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Where fields meet
MathematicsNatural Forms & PatternsTechnology & TechniquesShowing & Selling
Mathematics 27 7 14 0
Natural Forms & Patterns 7 8 6 0
Technology & Techniques 14 6 31 0
Showing & Selling 0 0 0 0

Mathematics × Natural Forms & Patterns 7

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

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

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

Mathematics × Technology & Techniques 14

Channel / Account

3Blue1Brown

A mathematics channel that explains linear algebra, calculus, number theory, neural networks and more through animation. Its way of building understanding through moving diagrams is a model for turning mathematics into film.

  • Mathematics
  • Data Visualization

Learning Resource

aldus nexus

A personal site collecting algorithm experiments and visual toys. Fractals, reaction–diffusion, chaos, the n-body problem, boids, the travelling salesman problem, Voronoi diagrams and more can be set in motion and explored in the browser.

  • Algorithms
  • Simulation
  • Fractals

Article

Distance Functions (Inigo Quilez)

An article listing signed distance functions for primitives such as spheres, boxes and tori, along with operations like union, subtraction, intersection and smooth blending — all with GLSL code. A reference dictionary for building solids from equations.

  • Shaders & Real-time Rendering
  • Geometry

Artist

Lactamme (Jean-François Colonna)

A huge archive of mathematical and physical simulation images by a researcher at École polytechnique in France, with more than ten thousand pictures and animations grouped by theme — real numbers, fractals, quantum physics, astronomy and more. The site is old-fashioned and easy to get lost in, but it is still being updated.

  • Fractals
  • Dynamical Systems & Chaos
  • Simulation

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

Ryoji Ikeda

The official site of a Japanese composer and artist who works with sound and data. It organises his large-scale audiovisual installations such as datamatics and supersymmetry, his concerts and his recordings by series. A leading example of making numbers and data themselves into the work.

  • Mathematics
  • Data Visualization

Channel / Account

The Coding Train

A creative-coding channel built around p5.js and similar tools. Its "Coding Challenges" build small pieces on fractals, prime spirals, physics simulations and other mathematical and natural phenomena from scratch, on camera. By the same author as The Nature of Code.

  • Generative Art
  • Algorithms
  • Simulation

Learning Resource Revisited

Inigo Quilez

Articles on computer graphics, mathematics, shaders and fractals. Its explanations of signed distance functions and raymarching are standard references for anyone drawing shapes with equations.

  • Geometry
  • Fractals
  • Shaders & Real-time Rendering

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

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

Tool / Software Revisited

Processing

A flexible software sketchbook and language for learning to code within the visual arts. Started in 2001 by Casey Reas and Ben Fry and now stewarded by the Processing Foundation, it remains a classic entry point to generative art.

  • Generative Art
  • Algorithms
  • Interactive Technology

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

Artist

Tyler Hobbs

A generative artist who uses algorithms to create painterly work. Besides the work itself, the site publishes essays explaining techniques such as flow fields.

  • Generative Art
  • Algorithms

Mathematics × Showing & Selling 0

Nothing listed yet.

Natural Forms & Patterns × Technology & Techniques 6

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

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

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

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

Natural Forms & Patterns × Showing & Selling 0

Nothing listed yet.

Technology & Techniques × Showing & Selling 0

Nothing listed yet.