{"id":78,"date":"2007-06-20T21:46:22","date_gmt":"2007-06-20T19:46:22","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/section-dune-pyramide-reguliere-a-base-carree-animation\/"},"modified":"2023-10-14T20:13:02","modified_gmt":"2023-10-14T18:13:02","slug":"section-dune-pyramide-reguliere-a-base-carree-animation","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-pyramide-reguliere-a-base-carree-animation\/","title":{"rendered":"Section d&rsquo;une pyramide r\u00e9guli\u00e8re \u00e0 base carr\u00e9e"},"content":{"rendered":"<a href=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2020\/07\/pyramide.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"both\" data-toolbar-fixed=\"on\">pyramide<\/a>\n<p class=\"wp-block-pdfemb-pdf-embedder-viewer\"><\/p>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">input geometriesyr16;\ninput dlf_tex.mp;\n\nu:=1cm;\n\n%----------------------------------- D\u00e9finition du cadre\npath cadre;\nnumeric xmin,xmax,ymin,ymax;\nxmin:=-u;\nxmax:=17u;\nymin:=-2u;\nymax:=8u;\n\ncadre:=(xmin,ymin)--(xmax,ymin)--(xmax,ymax)--(xmin,ymax)--cycle;\n\n\n%---------------------------------- D\u00e9finitions g\u00e9n\u00e9rales utilis\u00e9es\n%                                   sur toutes les figures\n\n\nnumeric h;\nh:=6;   %hauteur\n\npair S,A,B,C,D,H,V;\npair AA,BB,CC,DD,HH;\n\n\nA=(0,0);\nB=(6u,0);\n\nV=(1.5u,1.5u);\n\nC=B shifted V;\nD=A shifted V;\n\nH=0.5[A,C];\nS=H shifted (0,h*u);\n\npair K,L,M,N,O,W;\n\nW:=(10u,0);\n\npair T,TT;\nT:=(3u,-1.5u);\nTT:=(13u,-1.5u);\n\n\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nfor i:=0 upto 10:\nbeginfig(i+1)\n\n\ndraw S--A;\ndraw S--B;\ndraw S--C;\ndraw S--D dashed evenly;\n\ndraw A--B--C;\ndraw C--D--A dashed evenly;\ndraw S--H dashed evenly;\ndraw C--A dashed evenly;\ndraw D--B dashed evenly;\n\ntrace codeperp(S,H,A,6);\ntrace codeperp(S,H,B,6);\n\nlabel.lft(btex $A$ etex,A);\nlabel.bot(btex $B$ etex,B);\nlabel.rt(btex $C$ etex,C);\nlabel.urt(btex $D$ etex,D);\nlabel.top(btex $S$ etex,S);\nlabel.bot(btex $H$ etex,H);\n\n\n\nnumeric cr;\ncr:=0.1*i;     %coefficient de r\u00e9duction\n\nAA:=cr[S,A];\nBB:=cr[S,B];\nCC:=cr[S,C];\nDD:=cr[S,D];\nHH:=cr[S,H];\n\npath section;\nsection=buildcycle(segment(AA,BB),segment(BB,CC),segment(CC,DD),segment(DD,AA));\nfillcolor:=1.3orange;\ntransparence section;\n\ndraw AA--BB--CC;\ndraw CC--DD--AA dashed evenly;\ndraw AA--CC dashed evenly;\ndraw BB--DD dashed evenly;\n\n\n\nK:=A shifted W;\nL:=B shifted W;\nM:=K rotatedaround(L,-90);\nN:= L rotatedaround(K,90);\nO:=0.5[K,M];\n\nlabel.llft(btex $A$ etex,K);\nlabel.lrt(btex $B$ etex,L);\nlabel.urt(btex $C$ etex,M);\nlabel.ulft(btex $D$ etex,N);\nlabel.bot(btex $S$ etex,O);\n\ntrace polygone(K,L,M,N);\ntrace segment(K,M);\ntrace segment(L,N);\n\nAA:=cr[O,K];\nBB:=cr[O,L];\nCC:=cr[O,M];\nDD:=cr[O,N];\n\nsection:=buildcycle(segment(AA,BB),segment(BB,CC),segment(CC,DD),segment(DD,AA));\nfillcolor:=1.3orange;\ntransparence section;\n\ntrace