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Dette er en fraktal kurve. Du kan finde mere information om den på [http://en.wikipedia.org/wiki/Koch_snowflake Wikipedia].
Dette er en fraktal kurve. Du kan finde mere information om den på [http://en.wikipedia.org/wiki/Koch_snowflake Wikipedia].


Logo script:
Logo-script:
{{Input|1=<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>}}
{{Input|1=<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>}}
Result:
Result:

Revision as of 19:26, 3 September 2012

Other languages:

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:

# Koch curve

reset
canvassize 850550
go 125350
turnright 90

learn koch $x$t {
  if $t>0  {
    $t=$t-1
    $x=$x/3
    koch $x$t
    turnleft 60
    koch $x$t
    turnright 120
    koch $x$t
    turnleft 60
    koch $x$t
  } else {
  forward 3*$x 
  }
}
koch 2006

Result:

Sierpinski Triangle

Another famous fractal is the Sierpinski triangle.

Logo script:

# Sierpinski triangle

learn sierp $l {
  if $l > 2 {
    repeat 3 {
      sierp $l/2
      forward $l
      turnleft 120
    }
  }
}

reset
canvassize 600533
go 50483
turnright 90
sierp 500

Result:

Heighway Dragon

Another famous fractal is the Heighway Dragon.

Logo script:

# Heighway dragon

reset
canvassize 500500
go 320400
turnright 90
$size = 7

learn X $depth {
  if $depth>0 {
    X $depth-1
    turnleft 90
    Y $depth-1
    forward $size
  }
}

learn Y $depth {
  if $depth>0 {
    forward $size
    X $depth-1
    turnright 90
    Y $depth-1
  }
}

pencolor 0,255,0
forward $size
10
turnleft 90
pencolor 255,0,0
10
forward $size

go 50,450

Result: