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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:
