{"id":122,"date":"2007-10-03T15:01:46","date_gmt":"2007-10-03T13:01:46","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/exemples-de-pavages-par-symetrie-centrale\/"},"modified":"2023-10-14T20:13:04","modified_gmt":"2023-10-14T18:13:04","slug":"exemples-de-pavages-par-symetrie-centrale","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/metapost\/animations-avec-metapost\/exemples-de-pavages-par-symetrie-centrale\/","title":{"rendered":"Exemples de pavages par sym\u00e9trie centrale"},"content":{"rendered":"<a href=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2020\/07\/mproof.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"both\" data-toolbar-fixed=\"on\">mproof<\/a>\n<p class=\"wp-block-pdfemb-pdf-embedder-viewer\"><\/p>\n\n\n\n<p>Voici le code : <\/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.mp ;\ninput dlf_tex.mp;\n\n%------------------------------------------------------------------------\n% pavage 1\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-8u,-8u,20u,20u);\npair A,B,C,D,O;\n\nA:=(0,0);\nB:=(2u,0);\nD:=(0,2u);\nC:= D shifted(B-A);\nO:= 0.5[A,C];\n\n\npicture figd,figi,fig;\ncurrentpicture:=nullpicture;\n\npath tri;\n\ntri:=O--B--C--cycle ;\nfill tri withcolor orange;\nfigd:=currentpicture;\n\nfigi:=figd rotatedaround (O,180);\n\n\n\nfor i:=0 upto 6:\n  for j:=0 upto 6:\n    fig :=figd shifted (i*4u,j*4u);\n    draw fig;% withcolor green;\n    fig :=figd shifted (i*4u+2u,j*4u+2u);\n    draw fig;% withcolor green;    \n    fig :=figi shifted (i*4u+2u,j*4u);\n    draw fig;% withcolor orange;\n    fig :=figi shifted (i*4u,j*4u+2u);\n    draw fig;% withcolor orange;    \n  endfor;\nendfor;\n\n\n\n\nmarque_p:=\"croix\";\nnomme.urt(O);\n\ndraw A--B--C--D--cycle;\n\nfin;\n%-----------------------------------------------------------------------\n\n%------------------------------------------------------------------------\n% pavage 2\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-8u,-8u,20u,20u);\npair A,B,C,D,O;\n\nA:=(0,0);\nB:=(2u,0);\nD:=(0,2u);\nC:= D shifted(B-A);\nO:= 0.5[A,C];\n\n\npicture figd,figi,fig;\ncurrentpicture:=nullpicture;\n\npath tri;\n\ntri:=A--B--C--cycle ;\nfill tri withcolor orange;\nfigd:=currentpicture;\n\nfigi:=figd rotatedaround (O,180);\n\n\n\nfor i:=0 upto 6:\n  for j:=0 upto 6:\n    fig :=figd shifted (i*4u,j*4u);\n    draw fig;% withcolor green;\n    fig :=figd shifted (i*4u+2u,j*4u+2u);\n    draw fig;% withcolor green;    \n    fig :=figi shifted (i*4u+2u,j*4u);\n    draw fig;% withcolor orange;\n    fig :=figi shifted (i*4u,j*4u+2u);\n    draw fig;% withcolor orange;    \n  endfor;\nendfor;\n\n\n\nmarque_p:=\"croix\";\nnomme.urt(O);\n\ndraw A--B--C--D--cycle;\n\nfin;\n%-----------------------------------------------------------------------\n\n\n%------------------------------------------------------------------------\n% pavage 3\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-8u,-8u,20u,20u);\npair A,B,C,D,O;\n\nA:=(0,0);\nB:=(2u,0);\nD:=(0,2u);\nC:= D shifted(B-A);\nO:= 0.5[A,C];\n\n\npicture figd,figi,fig;\ncurrentpicture:=nullpicture;\n\n\ntrace (u,0)--(u,0.5u)--(1.5u,0.5u)--(1.5u,1.5u)--(u,1.5u)--(u,2u) withcolor orange withpen pencircle scaled 3bp;\ntrace (2u,u)--(0,u) withcolor orange withpen pencircle scaled 3bp;\nfigd:=currentpicture;\n\nfigi:=figd rotatedaround (O,180);\n\n\nfor i:=0 upto 6:\n  for j:=0 upto 6:\n    fig :=figd shifted (i*4u,j*4u);\n    draw fig;% withcolor green;\n    fig :=figd shifted (i*4u+2u,j*4u+2u);\n    draw fig;% withcolor green;    \n    fig :=figi shifted (i*4u+2u,j*4u);\n    draw fig;% withcolor orange;\n    fig :=figi shifted (i*4u,j*4u+2u);\n    draw fig;% withcolor orange;    \n  endfor;\nendfor;\n\n\nmarque_p:=\"croix\";\nnomme.urt(O);\n\ndraw A--B--C--D--cycle;\n\nfin;\n%-----------------------------------------------------------------------\n\n%------------------------------------------------------------------------\n% pavage 