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Recent Comments
 Luís Rato on Triangling the square
 charmvirgo on Conway polyhedron notation
 Daniel Sebald on Leech lattice
 Daniel Sebald on Spin groups
 Anonymous on Hyperbolic Minecraft
Monthly Archives: February 2013
Langton’s ant revisited
Langton’s ant is a twodimensional generalisation of a Turing machine, known as a turmite (a portmanteau of ‘Turing’ and ‘mite’, as well as being a pun on ‘termite’), renowned for its simple rules and interesting behaviour. Specifically, it has one state … Continue reading
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New perfect number discovered
A positive integer N is described as a perfect number if the sum of all of its proper divisors (that is to say, factors of N other than N) is equal to itself. For instance, the proper divisors of 28 … Continue reading
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Cipher 15: Shuffled
Neither of the last two ciphers have been solved yet; hence, I’ve made this one slightly easier for you. Good luck. The password is entirely lowercase and contains no spaces.
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cp4space = 100
This is the 100th article on cp4space, and is inspired by a discussion last night with Gabriel Gendler. Triangle centres with complex numbers Suppose we have a triangle in the Euclidean plane . We can identify the Euclidean plane with the … Continue reading
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Sphere packings, lattices and fruits
I’m going to start by describing a game that seems completely unrelated to sphere packing. The ConwayHamming game involves a halfinfinite row of green apples, each of which can either point up or down: In any configuration, all but finitely … Continue reading
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