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MULTICARDIOID
Curve proposed in a special case by Brocard in 1894,
called
"Brocard trefoil" by G. de Longchamps.
Homemade name. |
Polar equation: obtained by replacing x by |
The multicardioids are the images of the cardioid
by the Brocard transformation.
Some examples with :
n = 2 | n = 3 | n = 5 | n = 3/2 | |
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![]() (Brocard trefoil) |
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The original article by Brocard, Nouvelles annales 1894, page 58
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© Robert FERRÉOL
2017