Beautiful Visualizations 📊

This section focuses on explaining scientific and tech concepts through visualizations. Each guide has three main components:

1. Develops intuitive understanding of the concept.
2. Provides implementation in Python or Javascript.
3. Contains at least one animated visualization.

Enjoy the reading!

Convergence of T-distribution to Normal Distribution. Visualized!

3 minute read

How the t-distribution approaches the normal distribution as the degrees of freedom increase.

The Barnsley Fern: Ferns Seen as Fractals (not only as plants)

4 minute read

Ferns can also be fractals. Generate and plot the Barnsley Fern fractal in Python using Matplotlib

Sierpiński Triangle: Fractal Christmas Tree

3 minute read

Ho Ho Ho! Mery Christmas!

The holy grail of mathematics: animated visualization of the Riemann Zeta zeros

3 minute read

Not an ordinary function, animating the zeros of the Riemann Zeta function in Python using Matplotlib

Chaotic Beauty: Bifurcation Diagram Animation with Matplotlib

1 minute read

It is strange how seemingly simple things turn out to be so chaotic.

Julia Set: Animate your own in Python with Matplotlib

1 minute read

The mind-gobbling properties of the Julia Set through the prism of visualization

Visualized Koch Snowflake in Python with Matplotlib

1 minute read

How to mathematically construct a perfect snowflake?

This is why the Mandelbrot sets are amazing!

1 minute read

Implement and make a visualization of the Mandelbrot set. All in Python with Matplotlib

Calculation of the Circle’s Area Explained Visually

less than 1 minute read

How to numerically calculate the area of a circle in Python

Riemann Sums

less than 1 minute read

Animated Visualization of the Riemann Sums using Matplotlib

Reflection Principle of Brownian Motion

less than 1 minute read

Visualization of the Brownian Motion Reflection Principle with Matplotlib

The million possible paths of a single random process

less than 1 minute read

Monte Carlo simulation of a single Geometric Brownian Motion

Zero Mean, Infinite Variance

less than 1 minute read

The Geometric Brownian Motion can have zero mean and infinite variance

Pi Approximation

less than 1 minute read

Visualized approximation of Pi by randomly drawing points

Volatile Brownian Motion

less than 1 minute read

Animation of Brownian Motion with Volatility with Matplotlib

Biased Brownian Motion

less than 1 minute read

Animation of Brownian Motion only with Drift with Matplotlib

Brownian Motion Construction

less than 1 minute read

Convergence of the Simple Random Walk to a Brownian Motion with Matplotlib

Simple Random Walk

less than 1 minute read

Animated visualization of simple random walk with Matplotlib

Interactive Graph Visualization at its Finest

less than 1 minute read

JDK class dependency as an interactive graph using Cytoscape JS

Parallel Coordinates Laptops Visualization

less than 1 minute read

Laptop Visualizations using Parallel Coordinates plot generated with D3 JS