Category Archives: Uncategorized

Hyperbolic Minecraft

(Firstly, this is a test to see whether WordPress is configured to automatically link to cp4space posts as tweets from apgox. Hopefully it will succeed.) Yesterday, I received a rather interesting e-mail from Tim Hutton, lead developer of the reaction-diffusion … Continue reading

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First female Fields medallist

Tomorrow, this year’s Fields medals were awarded*. The four recipients of this prestigious quadrennial accolade have made profound advancements in their respective areas of mathematics, specifically: Artur Avila has revolutionised the study of dynamical systems, proving many hitherto open conjectures … Continue reading

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How to do geometry properly

For literally thousands of years, people have been writing books about elementary geometry. Many of these, such as Bradley and Gardiner’s Plane Euclidean Geometry, are concerned with solving problems in Euclidean geometry. They are subsequently bought by many adolescents intending to … Continue reading

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I’m still alive

So, there hasn’t been a cp4space post for over a fortnight now. I’ll now attempt to excuse this massive lapse, and hopefully convince you that what I’ve been doing in the meantime is still somewhat worthwhile. Amongst other things, I … Continue reading

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If sunflowers were square

What did Alan Turing ever do for us? Answering this question is much more subtle than one would initially imagine. He has shaped the world in at least three diverse waves of influence, which despite being apparently disparate are inextricably linked both historically … Continue reading

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Applications of quaternions

Quaternions were discovered by Sir William Rowan Hamilton in a flash of inspiration as he crossed Brougham Bridge, inscribing the following relations into one of the stones: i² = j² = k² = ijk = −1 Specifically, a quaternion is a number of the form q … Continue reading

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Cavalieri’s principle

Disclaimer (mainly to Marcus du Sautoy): The Ancient Greeks did not invent integration, and whilst I shall use Ancient Greek principles of mensuration to justify Riemann and Lebesgue integration, the Ancient Greeks did no such thing. Finding volumes of cones … Continue reading

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Bounded gaps: one year on…

It’s been just over a year since Zhang’s seminal proof that there exist infinitely many pairs of primes separated by a distance at most H = 70000000. There have been many advancements since then, and the current status is a … Continue reading

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Liquid mirror telescopes

Breaking news: Following the selection process at Oundle, the UK IMO team has now been selected. It comprises Gabriel Gendler, Frank Han, Freddie Illingworth, Warren Li, Harvey Yau and Joe Benton. It is very worrying that two of these people belonged to … Continue reading

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Meteor shower

Here’s a metaphorical meteor shower of recent news worth mentioning: The meteor shower associated with the debris of the 209P/LINEAR comet peaked in intensity last night. Apparently it wasn’t as impressive as anticipated. Alexey Nigin has discovered a 12-face golyhedron. … Continue reading

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