Mandelbrot Set Fractal Visualization in Python, R, Julia and JavaScript

Source code in 15 libraries — Python: Altair, Bokeh, lets-plot, Matplotlib, Plotly, plotnine, Pygal, Seaborn; R: ggplot2; Julia: Makie.jl; JavaScript: Chart.js, D3.js, Apache ECharts, Highcharts, MUI X Charts.

A visualization of the Mandelbrot set, the most iconic fractal in mathematics. Each pixel represents a complex number c on the complex plane, colored by how quickly the iteration z(n+1) = z(n)^2 + c diverges. The boundary between convergent and divergent regions reveals infinitely complex, self-similar structure including the characteristic cardioid and period-2 bulb.

Renders

• Full-resolution render, light theme
• Full-resolution render, dark theme
• Interactive version, light theme
• Interactive version, dark theme

Preview render from the D3.js implementation.

Implementations

• Mandelbrot Set Fractal Visualization in Altair (Python)
• Mandelbrot Set Fractal Visualization in Bokeh (Python)
• Mandelbrot Set Fractal Visualization in lets-plot (Python)
• Mandelbrot Set Fractal Visualization in Matplotlib (Python)
• Mandelbrot Set Fractal Visualization in Plotly (Python)
• Mandelbrot Set Fractal Visualization in plotnine (Python)
• Mandelbrot Set Fractal Visualization in Pygal (Python)
• Mandelbrot Set Fractal Visualization in Seaborn (Python)
• Mandelbrot Set Fractal Visualization in ggplot2 (R)
• Mandelbrot Set Fractal Visualization in Makie.jl (Julia)
• Mandelbrot Set Fractal Visualization in Chart.js (JavaScript)
• Mandelbrot Set Fractal Visualization in D3.js (JavaScript)
• Mandelbrot Set Fractal Visualization in Apache ECharts (JavaScript)
• Mandelbrot Set Fractal Visualization in Highcharts (JavaScript)
• Mandelbrot Set Fractal Visualization in MUI X Charts (JavaScript)