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I am the founder of Hatsya Limited, which provides mathematical and technological solutions to realworld problems.

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Monthly Archives: February 2013
Magic squares of squares
In 1770, Leonhard Euler sent this particular curiosity to Joseph Lagrange. It’s a 4by4 magic square, all of whose entries are perfect squares. Martin Gardner offered a prize for finding a 3by3 magic square of squares. Lee Sallows found a … Continue reading
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Cipher 16: The scenic route
Cipher Tuesday has been massively successful at coinciding with special occasions. We’ve had Christmas and New Year ciphers, and now this one lands on Shrove Tuesday (on reflection, I realise that will trivially happen every year!). So, to commemorate a rather exciting … Continue reading
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BMO2 marked
A group* of twelve of us congregated in London to mark† the second round of the British Mathematical Olympiad. After several hours of marking, punctuated with a surprisingly highquality lunch, we were able to announce the scores. The high scores are available on the BMOC website; well done … Continue reading
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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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