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Opening this starts with 3 countries showing (US, China, and India), overlayed on top of Africa. However, the country shapes are wrong. They're the shapes of their respective countries, but they've been relocated without any mercator distortion. Which means if I try and drag it back onto the country it belongs to, it doesn't fit anymore, as that distorts it (well, India has very little distortion so that one works, but China and the US don't).

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I think the issue you're encountering is purely due to those two countries starting with a rotation, and not any incorrect handling of distortion. You can adjust the rotation of a country by clicking it and then dragging the compass rose, which will allow you to perfectly overlay them back on their starting positions.

Oh! That was very much non-obvious, as there was no textual description of that like there was for dragging countries around and deleting them. I see if I actually watch the video it shows the compass rose at the very end, but I normally skip video content.

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