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Virtual Math Lab

Math

Complex function visualization

  1. Visualizing complex-valued functions with Matplotlib and Mayavi. Domain coloring method

  2. Plotly interactive visualization of complex valued functions. Domain coloring method

  3. Analytic Landscape - via Plotly: https://nbviewer.jupyter.org/github/empet/Math/blob/master/Analytic-landscape.ipynb

  4. Visual study of the winding number of a closed path in the complex plane. The argument principle

  5. Plotly plot of the Riemann surface Real(sqrt(z))

  6. Plotly plot of the Riemann surface Real(sqrt4(z))

  7. Streamlines of the flow past a Joukowski airfoil

  8. Animating the streamlines of the flow past a rotating Joukowski aifoil

  9. Moebius transformation applied to a discrete image

  10. Visualization of the Riemann zeta function

11 Klein's j-function illustrated with different domain coloring methods

12 Escape Time Algorithm for plotting Julia set

13 Rogers-Ramanujan continued fraction as a part of the project Matplotlib Plots for Wikipedia

14 Iterated complex factorial. Gamma function fractals

15 Animation of 8 points on a circle moving inside a greater circle

16 Hypocycloid generation and animation

  1. Animating-the-Dragon-curve-construction

  2. Arnold cat map

  3. 4D rotations and Mobius 3D Transformations

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Virtual Math Lab

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