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Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Compute the catacaustic of a curve at infinity
ResourceFunction["InfiniteCatacausticCurve"][c,θ,t] gives an equation for the catacaustic at infinity of a curve c specified parametrically with respect to a direction angle θ in terms of the variable t. |
The catacaustic at infinity for a parabola, with rays perpendicular to the parabola's axis:
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Plot the parabola and the catacaustic (Tschirnhausen cubic) together:
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The catacaustic at infinity for a circle:
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Plot the circle and the catacaustic (nephroid) together:
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Parametric equations for a deltoid:
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Demonstrate the effect of changing θ in InfiniteCatacausticCurve:
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