{"id":50,"date":"2018-02-13T18:57:30","date_gmt":"2018-02-13T17:57:30","guid":{"rendered":"https:\/\/blogs.futura-sciences.com\/lehning\/?p=50"},"modified":"2018-02-18T16:13:24","modified_gmt":"2018-02-18T15:13:24","slug":"decrypter-lart-concret","status":"publish","type":"post","link":"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/","title":{"rendered":"D\u00e9crypter l’art concret"},"content":{"rendered":"

Philippe Leblanc a expos\u00e9 chez Philomuses, au quartier latin \u00e0 Paris, une s\u00e9rie d\u2019\u0153uvres a priori <\/em>abstraites. Les titres m\u00eame font myst\u00e8re. Par exemple, la suivante se nomme Chinacci 25<\/em>.<\/p>\n

\"\"
Chinacci 25 \u00a9 Philippe Leblanc<\/figcaption><\/figure>\n

L’\u00e9criture chinoise ancienne des nombres<\/h2>\n

En lisant le tableau en colonne, le math\u00e9maticien sera frapp\u00e9 par la r\u00e9gularit\u00e9 des premiers termes\u00a0: 1, 1, 2, 3, 5 o\u00f9 chaque nombre est la somme des deux pr\u00e9c\u00e9dents. Le suivant peut facilement \u00eatre interpr\u00e9t\u00e9 comme un 8. De fait, le tableau de Philippe Leblanc utilise un syst\u00e8me d\u2019\u00e9criture des nombres invent\u00e9 en Chine quelques si\u00e8cles avant J\u00e9sus-Christ. \u00c0 cette \u00e9poque, les Chinois comptaient au moyen de baguettes et non de bouliers comme plus tard. Ils imagin\u00e8rent ainsi une fa\u00e7on d\u2019\u00e9crire les nombres. Pour cela, ils utilisaient deux notations qu\u2019ils alternaient pour \u00e9viter les confusions entre unit\u00e9s, dizaines, centaines, etc. Voici donc les chiffres de 1 \u00e0 9 \u00e9crits de deux fa\u00e7ons diff\u00e9rentes.<\/p>\n

\"\"<\/p>\n

La suite de Fibonacci<\/h2>\n

On s\u2019aper\u00e7oit ainsi que le tableau repr\u00e9sente les 25 premiers termes de la suite de Fibonacci, le dernier terme en bas \u00e0 droite du tableau valant 75025. Le titre de l\u2019\u0153uvre prend alors son sens, Chinacci 25 <\/em>\u00e9tant une contraction de Chinois-Fibonacci, 25 premiers termes. Apr\u00e8s cette premi\u00e8re analyse, on peut se demander ce que signifient les diff\u00e9rences de couleurs, entre jaune et bleu. Pour le voir, il faut r\u00e9aliser que les b\u00e2tons de l\u2019\u0153uvre sont d\u00e9coup\u00e9s au laser dans une t\u00f4le d\u2019acier, qui cache une bo\u00eete lumineuse. C\u2019est le fond de cette bo\u00eete qui est peinte selon plusieurs bandes verticales dont les largeurs suivent \u00e9galement la suite de Fibonacci\u00a0: une bande de largeur X en jaune, une deuxi\u00e8me bande de largeur X en bleu fonc\u00e9, une bande de largeur 2X en jaune orang\u00e9, une quatri\u00e8me bande de largeur 3X en bleu clair. La deuxi\u00e8me \u0153uvre Mayanacci 25<\/em>\u00a0 s\u2019\u00e9claire alors d\u2019elle-m\u00eame.<\/p>\n

\"\"
Mayainacci 25 \u00a9 Philippe Leblanc<\/figcaption><\/figure>\n

La suite de Fibonacci s\u2019y \u00e9crit en lignes puisque la premi\u00e8re se lit 1, 1, 2, 3 en comptant les points. La barre qui suit signifie alors probablement 5. On peut ainsi d\u00e9crypter les nombres suivants. Il s\u2019agit en fait de l\u2019\u00e9criture des nombres qu\u2019utilisaient les Mayas, en base vingt. Les unit\u00e9s, les vingtaines, etc. s\u2019empilent de bas en haut. Les couleurs respectent une r\u00e8gle diff\u00e9rente de celle du tableau pr\u00e9c\u00e9dent puisque, dans chacune des cinq lignes et des cinq colonnes, on trouve une et une seule fois chacune des cinq couleurs pr\u00e9sentes.<\/p>\n","protected":false},"excerpt":{"rendered":"

Philippe Leblanc a expos\u00e9 chez Philomuses, au quartier latin \u00e0 Paris, une s\u00e9rie d\u2019\u0153uvres a priori abstraites. Les titres m\u00eame font myst\u00e8re. Par exemple, la suivante se nomme Chinacci 25. L’\u00e9criture chinoise ancienne des nombres En lisant le tableau en colonne, le math\u00e9maticien sera frapp\u00e9 par la r\u00e9gularit\u00e9 des premiers termes\u00a0: 1, 1, 2, 3, … Continuer la lecture de D\u00e9crypter l’art concret<\/span> →<\/span><\/a><\/p>\n","protected":false},"author":12,"featured_media":79,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[12,29],"tags":[38,31,39,32,48],"class_list":["post-50","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-graphismes","category-maths-2","tag-chinois","tag-fibonacci","tag-mayas","tag-numeration","tag-philippe-leblanc"],"yoast_head":"\nD\u00e9crypter l'art concret, par Herv\u00e9 Lehning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"D\u00e9crypter l'art concret, par Herv\u00e9 Lehning\" \/>\n<meta property=\"og:description\" content=\"Philippe Leblanc a expos\u00e9 chez Philomuses, au quartier latin \u00e0 Paris, une s\u00e9rie d\u2019\u0153uvres a priori abstraites. Les titres m\u00eame font myst\u00e8re. Par exemple, la suivante se nomme Chinacci 25. L’\u00e9criture chinoise ancienne des nombres En lisant le tableau en colonne, le math\u00e9maticien sera frapp\u00e9 par la r\u00e9gularit\u00e9 des premiers termes\u00a0: 1, 1, 2, 3, … Continuer la lecture de D\u00e9crypter l’art concret →\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/\" \/>\n<meta property=\"og:site_name\" content=\"MATH'MONDE, le blog d'Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\" \/>\n<meta property=\"article:published_time\" content=\"2018-02-13T17:57:30+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-02-18T15:13:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/02\/Assemblage135B-Converti.png\" \/>\n\t<meta property=\"og:image:width\" content=\"2955\" \/>\n\t<meta property=\"og:image:height\" content=\"2955\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/\",\"name\":\"D\u00e9crypter l'art concret, par Herv\u00e9 Lehning\",\"isPartOf\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/02\/Assemblage135B-Converti.png\",\"datePublished\":\"2018-02-13T17:57:30+00:00\",\"dateModified\":\"2018-02-18T15:13:24+00:00\",\"author\":{\"@id\":\"\"},\"breadcrumb\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/#primaryimage\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/02\/Assemblage135B-Converti.png\",\"contentUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2018\/02\/Assemblage135B-Converti.png\",\"width\":2955,\"height\":2955},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2018\/02\/13\/decrypter-lart-concret\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"D\u00e9crypter l’art concret\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\",\"name\":\"MATH'MONDE, le blog d'Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\",\"description\":\"Comment comprendre le monde moderne sans culture math\u00e9matique ? 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