematics, mathematicians, physicists, and science. Her work includes puzzles, enigmas, and optical illusions.\",\"sameAs\":[\"https:\\\/\\\/www.bronnabutler.com\\\/\",\"https:\\\/\\\/www.facebook.com\\\/BABaroqueArts\",\"https:\\\/\\\/x.com\\\/https:\\\/\\\/twitter.com\\\/BronnaButler\",\"jace.beaulieu@gmail.com\"],\"url\":\"https:\\\/\\\/mathemalchemy.org\\\/fr\\\/author\\\/bronna-butler\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Trajectoire dod\u00e9ca\u00e9drique - Mathemalchemy","description":"Le phare de Mathemalchemy refl\u00e8te une avanc\u00e9e r\u00e9alis\u00e9e en 2020 par les math\u00e9maticiens Jayadev Athreya, David Aulicino et Patrick Hooper. L'artiste professionnelle Bronna Butler, passionn\u00e9e de math\u00e9matiques et membre de l'\u00e9quipe Mathemalchemy, pr\u00e9sente un vitrail illustrant une trajectoires dod\u00e9ca\u00e9driques.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/","og_locale":"fr_FR","og_type":"article","og_title":"Trajectoire dod\u00e9ca\u00e9drique - Mathemalchemy","og_description":"Le phare de Mathemalchemy refl\u00e8te une avanc\u00e9e r\u00e9alis\u00e9e en 2020 par les math\u00e9maticiens Jayadev Athreya, David Aulicino et Patrick Hooper. L'artiste professionnelle Bronna Butler, passionn\u00e9e de math\u00e9matiques et membre de l'\u00e9quipe Mathemalchemy, pr\u00e9sente un vitrail illustrant une trajectoires dod\u00e9ca\u00e9driques.","og_url":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/","og_site_name":"Mathemalchemy","article_publisher":"https:\/\/www.facebook.com\/Mathemalchemy-103377841519027","article_author":"https:\/\/www.facebook.com\/BABaroqueArts","article_published_time":"2021-01-19T15:05:00+00:00","article_modified_time":"2023-07-18T03:20:52+00:00","og_image":[{"width":1280,"height":720,"url":"https:\/\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg","type":"image\/jpeg"}],"author":"Bronna Butler","twitter_card":"summary_large_image","twitter_title":"Trajectoire dod\u00e9ca\u00e9drique","twitter_description":"Le phare de Mathemalchemy refl\u00e8te une avanc\u00e9e r\u00e9alis\u00e9e en 2020 par les math\u00e9maticiens Jayadev Athreya, David Aulicino et Patrick Hooper. L'artiste professionnelle Bronna Butler, passionn\u00e9e de math\u00e9matiques et membre de l'\u00e9quipe Mathemalchemy, pr\u00e9sente un vitrail illustrant une trajectoires dod\u00e9ca\u00e9driques.","twitter_creator":"@https:\/\/twitter.com\/BronnaButler","twitter_misc":{"\u00c9crit par":"Bronna Butler","Dur\u00e9e de lecture estim\u00e9e":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/#article","isPartOf":{"@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/"},"author":{"name":"Bronna Butler","@id":"https:\/\/mathemalchemy.org\/#\/schema\/person\/4619da04ce80983557dce039046d2c0a"},"headline":"Trajectoire dod\u00e9ca\u00e9drique","datePublished":"2021-01-19T15:05:00+00:00","dateModified":"2023-07-18T03:20:52+00:00","mainEntityOfPage":{"@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/"},"wordCount":846,"commentCount":0,"publisher":{"@id":"https:\/\/mathemalchemy.org\/#organization"},"image":{"@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/#primaryimage"},"thumbnailUrl":"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=1280%2C720&ssl=1","keywords":["balise","Bronna Butler","dod\u00e9ca\u00e8dre","lentilles led","Phare","Sabetta Matsumoto","trajectoire dod\u00e9ca\u00e9drique","vitrail"],"articleSection":["Mathemalchemy en th\u00e9ories"],"inLanguage":"fr-FR","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/","url":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/","name":"Trajectoire dod\u00e9ca\u00e9drique - Mathemalchemy","isPartOf":{"@id":"https:\/\/mathemalchemy.org\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/#primaryimage"},"image":{"@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/#primaryimage"},"thumbnailUrl":"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=1280%2C720&ssl=1","datePublished":"2021-01-19T15:05:00+00:00","dateModified":"2023-07-18T03:20:52+00:00","description":"Le phare de Mathemalchemy refl\u00e8te une avanc\u00e9e r\u00e9alis\u00e9e en 2020 par les math\u00e9maticiens Jayadev Athreya, David Aulicino et Patrick Hooper. L'artiste professionnelle Bronna Butler, passionn\u00e9e de math\u00e9matiques et membre de l'\u00e9quipe Mathemalchemy, pr\u00e9sente un vitrail