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Apéryodical: Scratch and sniff ζ plot

zeta-plot

Christian’s put together this fun applet for exploring the Zeta function – you can move your pointer around to reveal the value of $\zeta$ at each point in the complex plane.

The hue (colour) revealed is the argument of the value, and the lightness (bright to dark) represents the magnitude. There’s a blog post over at Gandhi Viswanathan’s Blog explaining how it works.

The resulting plot has contour lines showing how the function behaves.

Explore!

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