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A plot of Weierstrass's monster with a=1/3 and b=21, over the range -0.02 < x < 0.02. Now, having zoomed in by a factor of 100 from the original plot, a horrible truth becomes apparent. There are always more teeth. The further you zoom the more you find, the hungrier they seem.

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A plot of Weierstrass's monster with a=1/3 and b=21, over the range -0.02 < x < 0.02. Now, having zoomed in by a factor of 100 from the original plot, a horrible truth becomes apparent. There are always more teeth. The further you zoom the more you find, the hungrier they seem.
https://files.mastodon.social/media_attachments/files/111/329/883/073/758/772/original/f0e4d14ffa3fde17.jpeg

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Robert McNees (mcnees@mastodon.social)'s status on Tuesday, 31-Oct-2023 13:33:29 UTC Robert McNees
in reply to

Here are three plots showing the first 1000 terms in the sum (over [-2,2], [-0.2,0.2], and [-0.02,0.02] ) using the values a=1/3 and b=21 from Weierstrass's original proof.
[a wolf howls in the distance]
As you study the plots, a hideous truth reveals itself.

In conversation about a year ago from mastodon.social permalink