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[[Image:KTurtle-sierpinski-triangle.png|600px|center]]
[[Image:KTurtle-sierpinski-triangle.png|600px|center]]


==Heighway Dragon==
==Heighways drage==


Another famous fractal is the [http://en.wikipedia.org/wiki/Dragon_curve Heighway Dragon].
Another famous fractal is the [http://en.wikipedia.org/wiki/Dragon_curve Heighway Dragon].

Revision as of 19:26, 3 September 2012

Home » Applications » Education » KTurtle » da

Tip

Scriptformattering er resultatet af en "HTML-eksport" af KTurtle.



Koch kurve

Dette er en fraktal kurve. Du kan finde mere information om den på Wikipedia.

Logo-script:

<span style="color: #a0a0a4;"># Koch curve</span><br /><br /><span style="color: #000080;">reset</span><br /><span style="color: #000080;">canvassize</span>&nbsp;<span style="color: #800000;">850</span>,&nbsp;<span style="color: #800000;">550</span><br /><span style="color: #000080;">go</span>&nbsp;<span style="color: #800000;">125</span>,&nbsp;<span style="color: #800000;">350</span><br /><span style="color: #000080;">turnright</span>&nbsp;<span style="color: #800000;">90</span><br /><br /><span style="color: #00ff00; font-weight: bold;">learn</span>&nbsp;koch&nbsp;<span style="color: #800080; font-weight: bold;">$x</span>,&nbsp;<span style="color: #800080; font-weight: bold;">$t</span>&nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;<span style="color: #000000; font-weight: bold;">if</span> <span style="color: #800080; font-weight: bold;">$t</span><span style="color: #5a64ff; font-weight: bold;">&gt;</span><span style="color: #800000;">0</span> &nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #800080; font-weight: bold;">$t</span><span style="color: #000000; font-weight: bold;">=</span><span style="color: #800080; font-weight: bold;">$t</span><span style="color: #808080; font-weight: bold;">-</span><span style="color: #800000;">1</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #800080; font-weight: bold;">$x</span><span style="color: #000000; font-weight: bold;">=</span><span style="color: #800080; font-weight: bold;">$x</span><span style="color: #808080; font-weight: bold;">/</span><span style="color: #800000;">3</span><br />&nbsp;&nbsp;&nbsp;&nbsp;koch&nbsp;<span style="color: #800080; font-weight: bold;">$x</span>,&nbsp;<span style="color: #800080; font-weight: bold;">$t</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000080;">turnleft</span>&nbsp;<span style="color: #800000;">60</span><br />&nbsp;&nbsp;&nbsp;&nbsp;koch&nbsp;<span style="color: #800080; font-weight: bold;">$x</span>,&nbsp;<span style="color: #800080; font-weight: bold;">$t</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000080;">turnright</span>&nbsp;<span style="color: #800000;">120</span><br />&nbsp;&nbsp;&nbsp;&nbsp;koch&nbsp;<span style="color: #800080; font-weight: bold;">$x</span>,&nbsp;<span style="color: #800080; font-weight: bold;">$t</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000080;">turnleft</span>&nbsp;<span style="color: #800000;">60</span><br />&nbsp;&nbsp;&nbsp;&nbsp;koch&nbsp;<span style="color: #800080; font-weight: bold;">$x</span>,&nbsp;<span style="color: #800080; font-weight: bold;">$t</span><br />&nbsp;&nbsp;<span style="color: #008000; font-weight: bold;">}</span>&nbsp;<span style="color: #000000; font-weight: bold;">else</span>&nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;<span style="color: #000080;">forward</span>&nbsp;<span style="color: #800000;">3</span><span style="color: #808080; font-weight: bold;">*</span><span style="color: #800080; font-weight: bold;">$x</span>&nbsp;<br />&nbsp;&nbsp;<span style="color: #008000; font-weight: bold;">}</span><br /><span style="color: #008000; font-weight: bold;">}</span><br />koch&nbsp;<span style="color: #800000;">200</span>,&nbsp;<span style="color: #800000;">6</span>

Resultat:

Sierpinski-trekant

En anden berømt fraktal er Sierpinski-trekanten.

Logo-script:

<span style="color: #a0a0a4;"># Sierpinski triangle</span><br /><br /><span style="color: #00ff00; font-weight: bold;">learn</span>&nbsp;sierp&nbsp;<span style="color: #800080; font-weight: bold;">$l</span>&nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;<span style="color: #000000; font-weight: bold;">if</span>&nbsp;<span style="color: #800080; font-weight: bold;">$l</span>&nbsp;<span style="color: #5a64ff; font-weight: bold;">&gt;</span>&nbsp;<span style="color: #800000;">2</span>&nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000000; font-weight: bold;">repeat</span>&nbsp;<span style="color: #800000;">3</span>&nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;sierp&nbsp;<span style="color: #800080; font-weight: bold;">$l</span><span style="color: #808080; font-weight: bold;">/</span><span style="color: #800000;">2</span><br />&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000080;">forward</span>&nbsp;<span style="color: #800080; font-weight: bold;">$l</span><br />&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000080;">turnleft</span>&nbsp;<span style="color: #800000;">120</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #008000; font-weight: bold;">}</span><br />&nbsp;&nbsp;<span style="color: #008000; font-weight: bold;">}</span><br /><span style="color: #008000; font-weight: bold;">}</span><br /><br /><span style="color: #000080;">reset</span><br /><span style="color: #000080;">canvassize</span>&nbsp;<span style="color: #800000;">600</span>,&nbsp;<span style="color: #800000;">533</span><br /><span style="color: #000080;">go</span>&nbsp;<span style="color: #800000;">50</span>,&nbsp;<span style="color: #800000;">483</span><br /><span style="color: #000080;">turnright</span>&nbsp;<span style="color: #800000;">90</span><br />sierp&nbsp;<span style="color: #800000;">500</span>

