Monthly Archives: February 2014


If I have seen further it is by standing on the shoulders of giants. This memorable quotation from Sir Isaac Newton, it has been speculated, was a subtle derogatory reference to the physical stature of his rival, Robert Hooke. Many derivative … Continue reading

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Schönhage-Strassen algorithm

Interestingly, the first article on cp4space was concerned with Fourier series and pathological functions. Assuming you haven’t read it (which is plausible, since it precluded the early-2013 popularity surge), I suppose I should start by re-introducing them. Fourier reasoned that … Continue reading

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Cipher 58: Regarding knot theory

Sorry about the slight delay in posting this cipher. There’s plenty of background contextual information, all of which will be revealed once you’ve solved it: TYFXTGXQYGTUYIIUHIFQDIXTDBQVITGEO QVTYRLOEITLYQOINBULWJLYLQOBXQPUIT GDEPDITIEITLYGTBXUVWTVDISUDGVTPUS

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Cipher 57: Inadvertent involution

This cipher happened to have a nice property, which is a complete coincidence. The original title of the cipher was supposed to be ‘vexed’, hence the filename. Hopefully you’ll have more luck with this one than its immediate predecessor, which remains … Continue reading

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Soddy’s hexlet

Suppose we have three semi-transparent light blue spheres, S1, S2 and S3, which are all externally tangent to each other. Then, we have a series of metallic green spheres, Γ0, Γ1, Γ2, Γ3, Γ4, Γ5, such that each one touches the … Continue reading

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Cipher 56: Myrmecological madness

This cipher is entirely contained within the following image: The password is eleven letters long, if that helps.

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Exotic spheres

The second round of the British Mathematical Olympiad was marked today; results are available from Joseph Myers’ website. Congratulations to everyone who featured on the leaderboard (especially Linden Ralph, who secured first place). Moreover, best of luck to the recently-appointed EGMO team of Olivia … Continue reading

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