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I am trying to create a graphic demonstrating the difference between an idealized perfect sphere and the Earth's reference ellipsoid. (I know this is also an approximation, but nevertheless.) To this end I want to also exaggerate the eccentricity of the ellipsoid.

https://en.wikipedia.org/wiki/Latitude

Anyway, should I simply scale a sphere vertically such that the vertical axis is shorter than the horizontal axis? If I have a map of the Earth wrapped around the sphere, is squashing the sphere vertically sufficient? Or do I need to convert between geocentric and geodetic latitude first?

What's the proper way to handle this situation?

closed as too broad by Hornbydd, Jochen Schwarze, xunilk, ThingumaBob, Andre Silva Jul 31 '18 at 16:22

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    See also quora.com/… – Kirk Kuykendall Jul 19 '18 at 3:13
  • If your purpose is simply to create visuals to demonstrate the shape of the Earth I wouldn't worry too much about all this; just scale you Earth and its texture vertically and the result should be good for your needs I believe. – FSimardGIS Jul 23 '18 at 4:02
  • Well, I am trying to demonstrate geodetic latitude. I have already created a texture for the graticule based on geodetic latitude. I now need to know what I should do with the texture lying underneath the graticule, of the continents, oceans, etc. I could simply squash it vertically, as I have described. Or I could UV map it using a method intended for spheres, but not ellipsoids. Or I could... do something else? – posfan12 Jul 23 '18 at 22:40
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    Possible duplicate of Oblate ellipsoids and latitude – posfan12 Jul 23 '18 at 22:44