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3D Polar coordinates have terrible seams


theE

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Hi, I'm trying to map a seamless texture onto a sphere. To do this I seperate the texture in half and apply polar coordinates to each half, then combine them back together. Only problem is, in the middle, the things don't line up right. At first I thought I was doing something wrong but after the tenth try I decided to look it up online. It seems that's an artifact of using polar coordinates but I couldn't find any workarounds for it using a search engine like google.
 

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