theHeavyLobster

Are there two rotated curves that, when they intersect, form a point with the tangents on both curves being orthogonal at every rotational angle?



I wanted to build this thing and try to find the most simple and robust way to get the intersection point to move fluidly, that would occur when both tangencies are orthogonal.

I'm guessing that it's possible with archimedes-curves or golden-spirals. Do you know anything about this problem?