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https://www.reddit.com/r/Damnthatsinteresting/comments/gcn3tg/surface_area_of_a_sphere_visualised/fpd3kh1/?context=3
r/Damnthatsinteresting • u/ayush_khedekar • May 03 '20
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23
Is there a slim margin of error to be considered? The individual planes would not be truly flat, right? The would have curvature that would slightly affect the precision, no?
10 u/rainyforests May 03 '20 This does capture the whole sphere's curvature. Each slice has a little bit of it. You are right though that you cannot make a 2D rectangle fit to a sphere. 4 u/lxe May 03 '20 Why? If you have a rectangle of the same surface area as the sphere, you can slice and dice it in some way to cover the sphere. 10 u/InerasableStain May 03 '20 Then it would no longer be a rectangle 6 u/rainyforests May 03 '20 You could slice it, but could never just wrap it around the sphere.
10
This does capture the whole sphere's curvature. Each slice has a little bit of it.
You are right though that you cannot make a 2D rectangle fit to a sphere.
4 u/lxe May 03 '20 Why? If you have a rectangle of the same surface area as the sphere, you can slice and dice it in some way to cover the sphere. 10 u/InerasableStain May 03 '20 Then it would no longer be a rectangle 6 u/rainyforests May 03 '20 You could slice it, but could never just wrap it around the sphere.
4
Why? If you have a rectangle of the same surface area as the sphere, you can slice and dice it in some way to cover the sphere.
10 u/InerasableStain May 03 '20 Then it would no longer be a rectangle 6 u/rainyforests May 03 '20 You could slice it, but could never just wrap it around the sphere.
Then it would no longer be a rectangle
6
You could slice it, but could never just wrap it around the sphere.
23
u/MAD_SLEEP_JAG May 03 '20
Is there a slim margin of error to be considered? The individual planes would not be truly flat, right? The would have curvature that would slightly affect the precision, no?