Conic sections visualization

Some time ago I was trying to create a conic section editor, but ran into some math issues.

Recently I saw this video by 3Blue1Brown, which had this visualization:

How can I solve for the of the plane given the conic section and cone (see this)?

I’m trying to create a visualization for a conic section in 3D that matches what is seen with desmos (e.g. this).

This PG already has the code for intersecting the plane and cone (but does not accurately reflect the equation of the conic section)

To increase the number of segments, you can specify the tessellation property when creating the mesh.

Cylinder Plane Intersection | Babylon.js Playground (babylonjs.com)

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