Complex Function Plotter: Rectangular Grid Plot
Explore the effects of the transformation on a parametric function \(z(t)\) that you define.
Enter your function here:
\(f(z)= \)
→
\(r \in\) [0,
] \(r\) scale
Show Trace
Show Parametric Curve
\(x(t)= \)
\(+Re(c)\) →
\(y(t)= \)
\(+Im(c)\) →
\( t \in [0,1] \)
\(\leadsto\)
Your browser does not support the HTML5 canvas tag.
Your browser does not support the HTML5 canvas tag.
Useful parametric curves:
Line:
(1-t) x1 + x2 t
(1-t) y1 + y2 t
Circle:
cos(2 pi t)
sin(2 pi t)
Square:
cos(2 pi t) / (max( abs( cos(2 pi t) ), abs( sin(2 pi t) )))
sin(2 pi t) / (max( abs( cos(2 pi t) ), abs( sin(2 pi t) )))
Clover:
(sin(4 pi t)cos(2 pi t)
sin(4 pi t)sin(2 pi t)