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, BitangentExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Plücker's Quartic." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PlueckersQuartic.html