Astroid Pedal Curve
AstroidPedal
The pedal curve of an astroid
x = acos^3t
(1)
y = asin^3t
(2)
with pedal point at the center is the quadrifolium
x_p = acostsin^2t
(3)
y_p = acos^2tsint.
(4)
See also
Astroid, Pedal Curve, QuadrifoliumExplore with Wolfram|Alpha
WolframAlpha
More things to try:
Cite this as:
Weisstein, Eric W. "Astroid Pedal Curve." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AstroidPedalCurve.html