sketches

Riemann Surfaces

Plotting complex functions using riemann surfaces and coloring

k-means Algorithm

Visually iterating k-means algorithm.

Domain Coloring

Plotting complex functions using domain-coloring

Mandelbrot Set / Logistic Map

Plotting mandelbrot and logistic relationship.

Van der Pol Oscillator

The beautiful world of nonlinear systems

You are an astronaut on the ISS

Pseudorealistc Moon Generation

(GPU Intensive) Generating a pseudo-realistic moon with ray-tracing

Pseudorealistic Earth Generation

(GPU Intensive) Generating an pseudo-realistic earth with ray-tracing

Alcubierre Warp Drives

How can we achieve interstellar travel?

Flamm's Paraboloid

The geometry behind blackholes.

Terrain Generation

How do you mathematically generate a landscape?

Convolutions in Image Processing

Live image processing with different kernels

Optimization Functions

Surfaces like the Ackley or Bukin functions used as benchmark for optimization problems

DBSCAN Algorithm

Density-based, noise redundant clustering algorithm.

Joukowsky Airplane Wing Foil

The transformation that gives the airplane wing shape.

Visualizing Earth's Population

Plotting human population on a sphere

Cloud Generation

Cloud generation using fractal brownian motion

Brownian Motion in Stocks

Modeling the stock market with statistical physics.

A riemannian surface of a two-dimensional manifold.

Random Distributions in Three Axes

Probability distributions of points across axis.

An interactive model of this basic manifold.

Displaying 3d printing jobs