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BS 116/13 Niklas, Christian
 
BS 116/13 Niklas, Christian
 
[[Bild:Von Koch curve.gif]]
 
[[Bild:Von Koch curve.gif]]
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== Die Schachbrettaufgabe 2 ==
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*Wie viele Körner braucht man, wenn man auf ein Schachbrett ins erste Feld ein Korn, ins zweite Feld doppelt so viel, usw.... legt?
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{| style="background-color:#F4A460; spacing:0em; padding:0em"
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| width="100px" height="100px" style="background-color:#FFFFFF"|
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<center><span style="font-size:12pt;"><u style="color:#F34F55;background:#F34F55">1 <small><sup>2</sup></small></u></span>  </center>
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| width="100px" height="100px" style="background-color:#FFFFFF"|
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<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">2</u></span></center>
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| width="100px" height="100px" style="background-color:#FFFFFF"|
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<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">4</u></span></center>
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 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
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<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">8</u></span></center>
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 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
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<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">16</u></span></center>
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 +
|-
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
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<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">32</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">64</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
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<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">128</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">256</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">512</u></span></center>
 +
 +
 +
|-
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
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<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">1024</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">2048</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">4096</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">8192</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">16384</u></span></center>
 +
 +
|-
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
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<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">32768</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">65536</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">131072</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">262144</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">524288</u></span></center>
 +
 +
|-
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">1048576</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">2097152</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">4194304</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">8388608</u></span></center>
 +
 +
| width="100px" height="100px" style="background-color:#FFFFFF"|
 +
<center><span style="font-size:14pt;"><u style="color:#F34F55;background:#F34F55">16777216</u></span></center>
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 +
|}
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[[Bild:schachbrett.jpg]]
  
 
== Reste ==
 
== Reste ==

Version vom 4. April 2008, 20:12 Uhr

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Ideen

Potenzen

BS 116/13 Niklas, Christian Von Koch curve.gif

Die Schachbrettaufgabe 2

  • Wie viele Körner braucht man, wenn man auf ein Schachbrett ins erste Feld ein Korn, ins zweite Feld doppelt so viel, usw.... legt?
1 2
2
4
8
16
32
64
128
256
512


1024
2048
4096
8192
16384
32768
65536
131072
262144
524288
1048576
2097152
4194304
8388608
16777216

Schachbrett.jpg

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