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the deltoid |
nephroid |
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cardioid |
astroid |
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Deltoid, Nephroid, Cardioid and Astroid
Construct an animation showing the formation of
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| Show how each of the four curves may be generated in two ways. | |
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| Construct each of the four curves as the envelope of its tangent. | |
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| Construct the osculating circle of each of the four curves. | |
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| Construct circles enveloping both the deltoid and the
3-cusped epicycloid.
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Construct circles enveloping both the astroid and the
4-cusped epicycloid.
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| Construct this pattern:
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