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 February 21st, 2019, 09:03 AM #1 Newbie   Joined: Aug 2018 From: alberta Posts: 2 Thanks: 0 Figurate number question Figurate / Polygonal Number Question : I recently saw the posts on 'reversing figurate number' evaluations at these links on the forum here ; Figurate numbers - deriving backwards - Physics and Mathematics - Science Forums Polygonal Numbers - Backwards Derivations - Physics and Mathematics - Science Forums QUESTION : I'd like to be able to find the diameter of any 2d or 3d polygonal, figurate number with 3,4,5, or more sides - based on the figurate number being comprised of circles that have a diameter of 1 inch each. Id like to be able to describe this with a simple formula that I can use for any shaped polygonal number, so for example I could apply this to a square number or a cube number, a pentagonal number, etc... I think the total circle area would play a part in this? Any insights and or meaningful feedback, especially tips on how to construct such a formula would be greatly appreciated! Thank you! A

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