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An epispiral with equation r(θ)=2sec(2θ)

The epispiral is a plane curve with polar equation


There are n sections if n is odd and 2n if n is even.

It is the polar or circle inversion of the rose curve.

See also[edit]


  • J. Dennis Lawrence (1972). A catalog of special plane curves. Dover Publications. p. 192. ISBN 0-486-60288-5.