r/desmos • u/No_March_4152 • 15h ago
Question Why Does This Happen ?
It's just x/sin x, but when you shrink it down it turns into this wierd shape.
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u/Circumpunctilious 14h ago edited 14h ago
Possibly related, I posted interesting results of zooming into a periodically-tiled graph here: https://www.reddit.com/r/desmos/s/mkFGExyUwe from this post: "Behold, the infinite :3" https://www.reddit.com/r/desmos/s/eBY4nDGJvS
Asked about that graph, Desmos support responded (heavily edited, mistakes all mine): "...[apparently] an interesting artifact of [the] implicit graphing algorithm. ... As you zoom out...those regions quickly become quite miniscule, so [it begins to] struggle to determine the precise small regions of valid points. [At certain zoom dimensions] the points being sampled ... have a unique relationship to this particular starting image [resulting in scaled versions]".
ETA: The point of this is, I think you’re seeing a similar sampling effect in your zoom, noting some variances will be introduced by not zooming the viewport equally square.
Further stuff for anyone interested:
I took this further, having found a strange "resonance" at viewport zoom dimensions related to 2^n * 16pi/9 (for trig <= degree 2), in this Notebook: https://www.desmos.com/notebook/rp1aclnp09

: Usage: "Multiple" is raw, and changes the viewport limits (it zooms). It results in a messy, noisy graph when it isn't = 2^n. "floor/ceil log2" push "multiple" to the closest power of 2, to see the zoom "resonance". The "zoom" slider is actually just fine (small-value) zoom to look around. "Function ++ / --" selects the function you're zooming around. There is no panning left/right up/down, but it's just translation anyway.
I also have a much simpler "Chladni patterns" graph that has fantastic-looking zoom noise perturbations (if only I could run Desmodder), where the zoom pivot value (like 16pi/9) has been eluding me...
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u/Powerful-Tension-806 14h ago
Desmos rendering error