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27 Jun 2021 16:24:53 UTC
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Recursive mathematics art: Squares within circles and circles within squares
Recursive mathematics art: Squares within circles and circles within squares
Art by: Tiago Hands [https://www.instagram.com/tiago_hands], 27.06.2021
Music: Sci Fi [https://www.bensound.com]
...
https://www.youtube.com/watch?v=ai9XYjJN2xQ
Art by: Tiago Hands [https://www.instagram.com/tiago_hands], 27.06.2021
Music: Sci Fi [https://www.bensound.com]
...
https://www.youtube.com/watch?v=ai9XYjJN2xQ
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1. Algebraic skills {http://mathsvideos.net/useful-algebraic-formulas/}
You need to know that: √(ab) = √a√b
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This video contains a visual proof that demonstrates why 1-(1/3)+(1/9)-(1/27)+(1/81)-(1/243)-...=3/4. It can be found on page 406 of the book 'Real Analysis: A Long-Form Mathematics Textbook (2nd Edition)' by Professor Jay Cummings. As an added bonus, there is a short clip (23 iterations) where you can zoom into the final image of Jay's proof. The art was created by Tiago Hands.
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