illustrant une trajectoires dod\u00e9ca\u00e9driques.","breadcrumb":{"@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/"]}]},{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/#primaryimage","url":"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=1280%2C720&ssl=1","contentUrl":"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=1280%2C720&ssl=1","width":1280,"height":720},{"@type":"BreadcrumbList","@id":"https:\/\/mathemalchemy.org\/fr\/2021\/01\/19\/trajectoire-dodecaedrique\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathemalchemy.org\/fr\/"},{"@type":"ListItem","position":2,"name":"Trajectoire dod\u00e9ca\u00e9drique"}]},{"@type":"WebSite","@id":"https:\/\/mathemalchemy.org\/#website","url":"https:\/\/mathemalchemy.org\/","name":"Mathemalchemy","description":"","publisher":{"@id":"https:\/\/mathemalchemy.org\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathemalchemy.org\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Organization","@id":"https:\/\/mathemalchemy.org\/#organization","name":"Mathemalchemy","url":"https:\/\/mathemalchemy.org\/","logo":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/mathemalchemy.org\/#\/schema\/logo\/image\/","url":"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/logo-mathemalchemy.png?fit=270%2C243&ssl=1","contentUrl":"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2020\/09\/logo-mathemalchemy.png?fit=270%2C243&ssl=1","width":270,"height":243,"caption":"Mathemalchemy"},"image":{"@id":"https:\/\/mathemalchemy.org\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/Mathemalchemy-103377841519027","https:\/\/www.youtube.com\/channel\/UCykfzVmgUTr_8sFd42-BQNw"]},{"@type":"Person","@id":"https:\/\/mathemalchemy.org\/#\/schema\/person\/4619da04ce80983557dce039046d2c0a","name":"Bronna Butler","image":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/secure.gravatar.com\/avatar\/e6e52169bffdf3fc7c4489200fe0adc8265e6c2420a4d77701ef562427eb4f4a?s=96&d=identicon&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/e6e52169bffdf3fc7c4489200fe0adc8265e6c2420a4d77701ef562427eb4f4a?s=96&d=identicon&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/e6e52169bffdf3fc7c4489200fe0adc8265e6c2420a4d77701ef562427eb4f4a?s=96&d=identicon&r=g","caption":"Bronna Butler"},"description":"Bronna has a B.A. in Art and an M.S. in Accounting from the University of Missouri. After being a financial executive for 22 years for creative entrepreneurial firms in design, publishing, and telecommunications, she founded B.A. Baroque Arts, LLC in 1997. She has completed numerous commissioned pieces, including a twenty-foot-tall stainless-steel monument, 900 square feet of stained-glass windows, and over 140 oil and pastel paintings. In 2015 she began creating glass, mirror, and metal sculptures, as well as two-dimensional artwork, with a focus on recreational mathematics, mathematicians, physicists, and science. Her work includes puzzles, enigmas, and optical illusions.","sameAs":["https:\/\/www.bronnabutler.com\/","https:\/\/www.facebook.com\/BABaroqueArts","https:\/\/x.com\/https:\/\/twitter.com\/BronnaButler","jace.beaulieu@gmail.com"],"url":"https:\/\/mathemalchemy.org\/fr\/author\/bronna-butler\/"}]}},"jetpack_featured_media_url":"https:\/\/i0.wp.com\/mathemalchemy.org\/wp-content\/uploads\/2021\/01\/dodecahedronal-trajectory-bronna-butler-mathemalchemy-art-project.jpg?fit=1280%2C720&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/pcmH52-2PO","jetpack_sharing_enabled":true,"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/posts\/10900","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/users\/44503782"}],"replies":[{"embeddable":true,"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/comments?post=10900"}],"version-history":[{"count":1,"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/posts\/10900\/revisions"}],"predecessor-version":[{"id":10901,"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/posts\/10900\/revisions\/10901"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/media\/9126"}],"wp:attachment":[{"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/media?parent=10900"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/categories?post=10900"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathemalchemy.org\/fr\/wp-json\/wp\/v2\/tags?post=10900"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}