Select Function:
w = cos(z)
w = sin(z)
w = tan(z)
w = sec(z)
w = e
z
w = ln(z)
w = 1/z
Möbius
w = ζ(z)
Polynomial
Enable Analytic Continuation
Real part of z (
a
0
):
0.80
Play
0.1x
0.5x
1x
2x
Imaginary part of z (
b
0
):
0.50
Play
0.1x
0.5x
1x
2x
Radius (R):
1.0
Play
0.1x
0.5x
1x
2x
Semi-axis A:
1.5
Play
0.1x
0.5x
1x
2x
Semi-axis B:
0.7
Play
0.1x
0.5x
1x
2x
Param A:
1.0
Play
0.1x
0.5x
1x
2x
Param B:
0.5
Play
0.1x
0.5x
1x
2x
Möbius Parameters (w = (az+b)/(cz+d)):
a:
1
Play
0.1x
0.5x
1x
2x
b:
0
Play
0.1x
0.5x
1x
2x
c:
0
Play
0.1x
0.5x
1x
2x
d:
1
Play
0.1x
0.5x
1x
2x
Polynomial: w = a
0
z
n
+ a
1
z
n-1
+ ... + a
n
Degree (n):
2
Visualization Options
Toggle Riemann Sphere View
Grid Density (for Grid Shape):
15
Probe Neighborhood Size (r
local
):
0.2
Z-Plane Zoom:
1.00
x
W-Plane Zoom:
1.00
x
Enable Domain Coloring (Max Detail)
Show Zeros/Poles (Approx., Planar View Only)
z-plane (Input:
z = a + ib
)
Shape:
Grid (Cartesian)
Lines (Re/Im Fixed)
Circle
Ellipse
Hyperbola
w-plane (Output:
w = cos(z)
)