A plot of Weierstrass's monster with a=1/3 and b=21, over the range -0.2 < x < 0.2. It looks similar to the last plot. You've zoomed in by a factor of 10, but there are, if anything, even more sharp points visible at this level. They almost look... like teeth?
https://files.mastodon.social/media_attachments/files/111/329/882/969/617/497/original/751ae1b8ce0c89cf.jpeg