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wiki:donuts:springsummer2014:answers:strings

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wiki:donuts:springsummer2014:answers:strings [2014/06/26 23:36]
jmb438
wiki:donuts:springsummer2014:answers:strings [2014/06/26 23:38] (current)
jmb438
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 The question remains: what is //N//? The question remains: what is //N//?
  
-To get this, we simply count the number of crossings for the maximum crossing configuration. We begin by counting the crossings involving the string going between holes 1 and 10. This string crosses every other giving us 9 crossings. Next, we move on to the string between 2 and 9. We've already counted the first string, so we will ignore ​that string. This give 8 more crossings (see below). Continuing this process, we see that we end up with //9 + 8 + 7 + ... + 1 + 0 = 45 = N// crossings.+To get this, we simply count the number of crossings for the maximum crossing configuration. We begin by counting the crossings involving the string going between holes 1 and 10. This string crosses every other giving us 9 crossings. Next, we move on to the string between 2 and 9. We've already counted the first string, so we will ignore ​it. This give 8 more crossings (see below). Continuing this process, we see that we end up with //9 + 8 + 7 + ... + 1 + 0 = 45 = N// crossings.
  
 {{:​donutquestions:​strings1.png?​300|}} {{:​donutquestions:​strings1.png?​300|}}
wiki/donuts/springsummer2014/answers/strings.1403847416.txt.gz · Last modified: 2014/06/26 23:36 by jmb438