Natural Forms & Patterns

The hidden order in plants, crystals, light and the heavens.

Listed in this category 8

Journal / Papers Revisited

Leonardo / ISAST

The International Society for the Arts, Sciences and Technology, publisher of Leonardo, the journal founded by Frank Malina in 1968. It is a long-standing home for research and criticism at the intersection of art and science.

  • Mathematics
  • Natural Forms & Patterns
  • Technology & Techniques

Subcategories — including subcategories

Institution

4D2U Project, National Astronomical Observatory of Japan

The site of the National Astronomical Observatory of Japan's project for turning astronomical research into images. It offers Mitaka, free software for travelling from Earth out to the large-scale structure of the universe, along with simulation-based films and VR works — reference material for visualising celestial motion and orbits.

  • Celestial Orbits
  • Data Visualization

Artist

Akio Hizume

The site of a Japanese artist known for the "Star Cage". It presents bamboo sculptures, benches, an origami turbine and other works based on Fibonacci numbers and quasicrystal geometry, along with papers and Fibonacci-based music. The site design is old-fashioned, but it is still being updated.

  • Plant Forms
  • Number Theory & Modular Arithmetic
  • Symmetry

Learning Resource

Musical Toys

A collection of musical toys to play in the browser. Musical Spirograph turns a spirograph into musical patterns; others include pendulum waves, Polyrhythm with its polygons, Cellular Sequencer built on the Game of Life, and Wave Drawer for drawing a waveform and hearing it — many let you see and hear a mathematical mechanism at work.

  • Orbits & Curves
  • Vibration & Waves
  • Interactive Technology

Artist Revisited

Bathsheba Grossman

An artist who turns mathematical forms into sculpture through metal 3D printing. Known for pieces based on minimal surfaces and polyhedra, as well as laser-etched glass crystals of molecules and proteins.

  • Geometry
  • Topology
  • Crystals & Symmetry

Studio / Collective Revisited

Nervous System

A studio that designs products and artworks with simulations inspired by natural processes. Founded in 2007 by Jessica Rosenkrantz and Jesse Louis-Rosenberg, it makes 3D-printed jewelry, jigsaw puzzles and more.

  • Generative Art
  • Growth & Pattern Formation
  • Algorithms

Learning Resource

Paul Bourke

A personal site with a vast collection of notes and examples on geometry, fractals, curves and surfaces, visualisation and dome projection. Equations sit alongside code, making it a long-standing reference for makers.

  • Geometry
  • Fractals
  • Orbits & Curves

Learning Resource

The Nature of Code

A book by Daniel Shiffman on simulating natural systems with code. It covers physics, particles, autonomous agents, cellular automata, fractals and genetic algorithms with p5.js, and is freely readable online.

  • Simulation
  • Growth & Pattern Formation
  • Fractals