{"id":201,"date":"2014-12-10T17:51:55","date_gmt":"2014-12-10T16:51:55","guid":{"rendered":"http:\/\/atwrk.phae.eu\/?p=201"},"modified":"2014-12-15T19:52:26","modified_gmt":"2014-12-15T18:52:26","slug":"visuel-plane-spatia","status":"publish","type":"post","link":"https:\/\/atwrk.phae.eu\/?p=201","title":{"rendered":"visuel PLANE SPATIA"},"content":{"rendered":"<p>Visuel inspir\u00e9 de la forme du d\u00f4me du plan\u00e9tarium, per\u00e7u comme une matrice d&rsquo;espace (ressemble \u00e0 un rep\u00e8re).<!--more-->Ce rep\u00e8re spatial est pour moi une sorte de port\u00e9e\/mesure de l&rsquo;espace \u00e0 la mani\u00e8re de la port\u00e9e\/mesure de la notation musicale, en divisions m\u00e9triques.<\/p>\n<p>Comme nous n&rsquo;avions qu&rsquo;une photo de mauvaise qualit\u00e9, j&rsquo;ai reproduit le visuel en le remodelant en 3D. J&rsquo;y ai remarqu\u00e9 les divisions successives par multiple de deux, ce que j&rsquo;avais appel\u00e9 <em>6*2^i architecture.<\/em><\/p>\n<p><a href=\"https:\/\/atwrk.phae.eu\/wp-content\/uploads\/2014\/12\/P1020287.jpg\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-204\" src=\"https:\/\/atwrk.phae.eu\/wp-content\/uploads\/2014\/12\/P1020287-500x333.jpg\" alt=\"P1020287\" width=\"500\" height=\"333\" srcset=\"https:\/\/atwrk.phae.eu\/wp-content\/uploads\/2014\/12\/P1020287-500x333.jpg 500w, https:\/\/atwrk.phae.eu\/wp-content\/uploads\/2014\/12\/P1020287-1024x682.jpg 1024w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/a><\/p>\n<p>Note technique : cela m&rsquo;a permis d&rsquo;apprendre ce qu&rsquo;est la corde et d&rsquo;en impl\u00e9menter les \u00e9quations :<\/p>\n<p>formules bas\u00e9es sur : <a href=\"http:\/\/fr.wikipedia.org\/wiki\/Segment_circulaire\">http:\/\/fr.wikipedia.org\/wiki\/Segment_circulaire<\/a><\/p>\n<p><code>float R = 200; \/\/ R rayon<br \/>\nfloat a = radians(mouseY\/2.0); \/\/ 0 (angle)<\/code><\/p>\n<p style=\"padding-left: 30px;\">longueur de la corde\u00a0\u00a0 <strong>c = 2R sin(a\/2)<\/strong><\/p>\n<p><code>float c; \/\/ longueur de la corde (diam\u00e8tre)<br \/>\nc = 2 * R * sin(a\/2.0);<\/code><\/p>\n<p style=\"padding-left: 30px;\">hauteur de la corde\u00a0\u00a0 <strong>h = R ( 1- cos(a\/2) )<\/strong><\/p>\n<p><code>float h; \/\/ hauteur de la corde (translate)<br \/>\nh = R * (1.0 - cos(a\/2.0));<br \/>\n<\/code><\/p>\n<p>D\u00e9sormais ce que je voudrais faire c&rsquo;est rendre autonomes les segments de division de cet espace, c&rsquo;est-\u00e0-dire que cet espace n&rsquo;existe que parce qu&rsquo;on identifie dans les courbes une sph\u00e8re. C&rsquo;est m\u00ealer la mesure et les notes, le support (espace, port\u00e9e, condition de possibilit\u00e9) et le contenu (contingent).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Visuel inspir\u00e9 de la forme du d\u00f4me du plan\u00e9tarium, per\u00e7u comme une matrice d&rsquo;espace (ressemble \u00e0 un rep\u00e8re).<\/p>\n","protected":false},"author":1,"featured_media":205,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[62,2],"tags":[111,81,112,109,64,86,28,70,84,113,95,97,72,110,108],"_links":{"self":[{"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=\/wp\/v2\/posts\/201"}],"collection":[{"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=201"}],"version-history":[{"count":7,"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=\/wp\/v2\/posts\/201\/revisions"}],"predecessor-version":[{"id":210,"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=\/wp\/v2\/posts\/201\/revisions\/210"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=\/wp\/v2\/media\/205"}],"wp:attachment":[{"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=201"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=201"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/atwrk.phae.eu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=201"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}