Geometry

Polyhedra, tilings, surfaces — mathematics about shape itself.

Listed in this category 10

Learning Resource

Dimensions

The site of a mathematical film in nine chapters, about two hours of computer animation that leads from two dimensions to four, and on to complex numbers and fibrations. It can be watched online in many languages, including Japanese, and has a follow-up film, Chaos. A model for putting higher dimensions and complex numbers on screen.

  • Topology
  • Geometry
  • Complex Functions

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

Henry Segerman

The hub page of a mathematician working in geometry and topology. It links to 3D-printed sculptures that cast shadows of four-dimensional objects, hyperbolic-space VR, material for the book Visualizing Mathematics with 3D Printing, mathematical dice and more.

  • Topology
  • Geometry

Artist

Kokichi Sugihara

The personal page of a mathematical engineer known for "impossible objects" and ambiguous objects that change shape in a mirror, such as the "ambiguous garage roof". An entry point into designing illusions from mathematics.

  • Geometry
  • Algorithms

Channel / Account

Mathologer

A channel in which a mathematician presents famous problems and theorems in number theory and geometry, with a focus on visual proofs. Its many ways of showing properties of numbers as shapes are a good source of ideas for number-themed work.

  • Number Theory & Modular Arithmetic
  • Geometry

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

Artist

George W. Hart

A sculptor and mathematician working mainly with polyhedra. Alongside his sculptures, the site hosts long-standing educational material such as the Virtual Polyhedra encyclopedia.

  • Geometry
  • Symmetry

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

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

Society Revisited

The Bridges Organization

A non-profit devoted to the connections between mathematics and art, music, architecture and culture. It runs the annual Bridges conference, held since 1998 and a central venue for mathematical art exhibitions and papers.

  • Mathematics
  • Geometry
  • Symmetry