The catacaustic of a cardioid for a radiant point along the -axis is complicated function of .

For
(i.e., with radiant point at the cusp),
however, the catacaustic for the cardioid
given parametrically as

reduces to the nephroid

illustrated above.

## See also

Cardioid,

Catacaustic
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## References

Lawrence, J. D. *A Catalog of Special Plane Curves.* New York: Dover, p. 207, 1972.## Referenced
on Wolfram|Alpha

Cardioid Catacaustic
## Cite this as:

Weisstein, Eric W. "Cardioid Catacaustic."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/CardioidCatacaustic.html

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