3 ms·
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 who
by simojo 13d ago
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.
- rcxdude 13d agoAlso, the visualisations are to some extent an artifact of how you arrange the equation: rearranging terms between the left and right side won't change the line but it will change these visualisations. The first example illustrates it nicely: the 'hole' only exists because of a redundant division by (x^2 + y^2) on either side of the equation.
- Jaxan 13d agoI agree. But it’s cool to explore these things and if it’s the first time someone sees it, that’s nice!