1 January

How the golden angle fills a circle (by Charlie Loyd)

This helped me visualize how, by moving around a circle in strides of the golden angle, you partition it as smoothly as possible – for a fixed stride – as time increases indefinitely.

I think it’s equivalent to say that the golden angle is the only fixed stride such that every new division turns the largest gap into the smallest gap (and another gap). That’s just intuition; I haven’t proven it.

Here is a proof.

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