Author Archives: apgoucher

MOG results released

Posted on October 11, 2013 by apgoucher

MOG results released The results for the aforementioned Mathematical Olympiad for Girls have now been released on Joseph Myers’ website. There are impressively many excellent scores, as compared with previous years, including some names previously unknown to us. Hence, the … Continue reading →

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What should this group be called?

Posted on October 10, 2013 by apgoucher

Consider the Riemann sphere, obtained by adjoining a ‘point at infinity’ to the complex plane. The conformal maps from the Riemann sphere to itself form a group, the Möbius group, which is abstractly isomorphic to (and also the proper orthochronous … Continue reading →

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Cipher 48: Endoplasmic reticulum

Posted on October 7, 2013 by apgoucher

After an important and immersive conversation lasting no fewer than four hours, I had very little time to compile this particular cipher. Its appearance reminded me of the endoplasmic reticulum surrounding the nuclei of biological cells, hence the name. I would … Continue reading →

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Proper classes

Posted on October 7, 2013 by apgoucher

I apologise for the sporadicity of recent cp4space posts, but I do have several legitimate excuses (including MOG marking, which occupied a significant portion of yesterday). Naturally, it would be improper for me to prematurely release the results, so you’ll have to … Continue reading →

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Molecular geometry

Posted on October 3, 2013 by apgoucher

The Tammes problem asks for an arrangement of n points on the surface of a sphere, which maximises the minimum distance between any two points. This can be regarded as the classic problem of circle packing, but on the sphere (endowed with … Continue reading →

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Cipher 47: Plughole

Posted on September 30, 2013 by apgoucher

At the moment, assuming everything has gone according to plan, I should currently be on a northward-bound train, returning from Kevin Buzzard’s talk at the Royal Society. As with some of the earlier ciphers, this is bipartite, consisting of both an image … Continue reading →

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Lattice gases and conformal maps

Posted on September 29, 2013 by apgoucher

Any fluid dynamicist would be able to tell you that fluids obey partial differential equations such as the Navier-Stokes equations. This macroscopic behaviour should, and indeed can, be derived from applying Newton’s laws of motion to the individual molecules in the … Continue reading →

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The Whetstone of Witte

Posted on September 27, 2013 by apgoucher

The first instance of the concept of a symbolic mathematical equation is usually attributed to Robert Recorde, a Welsh mathematician, in a 1557 book with the rather verbose title ‘The Whetstone of Witte, whiche is the seconde parte of Arithmeteke: containing the … Continue reading →

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MOG

Posted on September 25, 2013 by apgoucher

Since the conception of the European Girls’ Mathematical Olympiad (henceforth abbreviated to EGMO), the British Mathematical Olympiad Committee has run an annual national olympiad specifically for aspiring female mathematicians. The third edition of the Mathematical Olympiad for Girls (MOG) takes place … Continue reading →

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Cipher 46: Hellenic Angler Leviathan

Posted on September 24, 2013 by apgoucher

+39256408486145507991522778312122523892525408578736546 Sorry about the cryptic title and lack of hints.

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