Rotating transparent icosahedron

Evolution of Julia sets as parameter dives into crevice with argument 9/31

Evolution of Julia sets as parameter dives into crevice with argument 1/3

Evolution of Julia sets as parameter circles around −¾

Evolution of Julia sets as parameter moves into a sub-bulb in the Mandelbrot set

Evolution of Julia sets as parameter changes component in the Mandelbrot set

Evolution of Julia sets as parameter leaves the largest bulb of the Mandelbrot set

Evolution of Julia sets as parameter leaves the Mandelbrot set

Evolution of Julia sets as parameter walks the edge of the cardioid of the Mandelbrot set

Evolution of Julia sets as parameter walks the edge of the largest bulb of the Mandelbrot set

Evolution of Julia sets as parameter walks around the Mandelbrot set

The sound of some grassmannians

Random waves on a flat torus (triangular lattice)

Growing circles on a flat torus (square lattice)

Growing circles on a flat torus (triangular lattice)

Projections of the Higman-Sims graph from the Leech lattice (new version)

Waves on a flat torus (square lattice)

Waves on a flat torus (triangular lattice)

Fourier transform of an icosahedron (Coxeter plane view)

Fourier transform of a dodecahedron (Coxeter plane view)

Fourier transform of the E8 root system

Sounds of Lie group representations

Fourier transform of an icosahedron

Fourier transform of a dodecahedron

Voronoi cells of the E8 lattice: 3D cross section with symmetry of order 24, distance map

Voronoi cells of the E8 lattice: random 3D cross section, distance map

Voronoi cells of the E8 lattice: 3D cross section with Coxeter plane, distance map

Voronoi cells of the A8 lattice: 3D cross section with Coexter plane

Voronoi cells of the D8 lattice: 3D cross section with Coxeter plane

Voronoi cells of the E8 lattice: 3D cross section with Coxeter plane (wider view)

Voronoi cells of the E8 lattice: a three-dimensional cross-section with Coxeter plane

Voronoi cells of the E8 lattice: a random three-dimensional cross-section

Spherical Waves

Deforming a rotation by 2 full turns to a trivial one (sequential version)

Deforming a rotation by 2 full turns to a trivial one (illustrating the Spin group)

Deformation of a hexagon with fixed sides and angles

Accelerating toward the speed of light (combined view)

Accelerating toward the speed of light

Ideal rotation of the hyperbolic plane

Hyperbolic kaleidoscope

Visualizing the Earth in different projections

Visualizing the sphere and the hyperbolic plane: five projections of each

The sound of the Cantor set

Rotation of the A3 lattice

Rotation of the E8 root system

The beauty of E8

Transitive permutation groups on six objects

Visiting a Kerr black hole and entering the "other" interior region

Diving into a Kerr black hole

Orbiting a Kerr black hole (the last stable direct orbit)

Between the horizons of a Kerr black hole (the "lazy geodesic")

Visiting a Kerr black hole (corrected version / front view)

Visiting a Kerr black hole (corrected version / combined view)

Visiting a Kerr black hole (old version / front view)

Visiting a Kerr black hole (old version / combined view)

Cubic surface: deformation of an A3 singularity (with conjugate planes) to an A2 singularity

Cubic surface: deformation of an A5 singularity to an A4 singularity

Cubic surface: deformation of an A5 singularity to two A2 singularities

Cubic surface: deformation of a reducible surface to an A5 singularity

Cubic surfaces: deformation of an E6 singularity to an A5 singularity