{"id":248,"date":"2012-12-17T15:20:38","date_gmt":"2012-12-17T14:20:38","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/dessin-dun-polygone-regulier-avec-le-module-turtle\/"},"modified":"2022-01-05T22:41:55","modified_gmt":"2022-01-05T21:41:55","slug":"dessin-dun-polygone-regulier-avec-le-module-turtle","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/python\/le-module-turtle\/dessin-dun-polygone-regulier-avec-le-module-turtle\/","title":{"rendered":"Dessin d&rsquo;un polygone r\u00e9gulier avec le module Turtle"},"content":{"rendered":"<h2>Un exemple simple : le carr\u00e9<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-868\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2012\/12\/png_carre.png\" alt=\"carre.png\" width=\"263\" height=\"257\" align=\"center\" \/><\/p>\n<p>Comme c&rsquo;est tr\u00e8s simple, un d\u00e9butant va proposer ceci :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">\"\"\"\nOn dessine un carre.\n\nc : longueur du cote\nu : unite graphique\n\"\"\"\n\nimport turtle\nfrom turtle import *\n\n\nc=2\nu=100\n\nforward(c*u)\nleft(90)\nforward(c*u)\nleft(90)\nforward(c*u)\nleft(90)\nforward(c*u)\n\n\nexitonclick()<\/pre>\n<p>Evidemment, tr\u00e8s vite, on voit la r\u00e9p\u00e9tition de deux instructions, surtout si on ajoute un dernier <em>left(90)<\/em>.<\/p>\n<p>D&rsquo;o\u00f9 l&#8217;emploi d&rsquo;une boucle <strong>for<\/strong>.<\/p>\n<p>A noter que dans l&rsquo;exemple ci-dessous, les 4 valeurs prises par k sont 0, 1,2 et 3 !<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">\"\"\"\nOn dessine un carre.\nc : longueur du cote\nu : unite graphique\n\"\"\"\n\nimport turtle\nfrom turtle import *\n\n\nc=2\nu=100\n\nfor k in range(4):\n    forward(c*u)\n    left(90)\n\n\nexitonclick()<\/pre>\n<h2>On complique un peu : le pentagone r\u00e9gulier<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-869\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2012\/12\/png_pentagone.png\" alt=\"pentagone.png\" width=\"373\" height=\"357\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2012\/12\/png_pentagone.png 373w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2012\/12\/png_pentagone-300x287.png 300w\" sizes=\"auto, (max-width: 373px) 100vw, 373px\" \/><\/p>\n<p>On comprend vite que c&rsquo;est le m\u00eame principe, il suffit juste de savoir de quel angle on tourne. Un petit calcul nous permet de trouver que chaque angle d&rsquo;un pentagone r\u00e9gulier mesure 108 degr\u00e9s. Il faudra donc tourner, non pas de 108 degr\u00e9s mais de 72 degr\u00e9s.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">\"\"\"\nOn dessine un pentagone regulier.\nc : longueur du cote\nu : unite graphique\n\"\"\"\n\nimport turtle\nfrom turtle import *\n\n\nc=2\nu=100\n\nfor k in range(5):\n    forward(c*u)\n    left(72)\n\n\nexitonclick()<\/pre>\n<h2>G\u00e9n\u00e9ralisons au polygone r\u00e9gulier<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-870\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2012\/12\/png_polygone_regulier.png\" alt=\"polygone_regulier.png\" width=\"306\" height=\"291\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2012\/12\/png_polygone_regulier.png 306w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2012\/12\/png_polygone_regulier-300x285.png 300w\" sizes=\"auto, (max-width: 306px) 100vw, 306px\" \/><\/p>\n<p>Pour un nombre n de c\u00f4t\u00e9s, il faut juste calculer l&rsquo;angle de rotation : il vaut 360\/n degr\u00e9s !<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">\"\"\"\nOn dessine un polygone regulier.\nn : nombre de cotes\nangle : angle de rotation\nc : longueur du cote\nu : unite graphique\n\"\"\"\n\nimport turtle\nfrom turtle import *\n\nn=8\nangle=360.\/n\n\nc=2\nu=50\n\nfor k in range(n):\n    forward(c*u)\n    left(angle)\n\n\nexitonclick()<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Un exemple simple : le carr\u00e9 Comme c&rsquo;est tr\u00e8s simple, un d\u00e9butant va proposer ceci : \u00ab\u00a0\u00a0\u00bb\u00a0\u00bb On dessine un carre. c : longueur du cote u : unite graphique&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1653,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-248","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Dessin d&#039;un polygone r\u00e9gulier avec le module Turtle - Maths &amp; Num\u00e9rique<\/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:\/\/wordpress.callac.online\/index.php\/python\/le-module-turtle\/dessin-dun-polygone-regulier-avec-le-module-turtle\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dessin d&#039;un polygone r\u00e9gulier avec le module Turtle - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Un exemple simple : le carr\u00e9 Comme c&rsquo;est tr\u00e8s simple, un d\u00e9butant va proposer ceci : &quot;&quot;&quot; On dessine un carre. c : longueur du cote u : unite graphique&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/python\/le-module-turtle\/dessin-dun-polygone-regulier-avec-le-module-turtle\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths &amp; 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