{"id":1011,"date":"2018-01-15T21:43:21","date_gmt":"2018-01-15T21:43:21","guid":{"rendered":"http:\/\/hein.artstage.nl\/?p=1011"},"modified":"2018-01-15T21:43:21","modified_gmt":"2018-01-15T21:43:21","slug":"fractal-bolspiraal","status":"publish","type":"post","link":"https:\/\/hein.artstage.nl\/?p=1011","title":{"rendered":"Fractal : Bolspiraal"},"content":{"rendered":"

Met een 3d versie van de spiraal krijg je een bol en dat is natuurlijk ook een fractal.<\/p>\n

Klik hier voor een voorbeeld<\/a><\/p>\n

<HTML><\/div>\n
<BODY><\/div>\n
<br><\/div>\n
<br><\/div>\n
<!– Bolspiraal –><\/div>\n
<canvas id=”myCanvas” width=”1000″ height=”800″><\/div>\n
<\/canvas><\/div>\n
<SCRIPT><\/div>\n
var TekenOppervlak = document.getElementById(“myCanvas”);<\/div>\n
var TekenVlak = TekenOppervlak.getContext(“2d”);<\/div>\n
TekenVlak.fillStyle = ‘black’;<\/div>\n
TekenVlak.strokeStyle = ‘black’;<\/div>\n
var PI = Math.PI;<\/div>\n
var P = 1 \/ Math.sqrt (2);<!– Projectie getal –><\/div>\n
var M = 0;<!– Loop counter –><\/div>\n
var S = 0;<\/div>\n
var X = 0;<\/div>\n
var Y = 0;<\/div>\n
var A = 0.2;<!– Spiraal constante –><\/div>\n
var C = 0.9;<!– Helling projectievlak –><\/div>\n
var Q = P * Math.sqrt(1 – C * C);<!– Projectie getal –><\/div>\n
var Zx = 100;<!– Zoom factor –><\/div>\n
var Zy = 100;<!– Zoom factor –><\/div>\n
var Xmid = 300;<\/div>\n
var Ymid = 200;<\/div>\n
var Titel = “Fractal : Bolspiraal”;<\/div>\n
var Bodem = “\\u00A9 H.L. Muller 2016”;<\/div>\n
<\/div>\n
TekenVlak.font = “16pt sans-serif”;<\/div>\n
TekenVlak.fillText(Titel,20,20);<\/div>\n
<\/div>\n
N = -500;<\/div>\n
while (N < 501){<\/div>\n
S = N * \u00a0PI \/ 50;<\/div>\n
T = Math.atan(A * S);<\/div>\n
X = Math.cos(S) * Math.cos(T);<\/div>\n
Y = Math.sin(S) * Math.cos(T);<\/div>\n
Z = -1 * Math.sin(T);<\/div>\n
U = P * (Y – X);<\/div>\n
V = (C * Z) – (Q * (X + Y));<\/div>\n
<\/div>\n
if (N == -500){<\/div>\n
X1rel = Xmid + (U * Zx);<\/div>\n
Y1rel = Ymid + (V * Zx);<\/div>\n
TekenVlak.moveTo (X1rel, Y1rel);<\/div>\n
TekenVlak.stroke();<\/div>\n
}<\/div>\n
else {<\/div>\n
X1rel = Xmid + (U * Zx);<\/div>\n
Y1rel = Ymid + (V * Zy);<\/div>\n
TekenVlak.lineTo (X1rel, Y1rel);<\/div>\n
TekenVlak.stroke();<\/div>\n
}<\/div>\n
N++;<\/div>\n
}<\/div>\n
<\/div>\n
TekenVlak.fillStyle = ‘black’;<\/div>\n
TekenVlak.font = “8pt sans-serif”;<\/div>\n
TekenVlak.fillText(Bodem,20,380);<\/div>\n
TekenVlak.stroke();<\/div>\n
<\/div>\n
<\/SCRIPT><\/div>\n
<br><\/div>\n
<\/BODY><\/div>\n
<\/HTML><\/div>\n","protected":false},"excerpt":{"rendered":"

Met een 3d versie van de spiraal krijg je een bol en dat is natuurlijk ook een fractal. Klik hier voor een voorbeeld <HTML> <BODY> <br> <br> <!– Bolspiraal –> <canvas id=”myCanvas” width=”1000″ height=”800″> <\/canvas> <SCRIPT> var TekenOppervlak = document.getElementById(“myCanvas”); var TekenVlak = TekenOppervlak.getContext(“2d”); TekenVlak.fillStyle = ‘black’; TekenVlak.strokeStyle = ‘black’; var PI = Math.PI; var […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[51,49],"tags":[],"class_list":["post-1011","post","type-post","status-publish","format-standard","hentry","category-html-canvas","category-code-experiments"],"_links":{"self":[{"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=\/wp\/v2\/posts\/1011","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1011"}],"version-history":[{"count":1,"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=\/wp\/v2\/posts\/1011\/revisions"}],"predecessor-version":[{"id":1012,"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=\/wp\/v2\/posts\/1011\/revisions\/1012"}],"wp:attachment":[{"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1011"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1011"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hein.artstage.nl\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1011"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}