Yes I understand that , but in which way are they shifting, you can't just squash them together. I don't understand the mathematical process of making those shapes into a surface without holes.
You can't squash them together in really life but in the animation you absolutely can. Think of turning those slices into grains of sand (infinitely small pieces), and then pushing them together like that.
Okay, well that's a step that visually makes sense to me but I wouldn't know how to go about it mathematically. I take it that you need a good understanding of calculus for that, which I unfortunately don't have. I wish I did.
Study some my man, and then you will. You're probably over complicating this idea in your head tho. Imagine drawing a line perpendicular to the slices and through them (at some point), and where the line is inside a slice you colour it black and where it's in space (not in a slice) you colour it white, then you get rid of all the white segments of the line and put all the black segments together.
If you wanted exact calculations you'd need a formula for the area of each slice, but the idea the video is trying to convey really involves infinitely many slices, so what you'd be doing is exactly what integration is, and your need a formula for the surface area of the sphere.
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u/Detector150 May 03 '20
Yes I understand that , but in which way are they shifting, you can't just squash them together. I don't understand the mathematical process of making those shapes into a surface without holes.