#pole constraint in 2d for fabrik algorithm

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whole rivet
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How can I implement a pole constraint on a 2D FABRIK IK limb? I've been trying to figure it out, but I couldn't find any good resources online (most of what I found was for Blender). I'm not using any specific engine, just looking for a general solution. Any tips or resources would be greatly appreciated!

whole rivet
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solved

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i will upload a github with the whole thing and explaining how it works soon for people who need it

whole rivet