Say you have a joint chain, we'll say shoulder - elbow - wrist. The difference between IK and FK is where on the chain you start when you want to move joints. With FK, you start at the top of the chain and step down it, ie rotate the shoulder, then the elbow, then the wrist. Since that's the natural order of the joints, no special tools are needed for FK. IK is the opposite. You move the bottom of the chain and it influences every joint above it, ie drag the wrist around and the elbow and the shoulder rotate accordingly. . .
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