Logarithmic spiral | Spira Mirabilis

This is a visualization of a self-similar curve known as a logarithmic spiral or spira mirabilis. To learn more about logarithmic spirals, check out the wikipedia site or mathworld:
en.wikipedia.o...
mathworld.wolf...
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#construction #calculus #mtbos​ #manim​ #animation​ #theorem​ ​​ #iteachmath #spiral #logarithm #logarithmicspiral #polarequation #polarcurve #function
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[@clemdelaclem]

I still think it should be called an exponential spiral

[@pyrite2060]

Beautiful

[@mofazzalhossain2944]

❤ Amazing

[@ezxd5192]

isn't this like calling y = e^x a logarithmic function because x changes logarithmically as y changes?

[@naming_is_harddd]

yes but usually x is the independent variable and y is pretty much always a function in terms of x but here there's not really a focus on which one (r or θ) is more important

[@LieuweStraatman]

🥶🥶🥶🥶

[@animeaddicted7553]

Which angle?

[@sukursukur3617]

Where is complex number which rotates graph

[@gigaprofisi]

This is a polar graph not a complex graph

[@cq.cumber_offishial]

anti spiral