00:51

Rotating transparent icosahedron

02:47

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

02:47

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

02:17

Evolution of Julia sets as parameter circles around −¾

00:59

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

00:59

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

00:59

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

00:59

Evolution of Julia sets as parameter leaves the Mandelbrot set

02:17

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

02:17

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

02:17

Evolution of Julia sets as parameter walks around the Mandelbrot set

01:31

The sound of some grassmannians

03:01

Random waves on a flat torus (triangular lattice)

03:01

Growing circles on a flat torus (square lattice)

03:00

Growing circles on a flat torus (triangular lattice)

01:28

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

03:01

Waves on a flat torus (square lattice)

03:01

Waves on a flat torus (triangular lattice)

00:49

Fourier transform of an icosahedron (Coxeter plane view)

00:49

Fourier transform of a dodecahedron (Coxeter plane view)

01:37

Fourier transform of the E8 root system

02:53

Sounds of Lie group representations

00:49

Fourier transform of an icosahedron

00:49

Fourier transform of a dodecahedron

01:37

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

01:37

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

01:37

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

00:49

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

00:48

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

00:48

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

00:49

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

00:49

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

02:40

Spherical Waves

03:21

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

00:49

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

00:41

Deformation of a hexagon with fixed sides and angles

01:41

Accelerating toward the speed of light (combined view)

01:40

Accelerating toward the speed of light

02:40

Ideal rotation of the hyperbolic plane

01:20

Hyperbolic kaleidoscope

04:31

Visualizing the Earth in different projections

12:47

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

01:03

The sound of the Cantor set

01:00

Rotation of the A3 lattice

05:15

Rotation of the E8 root system

04:01

The beauty of E8

06:57

Transitive permutation groups on six objects

00:41

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

00:48

Diving into a Kerr black hole

02:36

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

01:31

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

00:44

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

00:44

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

00:44

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

00:44

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

00:13

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

00:13

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

00:13

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

00:12

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

00:13

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