{"id":17523,"date":"2019-07-09T20:39:16","date_gmt":"2019-07-09T18:39:16","guid":{"rendered":"http:\/\/www.valcon.it\/librelogo\/?p=17523"},"modified":"2026-08-07T15:47:54","modified_gmt":"2026-08-07T13:47:54","slug":"triangolo-di-sierpinski-1","status":"publish","type":"post","link":"https:\/\/www.valcon.it\/librelogo\/triangolo-di-sierpinski-1\/","title":{"rendered":"Triangolo di Sierpinski &#8211; 1"},"content":{"rendered":"\n<p><em><a href=\"https:\/\/numbertext.org\/logo\">numbertext.org\/logo<\/a> > <a href=\"https:\/\/numbertext.org\/logo\/posters\/Sierpinski.pdf\">http:\/\/numbertext.org\/logo\/posters\/Sierpinski.pdf<\/a><\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>Il triangolo di Sierpinski con n da 1 a 6 e dimensione=300<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.valcon.it\/librelogo\/wp-content\/uploads\/Sierpinski_1.svg\" alt=\"\" class=\"wp-image-17535\"\/><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.valcon.it\/librelogo\/wp-content\/uploads\/Sierpinski_2.svg\" alt=\"\" class=\"wp-image-17536\"\/><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.valcon.it\/librelogo\/wp-content\/uploads\/Sierpinski_3.svg\" alt=\"\" class=\"wp-image-17537\"\/><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.valcon.it\/librelogo\/wp-content\/uploads\/Sierpinski_4.svg\" alt=\"\" class=\"wp-image-17538\"\/><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.valcon.it\/librelogo\/wp-content\/uploads\/Sierpinski_5.svg\" alt=\"\" class=\"wp-image-17539\"\/><\/figure><\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.valcon.it\/librelogo\/wp-content\/uploads\/sierpinski_6.svg\" alt=\"\" class=\"wp-image-17668\"\/><\/figure><\/div>\n\n\n<p>Con n=7 e dimensione=600 (aspetta qualche minuto&#8230;)<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/www.valcon.it\/librelogo\/wp-content\/uploads\/sierpinski_7.svg\" alt=\"\" class=\"wp-image-17672\"\/><\/figure><\/div>\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: python; title: ; notranslate\" title=\"\">\nGLOBAL r3\nr3=SQRT(3)\n\nTO tria n x y d         ; n=livello, x=colonna, y=riga, d=dimensione\n    GLOBAL r3\n    IF n == 1 &#x5B;\n        PENUP\n        POSITION &#x5B;x,y]\n        HEADING  30\n        PENDOWN\n        REPEAT 3 &#x5B;\n            FORWARD d\n            RIGHT   120\n        ]\n        FILL\n    ]&#x5B;\n        d2=d\/2\n        d4=d\/4\n        h2=r3*d4\n        tria(n-1, x   , y   , d2)\n        tria(n-1, x+d4, y-h2, d2)\n        tria(n-1, x+d2, y   , d2)\n    ]\nEND\n\nCLEARSCREEN \nHOME \nHIDETURTLE\n\nPICTURE &#x5B;\n    tria(7, POSITION&#x5B;0], POSITION&#x5B;1], 600)\n]\n<\/pre><\/div>\n\n\n<h2 class=\"wp-block-heading\">Centro<\/h2>\n\n\n\n<p>Nel codice precedente (x,y) \u00e8 l&#8217;angolo in basso a sinistra.<br>Con alcune modifiche (x,y) diventa il centro del triangolo<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: python; title: ; notranslate\" title=\"\">\nGLOBAL r3\nr3=SQRT(3)\n\nTO tria n x y d\n    GLOBAL r3\n    d2=d\/2\n    d4=d\/4\n    h2=r3*d4\n    h4=h2\/2\n    IF n == 1 &#x5B;\n        PENUP\n        POSITION &#x5B;x-d2,y+h2]\n        HEADING  30\n        PENDOWN\n        REPEAT 3 &#x5B;\n            FORWARD d\n            RIGHT 120\n        ]\n        FILL\n    ]&#x5B;\n        tria(n-1, x-d4, y+h4, d2)\n        tria(n-1, x   , y-h4, d2)\n        tria(n-1, x+d4, y+h4, d2)\n    ]\nEND\n\nCLEARSCREEN \nHOME \nHIDETURTLE\nPICTURE &#x5B;\n    tria(7, POSITION&#x5B;0], POSITION&#x5B;1], 500)\n]\n<\/pre><\/div>","protected":false},"excerpt":{"rendered":"<p>numbertext.org\/logo > http:\/\/numbertext.org\/logo\/posters\/Sierpinski.pdf Il triangolo di Sierpinski con n da 1 a 6 e dimensione=300 Con n=7 e dimensione=600 (aspetta qualche minuto&#8230;) Centro Nel codice precedente (x,y) \u00e8 l&#8217;angolo in basso a sinistra.Con alcune modifiche (x,y) diventa il centro del triangolo<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"off","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","footnotes":""},"categories":[6],"tags":[7],"class_list":["post-17523","post","type-post","status-publish","format-standard","hentry","category-applicazioni","tag-ricorsione"],"_links":{"self":[{"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/posts\/17523","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/comments?post=17523"}],"version-history":[{"count":53,"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/posts\/17523\/revisions"}],"predecessor-version":[{"id":20274,"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/posts\/17523\/revisions\/20274"}],"wp:attachment":[{"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/media?parent=17523"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/categories?post=17523"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.valcon.it\/librelogo\/wp-json\/wp\/v2\/tags?post=17523"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}