The catacaustic of a logarithmic spiral, where the origin is taken as the radiant
point, is another logarithmic spiral. For
an original spiral with parametric equations

the catacaustic with radiant point at the origin
is

## See also

Catacaustic,

Logarithmic
Spiral
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## References

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

Logarithmic Spiral Catacaustic
## Cite this as:

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

## Subject classifications