Cochleoid

A cochleoid is a snail-shaped curve similar to a strophoid which can be represented by the polar equation

cochleoid (solid) and its polar inverse (dashed)

the Cartesian equation

or the parametric equations

The cochleoid is the inverse curve of Hippias' quadratrix.[1]

Notes
  1. Heinrich Wieleitner: Spezielle Ebene Kurven. Göschen, Leipzig, 1908, pp. 256-259 (German)
gollark: To rethingy: I think that, regardless of whose body or creation or whatever it is, the person who is actually carrying it and bears the associated issues of having it glued to their circulatory system and such should get to decide whether to keep doing that.
gollark: A fetus contains some of your genes but ~all of its materials come from what the mother eats/processes, so that isn't relevant either.
gollark: I'll rephrase a bit or something.
gollark: You were saying that it was "half another person's body" earlier.
gollark: As much as applying copyright laws to babies might be fun, aaaaa.

References
  • J. Dennis Lawrence (1972). A catalog of special plane curves. Dover Publications. p. 192. ISBN 0-486-60288-5.
  • Cochleoid in the Encyclopedia of Mathematics
  • Liliana Luca, Iulian Popescu: A Special Spiral: The Cochleoid. Fiabilitate si Durabilitate - Fiability & Durability no 1(7)/ 2011, Editura "Academica Brâncuşi" , Târgu Jiu, ISSN 1844-640X
  • Roscoe Woods: The Cochlioid. The American Mathematical Monthly, Vol. 31, No. 5 (May, 1924), pp. 222–227 (JSTOR)
  • Howard Eves: A Graphometer. The Mathematics Teacher, Vol. 41, No. 7 (November 1948), pp. 311-313 (JSTOR)


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