UNNS Echo Calculator

Real Rotation Echoes Without Complex Numbers

Quadratic Solutions • Oscillator Dynamics • Fourier Phasors

Quadratic Solver
Oscillator
Fourier Phasor

Inputs

— or enter coefficients directly —
ax² + bx + c = 0
Axes
Center
Echo Orbit
Echo Vector

Results

Select a mode and solve.

      

    


    

      
Visualization

      

        
        

          Visualizing real 2D rotation echoes as an alternative to complex numbers.