Sierpinski curve: Difference between revisions

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<html>
<html>
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
<form><textarea id="inputtext" rows=10 cols=35 wrap="off" style="width:600px;">
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script>
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxturtle.js"></script>
<form><textarea id="inputtext" rows=3 cols=35 wrap="off" style="width:600px;">
function halfSierpinski(s,l) {
function halfSierpinski(s,l) {
     if (l==0) {
     if (l==0) {
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t.cs();
t.cs();
t.ht();
t.ht();
r = 4;
level = 3;
t.setPos(0,-300);
t.setPos(0,-300);
sierpinski(150/Math.pow(2,r),r);
sierpinski(150/Math.pow(2,level),level);
</textarea><br />
</textarea><br />
<input type="button" value="run" onClick="run()">
<input type="button" value="run" onClick="run()">
<input type="button" value="clear" onClick="clearturtle()">
<input type="button" value="clear" onClick="clearturtle()">
</form>
</form>
<div id="box" class="jxgbox" style="width:600px; height:600px;"></div>
</html>
<script language="JavaScript">
<jsxgraph width="600" height="600" box="box">
var brd = JXG.JSXGraph.initBoard('box', {originX: 300, originY: 300, unitX: 1, unitY: 1});
var brd = JXG.JSXGraph.initBoard('box', {boundingbox: [-300, 300, 300, -300]});
var t = new JSXTurtleObj(brd);
var t = brd.create('turtle');
function run() {
function run() {
   brd.suspendUpdate();
   brd.suspendUpdate();
   var code = $('inputtext').value;
   var code = document.getElementById('inputtext').value;
   if (code=='') { return; }
   if (code=='') { return; }
   eval(code);
   eval(code);
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}
}
function clearturtle() {
function clearturtle() {
  clearTimeout(active);
   t.cs();
   t.cs();
}
}
run();
run();
</script>
</jsxgraph>
</html>


===References===
===References===
* [http://en.wikipedia.org/wiki/Sierpi%C5%84ski_curve]
* [http://en.wikipedia.org/wiki/Sierpi%C5%84ski_curve http://en.wikipedia.org/wiki/Sierpi%C5%84ski_curve]


===The source code===
===The source code===
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t.cs();
t.cs();
t.ht();
t.ht();
r = 4;
level = 3;
t.setPos(0,-300);
t.setPos(0,-300);
sierpinski(150/Math.pow(2,r),r);
sierpinski(150/Math.pow(2,level),level);
</source>
</source>


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[[Category:Turtle Graphics]]
[[Category:Turtle Graphics]]
[[Category:Fractals]]
[[Category:Fractals]]
[[Category:Curves]]

Latest revision as of 13:34, 8 June 2011


References

The source code

function halfSierpinski(s,l) {
    if (l==0) {
       t.fd(s);
    } else {
        halfSierpinski(s,l-1);
        t.lt(45);
        t.fd(s*Math.sqrt(2));
        t.lt(45);
        halfSierpinski(s,l-1);
        t.rt(90);
        t.fd(s);
        t.rt(90);
        halfSierpinski(s,l-1);
        t.lt(45);
        t.fd(s*Math.sqrt(2));
        t.lt(45);
        halfSierpinski(s,l-1);
    }
}

function sierpinski(s,l) {
    halfSierpinski(s,l);
    t.rt(90);
    t.fd(s);
    t.rt(90);
    halfSierpinski(s,l);
    t.rt(90);
    t.fd(s);
    t.rt(90);
}
t.cs();
t.ht();
level = 3;
t.setPos(0,-300);
sierpinski(150/Math.pow(2,level),level);