Math art
Every one of these is a picture of an equation, a dynamical system, or some physical process behaving the way it does. I find it hard to look away from the fact that arithmetic produces things this pretty without being asked to.
Seashell Surface
A logarithmic-spiral surface that mirrors how mollusks deposit shell material as they grow.
Harmonograph
The trace of a pendulum-driven drawing machine — decaying oscillations turned into curves.
String Art
Curves built entirely from straight lines strung between points around a boundary.
Klein Bottle
A non-orientable surface with no distinct inside or outside, immersed in three dimensions.
Pickover
Biomorph-like forms grown from iterated functions, in the tradition of Clifford Pickover.
Lorenz Attractor
Trajectories of a chaotic system that never repeat, tracing the iconic butterfly shape.
Chladni Plate
The standing-wave nodal pattern left by sound vibrating a plate at resonance.
Reaction–Diffusion
Turing-style patterns that emerge from two chemicals diffusing and reacting at different rates.
Clifford Attractor
A strange attractor built by iterating a pair of trigonometric maps millions of times.
Three-Body
Orbital paths from the classic gravitational three-body problem — chaotic and never periodic.
Dini Surface
A twisted pseudosphere of constant negative curvature, one of the classic surfaces of hyperbolic geometry.
Flow Field
Particle paths traced through a vector field, visualizing the shape of an invisible flow.