if you were a machine, how would you interpret the world?art created with big data.

I began experimenting with machine-generated sketches a bit after undergrad here. In these experiments, I also reimagined the fluid mechanics experiments from MIT's NCFMF archive.

Möbius IFS

Three Möbius maps played as a chaos game, their fractal limit set wrapped over the Riemann sphere.

Complex Function Portraits

Domain-colouring phase portraits of any f(z) you type, with an adaptive contour mesh in the style of Ricky Reusser's complex function plotter.

Xmorphia — the Gray-Scott Parameter Map

One reaction-diffusion system whose feed and kill rates alone decide between spots, stripes, mazes and cells that split like bacteria.

Atomic Collapse in Graphene

Overload a charge on graphene and its electrons spiral inward instead of orbiting, a resonance diving below the Dirac point — the collapse predicted for superheavy nuclei.

Multi-Scale Turing Patterns

Turing's spot-making rule run at many sizes at once, each pixel following whichever scale makes its neighbourhood look calmest.

Fermi–Pasta–Ulam–Tsingou Recurrence

A weakly nonlinear string that refuses to thermalise, sloshing energy between low modes and back to the pluck.

Foucault Pendulum

A pendulum's swing plane precesses at exactly Ω sin(latitude), tracing a slow rosette that proves the Earth turns.

see (a lot) more

Below are some hand-crafted sketches I made loosely in my undergrad years that I just thought were cool.

Riemann Surfaces

Plotting complex functions using riemann surfaces and coloring

Image Segmentation

Using k-means to compress an image down

Domain Coloring

Plotting complex functions using domain-coloring

Mandelbrot Set / Logistic Map

Plotting mandelbrot and logistic relationship.

k-means Algorithm

Visually iterating k-means algorithm.

Van der Pol Oscillator

The beautiful world of nonlinear systems

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.

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.

Klein Bottle

A riemannian surface of a two-dimensional manifold.

Random Distributions in Three Axes

Probability distributions of points across axis.

Mobius Strip

An interactive model of this basic manifold.

3D Prints Jobs

Displaying 3d printing jobs

3D Graphs