{"id":10902,"date":"2020-12-31T11:54:19","date_gmt":"2020-12-31T16:54:19","guid":{"rendered":"https:\/\/mathemalchemy.org\/?p=10902"},"modified":"2023-07-17T23:20:38","modified_gmt":"2023-07-18T03:20:38","slug":"chemin-vers-le-jardin","status":"publish","type":"post","link":"https:\/\/mathemalchemy.org\/fr\/2020\/12\/31\/chemin-vers-le-jardin\/","title":{"rendered":"Chemin vers le jardin"},"content":{"rendered":"\n
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Il y a environ un an, j’ai eu la chance d’assister \u00e0 la pr\u00e9sentation d’Ingrid et de Dominique au JMM, o\u00f9 elles ont pr\u00e9sent\u00e9 leur concept Mathemalchemy. J’ai imm\u00e9diatement offert mon soutien, admettant cependant que je ne me sentais pas qualifi\u00e9 pour rejoindre le groupe. Apr\u00e8s tout, je suis une math\u00e9maticienne, pas une artiste. Dominique<\/a> m’a assur\u00e9 que j’\u00e9tais la bienvenue, mais je suis rest\u00e9e circonspecte. Je lui ai m\u00eame r\u00e9dig\u00e9 un courriel plus tard dans la soir\u00e9e, pour la remercier de l’opportunit\u00e9, mais en lui assurant que me permettre de rejoindre cette \u00e9quipe \u00e9tait une erreur. Heureusement, je l’ai supprim\u00e9 <\/em>au lieu de l’envoyer<\/em>!<\/p>\n<\/div>\n\n\n\n

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\"Première
Premi\u00e8re maquette <\/a>de Mathemalchemy pr\u00e9sent\u00e9e aux JMM 2019.<\/figcaption><\/figure><\/div>\n<\/div>\n\n
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\"Samantha
Moi, en train de carreler ma salle de bains.<\/figcaption><\/figure><\/div>\n\n\n\n
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Quelques mois plus tard, nous avons organis\u00e9 notre premier atelier (virtuel) officiel. J’\u00e9tais enthousiaste, mais je ne savais pas encore comment je pouvais contribuer. N\u00e9anmoins, j’ai rejoint le groupe du Jardin et nous avons commenc\u00e9 \u00e0 r\u00e9fl\u00e9chir \u00e0 des id\u00e9es. J’ai sugg\u00e9r\u00e9 que le jardin dispose d’un chemin, et Li-Mei a eu l’id\u00e9e fabuleuse qu’il repr\u00e9sente un crible d’Eratosth\u00e8ne pour les entiers de Gauss<\/a>. Imm\u00e9diatement, j’ai imagin\u00e9 les dalles du chemin comme des mosa\u00efques compos\u00e9es de minuscules carreaux. Et puis j’ai r\u00e9alis\u00e9 que je pouvais le faire. Ayant r\u00e9cemment appris \u00e0 poser du carrelage lors de la r\u00e9novation de ma salle de bains, je me suis port\u00e9e volontaire pour construire le chemin du jardin !<\/p>\n<\/div>\n<\/div>\n\n

La question qui se pose maintenant est la suivante : comment s’assurer que le concept math\u00e9matique est clair ? Il nous a fallu plusieurs tentatives et de nombreuses discussions. En raison des restrictions impos\u00e9es par la COVID-19, il n’\u00e9tait pas possible d’aller acheter du mat\u00e9riel en personne. J’ai choisi des carreaux color\u00e9s sur une boutique en ligne en esp\u00e9rant que tout irait pour le mieux ! Malheureusement, apr\u00e8s avoir r\u00e9alis\u00e9 la premi\u00e8re s\u00e9rie de dalles, il s’est av\u00e9r\u00e9 que les couleurs des carreaux et des joints n’offraient pas suffisamment de contraste pour distinguer les motifs. Cependant, cela nous a permis de visualier le concept et de d\u00e9finir une orientation pour aller de l’avant !<\/p>\n\n

