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Copy of P = 12

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Diagram showing two different paths starting at the origin point (labeled "O") on a number line. One path (in blue, looping leftward) returns to the starting point after 2 steps and again after 2 more steps, forming a small loop. The other path (in green, looping rightward) returns after 4 steps, forming a larger loop. Arrows indicate the direction of movement along each loop.

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Sophie Maclean is a mathematician and maths communicator, currently studying for a PhD in Analytic Number Theory at Kings College London. She has previously worked as a Quantitative Trader and a Software Engineer, and now gives mathematics talks all over the UK (and Europe!). She is also a member of the team behind Chalkdust Magazine. You can follow her on Twitter at @sophietmacmaths

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