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Unnamed comments on Harry Potter and the Methods of Rationality discussion thread, part 17, chapter 86 - Less Wrong Discussion

9 Post author: Alsadius 17 December 2012 07:19AM

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Comment author: Unnamed 18 December 2012 11:13:23PM 4 points [-]

"Well, there must've been some sort of love triangle," said a second-year witch named Samantha Crowley (she never answered when asked if there was any relation). "The question is, which ways was it going before it all went wrong? Who was in love with who - and whether or not that person loved them back - I don't know how many possibilities there are -"

"Sixty-four," said Sarah Varyabil, a blossoming beauty who probably should've been Sorted into Ravenclaw or Hufflepuff instead. "No, wait, that's wrong. I mean, if nobody loved Malfoy and Malfoy didn't love anyone then he wouldn't really be part of the love triangle... this is going to take Arithmancy, could you all wait two minutes?"

Svsgl-sbhe.

Comment author: Tenek 19 December 2012 05:02:15PM 3 points [-]

Makes sense. Six possible one-directional (A loves B, B loves A, etc) relationships that can be either present or not, so 2^6 = 64. Each person has 3 graphs where they're disconnected but the others are not (A loves B, B loves A, A and B love each other), and one where there are no connections at all. 64 - 3*3 - 1 = 54.

Comment author: DanielLC 06 June 2013 06:49:11AM 1 point [-]

There's thirteen kinds of Triang Relations (warning: TV Tropes), but that counts, for example, both love Draco the same as both love Harry.

Comment author: fractalman 06 June 2013 06:03:26AM 0 points [-]

4, actually, since "nobody loved draco and draco loved nobody", we're left with Hermione and Harry, which leaves a mere two one-directional options. 2^2=4.

Comment author: Desrtopa 06 June 2013 06:13:12AM 1 point [-]

"Draco loves nobody and nobody loves Draco" isn't a given, it's a subset of possible "love triangle" conditions which can be ruled out on the basis of their invalidating the love triangle premise. Configurations in which either Harry or Hermione neither love nor are loved by anyone would also be excluded.

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