polygone(AA,BB,CC,DD);\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),TT);\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\nendfor\n\n\n\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\n%%\n%%\n%%\n%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\nfor i:=1 upto 10:\nbeginfig(i+11)\n\n\ndraw S--A;\ndraw S--B;\ndraw S--C;\ndraw S--D dashed evenly;\n\ndraw A--B--C;\ndraw C--D--A dashed evenly;\ndraw S--H dashed evenly;\ndraw C--A dashed evenly;\ndraw D--B dashed evenly;\n\ntrace codeperp(S,H,A,6);\ntrace codeperp(S,H,B,6);\n\nlabel.lft(btex $A$ etex,A);\nlabel.bot(btex $B$ etex,B);\nlabel.rt(btex $C$ etex,C);\nlabel.urt(btex $D$ etex,D);\nlabel.top(btex $S$ etex,S);\nlabel.bot(btex $H$ etex,H);\n\n\n\nnumeric cr;\ncr:=1-0.1*i;     %coefficient de r\u00e9duction\n\nAA:=cr[S,A];\nBB:=cr[S,B];\nCC:=cr[S,C];\nDD:=cr[S,D];\nHH:=cr[S,H];\n\npath section;\nsection=buildcycle(segment(AA,BB),segment(BB,CC),segment(CC,DD),segment(DD,AA));\nfillcolor:=1.3orange;\ntransparence section;\n\ndraw AA--BB--CC;\ndraw CC--DD--AA dashed evenly;\ndraw AA--CC dashed evenly;\ndraw BB--DD dashed evenly;\n\n\n\nK:=A shifted W;\nL:=B shifted W;\nM:=K rotatedaround(L,-90);\nN:= L rotatedaround(K,90);\nO:=0.5[K,M];\n\nlabel.llft(btex $A$ etex,K);\nlabel.lrt(btex $B$ etex,L);\nlabel.urt(btex $C$ etex,M);\nlabel.ulft(btex $D$ etex,N);\nlabel.bot(btex $S$ etex,O);\n\ntrace polygone(K,L,M,N);\ntrace segment(K,M);\ntrace segment(L,N);\n\nAA:=cr[O,K];\nBB:=cr[O,L];\nCC:=cr[O,M];\nDD:=cr[O,N];\n\nsection:=buildcycle(segment(AA,BB),segment(BB,CC),segment(CC,DD),segment(DD,AA));\nfillcolor:=1.3orange;\ntransparence section;\n\ntrace polygone(AA,BB,CC,DD);\n\nlabel(TEX(\"\\uline{Vue en perspective}\"),T);\nlabel(TEX(\"\\uline{Vue de dessus}\"),TT);\n\ndraw cadre withcolor black withpen pencircle scaled 2pt;\nclip currentpicture to cadre;\n\nendfig;\n\nendfor\n\n\nend<\/pre>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":2408,"menu_order":8,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-78","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>Section d&#039;une pyramide r\u00e9guli\u00e8re \u00e0 base carr\u00e9e - 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\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-pyramide-reguliere-a-base-carree-animation\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Section d&#039;une pyramide r\u00e9guli\u00e8re \u00e0 base carr\u00e9e - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-pyramide-reguliere-a-base-carree-animation\/\" \/>\n<meta property=\"og:site_name\" content=\"Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"article:modified_time\" content=\"2023-10-14T18:13:02+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-pyramide-reguliere-a-base-carree-animation\/\",\"url\":\"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/section-dune-pyramide-reguliere-a-base-carree-animation\/\",\"name\":\"Section d'une pyramide r\u00e9guli\u00e8re \u00e0 base carr\u00e9e - Maths &amp; 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