| ▲ | calebm 12 hours ago | |
Thanks for the feedback (you and all the others - both positive and negative). HN is such a great way to present ideas to smart people. I may have been a little hyperbolic in the opening sentence, and may try to tighten up that language. It's true that I've encountered things like visualizing error gradients (in the ML space) in a non-binary way. And yes, mapping 3D to color (and 3D graphing) is nothing novel. But, I think that the idea of visualizing equations using the question "How different are both sides?" instead of "Are both sides EXACTLY equal - Yes or No?" is a new way to think about it - I don't know of any other graphing app/calculator (besides https://fuzzygraph.com) that does it. I think some would say that the "Fuzzy graph" of an equation is not a true graph of that equation because a "visualization transform" is being applied, and that only the conventional/binary graph is a valid graph of the equation. But even conventional graphing apps must apply a "visualization transformation" to the equation - something like: 'black' if Boolean(left(x, y)==right(x, y)) else 'white. | ||
| ▲ | nyeah 12 hours ago | parent [-] | |
Yeah, the opening sentence is very easy to disprove. That's going to spark distrust among people who are "more mathy." Otherwise ... the plot is obviously engaging, based on the discussion here. For people who haven't seen it before, it's a new way to think about it. It may well be a new "plot type" to most people relying on standard plotting software to visualize equations. Maybe consider saying it's grounded in "more advanced" math than what others have brought to plotting software. That's still impressive, but it can be made pretty much true. You can cite cool math references about "implicit function theorem" or whatever. Stuff that your target audience really weren't going to just find on their own. | ||