Monthly Archives: November 2012

Self-replication

A few weeks ago, arguably the greatest fan of cp4space invited me to his birthday party at the Eagle. As I mentioned in my speech, this was where Watson and Crick unveiled their proposed double-helix structure of DNA. Interestingly, the … Continue reading

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Wire tetrahedra

Hunter Spink gave me an interesting problem about a beach ball inscribed in a wire tetrahedron, since its most elegant solution uses techniques explored in the tenth chapter of Mathematical Olympiad Dark Arts. Rather than give you the problem now, … Continue reading

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The Betts problem

Alexander Betts (nee Luke) posed an interesting problem in combinatorial geometry for the Romanian Masters of Mathematics 2011: We have a finite set S of n points in the plane, {A1, A2, …, An}, such that (for all i and j) the … Continue reading

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Responses

It’s Guy Fawkes Night now and I’ve had to update the seasonal banner yet again. There are a few late items of news I would like to mention: Firstly, thanks go to everyone who has sent me feedback regarding MODA; I have … Continue reading

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Final chapter of MODA

I am pleased to announce that you can now download and view any of the (draft) chapters of Mathematical Olympiad Dark Arts. Any comments, corrections or suggestions you send me would be greatly appreciated. I’ll incorporate these into the book before publishing … Continue reading

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NP-triv

The P versus NP conjecture essentially asks whether any problem whose solution can be easily verified can also be easily solved. Here, ‘easily’ technically means ‘computed in polynomial time on a Turing machine’. If you think for a moment, it … Continue reading

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