Topology

Knots, Möbius strips, Klein bottles — the mathematics of connection.

Listed in this category 4

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

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

Tool / Software

KnotPlot

The home of a program for drawing mathematical knots and links in three and four dimensions and reshaping them interactively, with a gallery of images made with it. Available for Windows, macOS and Linux — a tool for treating knots as closed curves to shape.

  • Topology
  • Orbits & Curves

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