Further Interesting Properties of Cycloids

Construct two rotating cardioids meeting orthogonally.

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Case 1:

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Case 2:

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Construct a cardioid and a nephroid meeting orthogonally while each rotating with respect to its "center".

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Construct this gear-tooth coupling among a deltoid, an astroid. a cardioid and a nephroid.

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Given two cardioids sharing the same cusp P, construct the circle passing through P and tangent to both cardioids.

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Construct this animation displaying a pair of orthogonal cardioids sharing the same cusp.