sketches
machine, math art
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.
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.
Bunimovich Stadium Billiard
A bundle of bouncing paths stays together in a circle forever but is flung apart by every curved-cap bounce in a stretched stadium.
Wilberforce Pendulum
A spring-borne mass trades bouncing for twisting and back again forever, two coupled normal modes beating like out-of-tune piano strings.
Aharonov–Bohm Effect
Double-slit fringes slide sideways when a hidden coil's flux changes, even though no electron ever touches its magnetic field.
Relativistic Starbow
Flying near light speed sweeps every star toward a blazing blue patch ahead while the sky behind fades to ember red.
Anderson Localization
A quantum wave spreads forever on a clean chain of sites but freezes in place the instant the site energies are scattered at random.
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