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La premi\u00e8re s\u00e9rie de dalles a clairement montr\u00e9 que les couleurs des carreaux et des joints n’offraient pas suffisamment de contraste pour distinguer les motifs.<\/figcaption><\/figure>\n
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Nous avons d\u00e9cid\u00e9 de remplacer les carreaux beige par des carreaux d’un blanc \u00e9clatant et d’assombrir la couleur du joint pour obtenir le contraste souhait\u00e9. En outre, l’inversion des couleurs claires et fonc\u00e9es a permis aux carreaux blancs de briller sur un chemin \u00e0 pr\u00e9dominance brune, mettant en \u00e9vidence, au fur et \u00e0 mesure, chaque multiple d’entier gaussien. <\/p>\n<\/div>\n\n\n\n

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\"Options
Diff\u00e9rentes options de carrelage pour le chemin.<\/figcaption><\/figure><\/div>\n<\/div>\n\n
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63 tuiles \u00ab\u00a0submerg\u00e9es\u00a0\u00bb par la mar\u00e9e montante et descendante.<\/figcaption><\/figure><\/div>\n\n\n\n
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Apr\u00e8s la conception, la fabrication a \u00e9t\u00e9 l’\u00e9tape finale. Malheureusement, il nous restait un dernier obstacle \u00e0 surmonter : en inversant les tuiles brunes et blanches, il nous manquait pr\u00e9cis\u00e9ment 63 tuiles brunes. M\u00eame si nous aurions eu suffisamment de temps pour en commander d’autres (naturellement, ils \u00e9taient en rupture de stock !), j’ai vu l\u00e0 l’occasion d’exercer notre cr\u00e9ativit\u00e9. Le chemin qui traverse le jardin m\u00e8ne \u00e0 la sc\u00e8ne du bord de mer. Et si la derni\u00e8re pierre \u00e9tait us\u00e9e par les intemp\u00e9ries, recouverte et lib\u00e9r\u00e9e par la mar\u00e9e montante et descendante ? J’ai cr\u00e9\u00e9 un prototype et Dominique a ador\u00e9 l’id\u00e9e. Le chemin du jardin est officiellement termin\u00e9 !<\/p>\n<\/div>\n<\/div>\n\n

En repensant \u00e0 cette ann\u00e9e (ce que chacun a tendance \u00e0 faire pour les f\u00eates de fin d’ann\u00e9e), je suis contente d’avoir crois\u00e9 le chemin du \u00ab\u00a0jardin des d\u00e9lices math\u00e9matiques\u00a0\u00bb. Je suis contente d’avoir appris \u00e0 carreler ma salle de bains il y a cinq ans, et je suis particuli\u00e8rement contente de n’avoir jamais envoy\u00e9 cet e-mail \u00e0 Dominique !<\/p>\n\n

\"\"<\/figure>","protected":false},"excerpt":{"rendered":"

Il y a environ un an, j’ai eu la chance d’assister \u00e0 la pr\u00e9sentation d’Ingrid et de Dominique au JMM, o\u00f9 elles ont pr\u00e9sent\u00e9 leur concept Mathemalchemy. J’ai imm\u00e9diatement offert mon soutien, admettant cependant que je ne me sentais pas qualifi\u00e9 pour rejoindre le groupe. Apr\u00e8s tout, je suis une math\u00e9maticienne, pas une artiste. DominiqueLire la suite \u00ab\u00a0Chemin vers le jardin\u00a0\u00bb<\/span><\/a><\/p>\n","protected":false},"author":44503780,"featured_media":9112,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[6673],"tags":[7156,6785,6800,7148,6843],"class_list":["post-10902","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-realisation-de-mathemalchemy","tag-entiers-de-gauss","tag-jardin","tag-mosaique","tag-pavage","tag-tamis-deratosthanes","entry"],"yoast_head":"\nChemin vers le jardin - Mathemalchemy<\/title>\n<meta name=\"description\" content=\"En repensant \u00e0 cette ann\u00e9e (ce que chacun a tendance \u00e0 faire pour les f\u00eates de fin d'ann\u00e9e), je suis contente d'avoir crois\u00e9 le chemin du "jardin des d\u00e9lices math\u00e9matiques". Lisez le billet de Samantha Pezzimenti dans les chroniques de Mathemalchemy.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemalchemy.org\/fr\/2023\/05\/18\/chemin-vers-le-jardin\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Chemin vers le jardin - Mathemalchemy\" \/>\n<meta property=\"og:description\" content=\"En repensant \u00e0 cette ann\u00e9e (ce que chacun a tendance \u00e0 faire pour les f\u00eates de fin d'ann\u00e9e), je suis contente d'avoir crois\u00e9 le chemin du "jardin des d\u00e9lices math\u00e9matiques". 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