These visualizations are cool, but I feel only a little misleading. Any 2D relation can be plotted in 3D, and setting z=0 shows the original line in 2D. The whole notion of fuzzy is really just saying "let's make a heat map of how far z is from 0". That said, I can see how for some people, thinking about the roots of a function in 3D this way _could_ help unlock deeper understanding of where your roots are at than just staring at 3D graph.

My gut tells me that exploring mathematics in this way has very high potential for bringing on future advancements. (1) Simple elements that (2) reveal coherent structures, and were (3) hidden to historic geniuses due to requiring exhaustive computation.

earlier discussion here: 89 comments, 11 months ago. https://news.ycombinator.com/item?id=45823141

Isn’t the “error in the equation x = 0” just…x?

Seems similar to fractals.

That has another name but I forget. Essentially contour plotting in high res.