In this example exported from G.Projector, the lines of latitude are perfectly straight/parallel to the equator. Obviously if I were to print this out and paste it onto a sphere, a line of latitude would be segmented, and not appear to be one seamless ring, as in professional globes.

As you can see here, they've printed the gores with the lines of latitude already with some curvature.

I'm wondering how that is determined, exactly. It would of course have something to do with the size of the sphere it's getting wrapped onto. At the 4:47 mark in this video, the Youtuber can be seen manually warping the map into gores and adding that curvature, but it's a time-lapse and I'm not sure if he did the math beforehand or just eyeballed it really well. I have Photoshop and I'm familiar with the warp tool. I know how he warped it, I just don't know how he decided how much to warp it by.

P.S. Also hello! First post!