4\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-8u,-8u,20u,20u);\npair A,B,C,D,O;\n\nA:=(0,0);\nB:=(2u,0);\nD:=(0,2u);\nC:= D shifted(B-A);\nO:= 0.5[A,C];\n\n\npicture figd,figi,fig;\ncurrentpicture:=nullpicture;\n\npath tri;\n\ntri:=A--B--C--(1.5u,0.5u)--cycle ;\nfill tri withcolor orange;\n\n\n\nfigd:=currentpicture;\n\nfigi:=figd rotatedaround (O,180);\n\n\nfor i:=0 upto 6:\n  for j:=0 upto 6:\n    fig :=figd shifted (i*4u,j*4u);\n    draw fig;% withcolor green;\n    fig :=figd shifted (i*4u+2u,j*4u+2u);\n    draw fig;% withcolor green;    \n    fig :=figi shifted (i*4u+2u,j*4u);\n    draw fig;% withcolor orange;\n    fig :=figi shifted (i*4u,j*4u+2u);\n    draw fig;% withcolor orange;    \n  endfor;\nendfor;\n\n\nmarque_p:=\"croix\";\nnomme.urt(O);\n\ndraw A--B--C--D--cycle;\n\nfin;\n%-----------------------------------------------------------------------\n\n%------------------------------------------------------------------------\n% pavage 5\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-8u,-8u,20u,20u);\npair A,B,C,D,O;\n\nA:=(0,0);\nB:=(2u,0);\nD:=(0,2u);\nC:= D shifted(B-A);\nO:= 0.5[A,C];\n\n\npicture figd,figi,fig;\ncurrentpicture:=nullpicture;\n\npath tri;\n\ntri:=A--(0.5u,0)--(0.5u,0.5u)--(0,0.5u)--cycle ;\nfill tri withcolor orange;\ntri:=C--(1.5u,2u)--(1.5u,1.5u)--(2u,1.5u)--cycle ;\nfill tri withcolor orange;\n%trace (0.5u,0.5u)--(1.5u,1.5u) withcolor orange withpen pencircle scaled 3bp;\n\n\nfigd:=currentpicture;\n\nfigi:=figd rotatedaround (O,180);\n\n\nfor i:=0 upto 6:\n  for j:=0 upto 6:\n    fig :=figd shifted (i*4u,j*4u);\n    draw fig;% withcolor green;\n    fig :=figd shifted (i*4u+2u,j*4u+2u);\n    draw fig;% withcolor green;    \n    fig :=figi shifted (i*4u+2u,j*4u);\n    draw fig;% withcolor orange;\n    fig :=figi shifted (i*4u,j*4u+2u);\n    draw fig;% withcolor orange;    \n  endfor;\nendfor;\n\n\nmarque_p:=\"croix\";\nnomme.urt(O);\n\ndraw A--B--C--D--cycle;\n\nfin;\n%-----------------------------------------------------------------------\n\n%------------------------------------------------------------------------\n% pavage 6\n%------------------------------------------------------------------------\n\nu:=1cm;\nfigure (-8u,-8u,20u,20u);\npair A,B,C,D,O;\n\nA:=(0,0);\nB:=(2u,0);\nD:=(0,2u);\nC:= D shifted(B-A);\nO:= 0.5[A,C];\n\n\npicture figd,figi,fig;\ncurrentpicture:=nullpicture;\n\n\ntrace (0.5u,0)--(0.5u,1.5u)--(u,1.5u) withcolor orange withpen pencircle scaled 3bp;\ntrace (0,u)--(0.5u,u) withcolor orange withpen pencircle scaled 3bp;\ntrace (1.5u,u)--(2u,u) withcolor orange withpen pencircle scaled 3bp;\ntrace (u,0.5u)--(1.5u,0.5u)--(1.5u,2u) withcolor orange withpen pencircle scaled 3bp;\n\nfigd:=currentpicture;\n\nfigi:=figd rotatedaround (O,180);\n\n\nfor i:=0 upto 6:\n  for j:=0 upto 6:\n    fig :=figd shifted (i*4u,j*4u);\n    draw fig;% withcolor green;\n    fig :=figd shifted (i*4u+2u,j*4u+2u);\n    draw fig;% withcolor green;    \n    fig :=figi shifted (i*4u+2u,j*4u);\n    draw fig;% withcolor orange;\n    fig :=figi shifted (i*4u,j*4u+2u);\n    draw fig;% withcolor orange;    \n  endfor;\nendfor;\n\n\nmarque_p:=\"croix\";\nnomme.urt(O);\n\ndraw A--B--C--D--cycle;\n\nfin;\n%-----------------------------------------------------------------------\n\n\n\n%-----------------------------------------------------------------------\nend ;\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Voici le code :<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2408,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-122","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>Exemples de pavages par sym\u00e9trie centrale - 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\/exemples-de-pavages-par-symetrie-centrale\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Exemples de pavages par sym\u00e9trie centrale - Maths &amp; 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