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Plücker's Quartic


PlueckersQuartic

Plücker's quartic is a name that may given to the quartic curve

 (x+y)(y-x)(x-1)(x-3/2)-2(y^2+x(x-2))^2-k=0

(correcting the typo of (y+xy) for (x+y)) with k small and positive constructed by Plücker (Plücker 1839, Gray 1982) as the first known example of a quartic curve with 28 real bitangents. Without mentioning its origin or significance, this curve with k=0 is termed the ampersand curve by Cundy and Rowlett (1989, p. 72).


See also

Ampersand Curve, Bitangent

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Cite this as:

Weisstein, Eric W. "Plücker's Quartic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PlueckersQuartic.html

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