I know that binomial coefficients are related to figurate numbers (which were studied by Greeks a loooong time ago, because of its connections to geometry). I also understand how the Pascal's triangle works and why it is so useful. What I don't understand is what was the 'spark of knowledge' that lead to someone organize it in a triangle, and how this person might have perceived the way to generate new numbers in the triangle.
2026-03-30 03:37:55.1774841875
What's so special about binomial coefficients that someone decided to organize them in a triangle?
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