Things get COMPLEX with the Lucas Golden Ratio!

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In this video we generalize the golden ratio by using Lucas Polynomials. With our formula, we find some crazy results the involve complex numbers!

Lucas Polynomials

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  1. Dr. Weselcouch
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Комментарии
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How is it possible that I have never heard of the Lucas polynomials before watching your videos? They're fascinating.

luisaleman
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This was really cool! I love how you incorporated the exponential form of complex numbers at the end!👍

premiermathchannel
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Good stuff here :) Is there some sense of convergence that makes it true?

MathVisualProofs
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I think this was one of your coolest videoes so far🙂🙃👌

yoav
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the beauty of maths as always ! that was very interesting topic, love it

kemalkayraergin
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the beauty of maths as always ! that was very interesting topic, love it me too!

aashsyed
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These videos are trying to change my favorite topic in maths from e, π, Φ and i to Lucas polynomials. And they are almost succeeding. What should I do?

mathevengers
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Do you have a PhD in math? As suggested by "Dr." Weselcouch? And in what area?

skylardeslypere
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I thought {n} was the fractional part of n

dognip