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Logarithmic Spiral
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From Equations to Art: The Logarithmic Spiral in 3D
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Visualizing the relationship between rotation and zoom in a logarithmic spiral. This is why they're scale invariant (look the same regardless of size), hence very visually interesting! r = e^(kθ), k ≠ 0 This formula means that for every rotation, the radius scales by some fixed amount. The value of k determines how “twisty” the spiral is; in a golden/Fibonacci spiral k ≈ 0.306, in this animation k ≈ 0.536. #math #spiral #goldenratio #fibonacci #trippy #loop
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