The bifoliate is the quartic curve given by the
Cartesian equation
(1)
and the polar equation
(2)
for .
It has a cusp at the origin .
The area of the bifoliate is given by
(OEIS A093954 ).
Its perimeter is
(7)
(OEIS A118289 ). Taking as the parameter, the bifoliate has curvature
and tangential angle given by
See also Bifolium ,
Folium ,
Kepler's Folium ,
Quadrifolium ,
Rose Curve ,
Trifolium
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References Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., p. 72, 1989. Sloane,
N. J. A. Sequences A093954 and A118289 in "The On-Line Encyclopedia of Integer
Sequences." Referenced on Wolfram|Alpha Bifoliate
Cite this as:
Weisstein, Eric W. "Bifoliate." From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/Bifoliate.html
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