Every conic is a slice of the same cone.

Oct 19, 2026 · 10:57 AM UTC

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Replying to @TheMathFlow
@TheMathFlow ah I have a 3D interactive version of this at 0:09
and will publish it soon :)
x.com/RyanSael/statu…
Math is beautiful. Let's make it interactive and playable too!
you have no idea what's coming

enough flying cars and rockets for now.
back to making fun 3D explainers!
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Replying to @TheMathFlow
@TheMathFlow One cone, one knob: the tilt.
e = 0 circle, e < 1 ellipse, e = 1 parabola, e > 1 hyperbola.
Planets ride the ellipse. A comet that never returns rides the hyperbola. Same slice, different fate.
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Replying to @TheMathFlow
@TheMathFlow Ok now do 3d conic sections; 4d cone(s)
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Replying to @TheMathFlow
@TheMathFlow This is a much more useful thing to know than one would think at first glance.
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