### astroid

['æstrɔɪd]
• n. [数] 星形线
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"star-shaped," 1897, from Greek astroeides, from astron "star" (see astro-) + -oeides (see -oid).
1. Construct an animation showing the tangent sweeping out the interior of astroid.

2. Construct rotating cardioid and astroid while remaining orthogonal to each other.

3. Show how a deltoid of maximal size slides inside a stationary astroid.

4. Construct an animation of three concurrent tangents of the astroid.

5. Construct a linkage to draw the astroid.