Resultat:

Heighways drage

Another famous fractal is the Heighway Dragon.

Logo script:

<span style="color: #a0a0a4;"># Heighway dragon</span><br /><br /><span style="color: #000080;">reset</span><br /><span style="color: #000080;">canvassize</span>&nbsp;<span style="color: #800000;">500</span>,&nbsp;<span style="color: #800000;">500</span><br /><span style="color: #000080;">go</span>&nbsp;<span style="color: #800000;">320</span>,&nbsp;<span style="color: #800000;">400</span><br /><span style="color: #000080;">turnright</span>&nbsp;<span style="color: #800000;">90</span><br /><span style="color: #800080; font-weight: bold;">$size</span>&nbsp;<span style="color: #000000; font-weight: bold;">=</span>&nbsp;<span style="color: #800000;">7</span><br /><br /><span style="color: #00ff00; font-weight: bold;">learn</span>&nbsp;X&nbsp;<span style="color: #800080; font-weight: bold;">$depth</span>&nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;<span style="color: #000000; font-weight: bold;">if</span>&nbsp;<span style="color: #800080; font-weight: bold;">$depth</span><span style="color: #5a64ff; font-weight: bold;">&gt;</span><span style="color: #800000;">0</span>&nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;&nbsp;&nbsp;X&nbsp;<span style="color: #800080; font-weight: bold;">$depth</span><span style="color: #808080; font-weight: bold;">-</span><span style="color: #800000;">1</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000080;">turnleft</span>&nbsp;<span style="color: #800000;">90</span><br />&nbsp;&nbsp;&nbsp;&nbsp;Y&nbsp;<span style="color: #800080; font-weight: bold;">$depth</span><span style="color: #808080; font-weight: bold;">-</span><span style="color: #800000;">1</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000080;">forward</span>&nbsp;<span style="color: #800080; font-weight: bold;">$size</span><br />&nbsp;&nbsp;<span style="color: #008000; font-weight: bold;">}</span><br /><span style="color: #008000; font-weight: bold;">}</span><br /><br /><span style="color: #00ff00; font-weight: bold;">learn</span>&nbsp;Y&nbsp;<span style="color: #800080; font-weight: bold;">$depth</span>&nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;<span style="color: #000000; font-weight: bold;">if</span>&nbsp;<span style="color: #800080; font-weight: bold;">$depth</span><span style="color: #5a64ff; font-weight: bold;">&gt;</span><span style="color: #800000;">0</span>&nbsp;<span style="color: #008000; font-weight: bold;">{</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000080;">forward</span>&nbsp;<span style="color: #800080; font-weight: bold;">$size</span><br />&nbsp;&nbsp;&nbsp;&nbsp;X&nbsp;<span style="color: #800080; font-weight: bold;">$depth</span><span style="color: #808080; font-weight: bold;">-</span><span style="color: #800000;">1</span><br />&nbsp;&nbsp;&nbsp;&nbsp;<span style="color: #000080;">turnright</span>&nbsp;<span style="color: #800000;">90</span><br />&nbsp;&nbsp;&nbsp;&nbsp;Y&nbsp;<span style="color: #800080; font-weight: bold;">$depth</span><span style="color: #808080; font-weight: bold;">-</span><span style="color: #800000;">1</span><br />&nbsp;&nbsp;<span style="color: #008000; font-weight: bold;">}</span><br /><span style="color: #008000; font-weight: bold;">}</span><br /><br /><span style="color: #000080;">pencolor</span>&nbsp;<span style="color: #800000;">0</span>,<span style="color: #800000;">255</span>,<span style="color: #800000;">0</span><br /><span style="color: #000080;">forward</span>&nbsp;<span style="color: #800080; font-weight: bold;">$size</span><br />X&nbsp;<span style="color: #800000;">10</span><br /><span style="color: #000080;">turnleft</span>&nbsp;<span style="color: #800000;">90</span><br /><span style="color: #000080;">pencolor</span>&nbsp;<span style="color: #800000;">255</span>,<span style="color: #800000;">0</span>,<span style="color: #800000;">0</span><br />Y&nbsp;<span style="color: #800000;">10</span><br /><span style="color: #000080;">forward</span>&nbsp;<span style="color: #800080; font-weight: bold;">$size</span><br /><br /><span style="color: #000080;">go</span>&nbsp;<span style="color: #800000;">50</span>,<span style="color: #800000;">450</span>

Result: