I currently use desmos.com for graphs, and came across a graph which is Parametric '3D'. Desmos itself uses a 2D graph, with no Z axis to work with. There seems to be some complicated equations everywhere, and I just want a pointer on how it works and what functions they used and why. You can access the graph and see all of it's equations at https://www.desmos.com/calculator/zcf2lhklhm, and you can move certain points on the graph to affect the perspective. Thanks for any pointers! (Also, any basic equations with explanation would be GREAT!)
How is parametric 3D graphing done on a 2D graph/area?
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1 Answers
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From what I can tell, it seems like it does have an ostensible z-axis. It gives three axes when you move it (black, red, blue).
The way that is would generally work would involve ideas of othrnographic projections. These are concepts covered in a linear algebra course, and they're pretty interesting. You can read more about that specifically at https://en.wikipedia.org/wiki/Orthographic_projection
I'm not sure how much of a math background you have, but that's the gist of it!