Butterfly curve (transcendental)
Encyclopedia
The butterfly curve is a transcendental
plane curve
discovered by Temple H. Fay. The curve is given by the following parametric equation
s:
or by the following polar equation:
Transcendental function
A transcendental function is a function that does not satisfy a polynomial equation whose coefficients are themselves polynomials, in contrast to an algebraic function, which does satisfy such an equation...
plane curve
Plane curve
In mathematics, a plane curve is a curve in a Euclidean plane . The most frequently studied cases are smooth plane curves , and algebraic plane curves....
discovered by Temple H. Fay. The curve is given by the following parametric equation
Parametric equation
In mathematics, parametric equation is a method of defining a relation using parameters. A simple kinematic example is when one uses a time parameter to determine the position, velocity, and other information about a body in motion....
s:
or by the following polar equation: