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{{Tip|1=Script formatting results from the ''HTML export'' of '''KTurtle'''.}} | {{Tip|1=Script formatting results from the ''HTML export'' of '''KTurtle'''.}} | ||
<!--No need to translate this:-->{{Note|2=Note for translators|1=If you want to translate the scripts the best way is probably to create the script in KTurtle, export it as HTML, and insert the exported HTML in the respective Input templates. Alternatively, simply leave the scripts untranslated. A simpler solution using the syntaxhighlight tag is currently being investigated}} | |||
Latest revision as of 16:11, 5 September 2012
Home » Applications » Education » KTurtle » en
Koch curve
This is a fractal curve. You can find more information about this at 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> <span style="color: #800000;">850</span>, <span style="color: #800000;">550</span><br /><span style="color: #000080;">go</span> <span style="color: #800000;">125</span>, <span style="color: #800000;">350</span><br /><span style="color: #000080;">turnright</span> <span style="color: #800000;">90</span><br /><br /><span style="color: #00ff00; font-weight: bold;">learn</span> koch <span style="color: #800080; font-weight: bold;">$x</span>, <span style="color: #800080; font-weight: bold;">$t</span> <span style="color: #008000; font-weight: bold;">{</span><br /> <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #800080; font-weight: bold;">$t</span><span style="color: #5a64ff; font-weight: bold;">></span><span style="color: #800000;">0</span> <span style="color: #008000; font-weight: bold;">{</span><br /> <span style="color: #800080; font-weight: bold;">$t</span><span style="color: #000000; font-weight: bold;">=</span><span style="color: #800080; font-weight: bold;">$t</span><span style="color: #808080; font-weight: bold;">-</span><span style="color: #800000;">1</span><br /> <span style="color: #800080; font-weight: bold;">$x</span><span style="color: #000000; font-weight: bold;">=</span><span style="color: #800080; font-weight: bold;">$x</span><span style="color: #808080; font-weight: bold;">/</span><span style="color: #800000;">3</span><br /> koch <span style="color: #800080; font-weight: bold;">$x</span>, <span style="color: #800080; font-weight: bold;">$t</span><br /> <span style="color: #000080;">turnleft</span> <span style="color: #800000;">60</span><br /> koch <span style="color: #800080; font-weight: bold;">$x</span>, <span style="color: #800080; font-weight: bold;">$t</span><br /> <span style="color: #000080;">turnright</span> <span style="color: #800000;">120</span><br /> koch <span style="color: #800080; font-weight: bold;">$x</span>, <span style="color: #800080; font-weight: bold;">$t</span><br /> <span style="color: #000080;">turnleft</span> <span style="color: #800000;">60</span><br /> koch <span style="color: #800080; font-weight: bold;">$x</span>, <span style="color: #800080; font-weight: bold;">$t</span><br /> <span style="color: #008000; font-weight: bold;">}</span> <span style="color: #000000; font-weight: bold;">else</span> <span style="color: #008000; font-weight: bold;">{</span><br /> <span style="color: #000080;">forward</span> <span style="color: #800000;">3</span><span style="color: #808080; font-weight: bold;">*</span><span style="color: #800080; font-weight: bold;">$x</span> <br /> <span style="color: #008000; font-weight: bold;">}</span><br /><span style="color: #008000; font-weight: bold;">}</span><br />koch <span style="color: #800000;">200</span>, <span style="color: #800000;">6</span>
Result:

Sierpinski Triangle
Another famous fractal is the Sierpinski triangle.
Logo script:
<span style="color: #a0a0a4;"># Sierpinski triangle</span><br /><br /><span style="color: #00ff00; font-weight: bold;">learn</span> sierp <span style="color: #800080; font-weight: bold;">$l</span> <span style="color: #008000; font-weight: bold;">{</span><br /> <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #800080; font-weight: bold;">$l</span> <span style="color: #5a64ff; font-weight: bold;">></span> <span style="color: #800000;">2</span> <span style="color: #008000; font-weight: bold;">{</span><br /> <span style="color: #000000; font-weight: bold;">repeat</span> <span style="color: #800000;">3</span> <span style="color: #008000; font-weight: bold;">{</span><br /> sierp <span style="color: #800080; font-weight: bold;">$l</span><span style="color: #808080; font-weight: bold;">/</span><span style="color: #800000;">2</span><br /> <span style="color: #000080;">forward</span> <span style="color: #800080; font-weight: bold;">$l</span><br /> <span style="color: #000080;">turnleft</span> <span style="color: #800000;">120</span><br /> <span style="color: #008000; font-weight: bold;">}</span><br /> <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> <span style="color: #800000;">600</span>, <span style="color: #800000;">533</span><br /><span style="color: #000080;">go</span> <span style="color: #800000;">50</span>, <span style="color: #800000;">483</span><br /><span style="color: #000080;">turnright</span> <span style="color: #800000;">90</span><br />sierp <span style="color: #800000;">500</span>
Result:

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