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I've recently been solving some of the questions in the PROMYS entrance test. I like how the last few problems seem puzzle-like (I mean that you wouldn't expect to find them on a maths exam), but they're still challenging (to me). They don't feel 'technical', unlike most olympiad problems. Does anyone have any suggestions as for where I can find other such problems?

rishikesh
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    What are "such problems" exactly? Can you give an example? – Dietrich Burde Feb 27 '20 at 17:58
  • Let P0 be an equilateral triangle of area 10. Each side of P0 is trisected, and the corners are snipped off, creating a new polygon (in fact, a hexagon) P1. What is the area of P1? Now repeat the process to P1 – i.e. trisect each side and snip off the corners – to obtain a new polygon P2. What is the area of P2? Now repeat this process infinitely often to create an object P∞. What is the area of P∞? note: please do not comment on the solution since the application form is still open – rishikesh Feb 27 '20 at 18:00
  • One might not require much mathematical knowledge to solve that problem, but it's still not 'easy' – rishikesh Feb 27 '20 at 18:02

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