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Jun 25 at 17:43 comment added David K @mr_e_man How do you get "different perspective" from "spin that ellipsoid around its minor axis"? The question is simply nonsensical, that's all. We can try to guess what OP had in mind when asking it, but only OP knows and they have not yet clarified their meaning sufficiently. OP says, "So if we have an ellipsoid. When we rotate that ellipsoid along the minor axis it's called an oblate." Perhaps if OP would actually quote verbatim from some source from which they got these words, we'd be able to explain what the words actually meant and how to assemble them into a meaningful statement.
Jun 25 at 16:12 answer added mr_e_man timeline score: 2
Jun 25 at 15:51 comment added mr_e_man @ancientmathematician - See previous comment
Jun 25 at 15:51 comment added mr_e_man @DavidK - As I understand the question, it asks whether a prolate spheroid can also be an oblate spheroid, when viewed from a different perspective. Though the answer is "no", it is a sensible question. The terms "spin" and "rotate" are referring either to an arbitrary coordinate axis, or to the ellipsoid's symmetry, not to its construction from an ellipse.
Jun 6 at 4:52 answer added Nate timeline score: 1
Jun 4 at 3:18 comment added David K All this talk of turning prolate ellipsoids into oblate ellipsoids makes the same kind of sense as turning a Toyota into a Volkswagen by building it in Germany instead of Japan. In reality, you simply don't change Toyotas into Volkswagens, even though they are both cars. There's a company that build Toyotas, and there's a company that builds Volkswagens.
Jun 4 at 3:12 comment added David K It's not the same ellipsoid. That's the fundamental issue of this discussion. A prolate ellipsoid is a prolate ellipsoid, an oblate ellipsoid is an oblate ellipsoid, and an ellipse is not an ellipsoid at all.
Jun 3 at 20:56 history edited Mathematition_From_Wallmart CC BY-SA 4.0
added 55 characters in body
Jun 3 at 20:50 comment added Mathematition_From_Wallmart Basically the same ellipsoid can fall under the oblete category and the prolate category depending upon the direction of rotation. If it rotates about the minor axis the ellipsoid is oblete and if it rotates about the major axis it's prolate. Correct?
Jun 3 at 20:48 comment added Mathematition_From_Wallmart So if we have an ellipsoid. When we rotate that ellipsoid along the minor axis it's called an oblate. But when we rotate the same ellipsoid along the major axis it falls under the prolate category.
Jun 3 at 16:53 comment added ancient mathematician Well prolate doesn't change into oblate: they're two distinct 3-d shapes we get by rotating the 2-d ellipse about different axes.
Jun 3 at 14:33 comment added Mathematition_From_Wallmart @ancientmathematician Thanks man I will be better next time. I think my confusion is almost done, just verify that it is possible for a prolate to turn into an oblate IF we change e the axis along which the ELLIPSE is rotating. Appreciate it man
Jun 3 at 13:58 comment added ancient mathematician en.wikipedia.org/wiki/Spheroid
Jun 3 at 13:56 comment added ancient mathematician You really must read Wiki more carefully and quote it accurately. It says that if one rotates an ELLIPSE about its major/minor axis then one gets a prolate/oblate spheroid.
Jun 3 at 13:50 history edited Viktor Vaughn
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Jun 3 at 13:22 comment added David K I looked at the Wikipedia article on ellipsoids and the only time the word "spin" occurs in any form is under the heading "dynamical properties." Why did you write "spin" in the question? Even the word "rotation" needs to be carefully used. "Axis of rotation" is a completely different thing from "axis of rotational symmetry".
Jun 3 at 13:12 comment added Mathematition_From_Wallmart @DavidK I ment, I read on wiki that ellipsoid can be 1. Polate 2. Oblate. But I wasn't sure what difference is there apart from axis of rotation
Jun 3 at 13:11 comment added Mathematition_From_Wallmart @DavidK from what I've heard from Wikipedia if we spin an ellipsoid along minor axis it's oblate. And if we spin the ellipsoid along major axis it's oblate. But I wanted to clarify does this mean we can just change the type of ellipsoid (prolate to oblate) just by changing the axis from major toinor axis, the axis of rotation that is
Jun 3 at 13:02 comment added David K If you consider objects that won't be deformed by rotation, you can spin an ellipsoid about any of its principal axes. The result is you get the same ellipsoid spinning about an axis, not a new shape.
Jun 3 at 13:00 comment added David K The Earth, which is not truly a rigid object, has acquired an oblate shape due to its spin. That is, the minor axis of the Earth exists because of its rotation. But the ostrich egg is (approximately?) a prolate ellipsoid when it is not spinning. Why do you say "if we spin it" it is classified as prolate?
S Jun 3 at 12:02 review First questions
Jun 3 at 12:03
S Jun 3 at 12:02 history asked Mathematition_From_Wallmart CC BY-SA 4.0