Advanced Complex Function Visualization

Signal Configuration

Waveform Type

Frequency: 1.0 Hz

Amplitude: 1.0

Sampling Parameters

Time Window: 4.0 s

Samples: 128

Winding Analysis

Watch the golden center of mass jump when winding frequency matches signal frequency!

Winding Freq: 1.0 Hz

0.1 10

Progress: 100%

Signal Configuration

Waveform Type

Frequency: 2.0 Hz

Damping σ: 0.5

s-Plane Exploration

σ (Real): 0.0

ω (Imaginary): 1.0

3D Visualization

Display Mode

Clip Height: 10

Integral Animation

Speed: 3.0s

Real part of z (a₀): 0.80

Imaginary part of z (b₀): 0.50

Möbius Parameters (w = (az+b)/(cz+d)):

Re(a): 1.0

Im(a): 0.0

Re(b): 0.0

Im(b): 0.0

Re(c): 0.0

Im(c): 0.0

Re(d): 1.0

Im(d): 0.0

z-plane (Input: `z = a + ib`)

Shape: