Interactive visualisations of examples and theory
Cyclic and dihedral groups, the Klein four-group, frieze groups, the 17 wallpaper groups and triangle groups.
6 visualisations
Rotational and full symmetry groups of the tetrahedron, cube, and dodecahedron.
The symmetric group Sn, and the additive and multiplicative groups of integers modulo n.
3 visualisations
Explore cosets, Lagrange's Theorem, and subgroup lattices.
2 visualisations
Visualise group structure through Cayley graphs, and explore group presentations, homomorphisms, and representations.
4 visualisations
Explore the group of the Rubik's Cube, its generators, and how commutators are used to solve it.
1 visualisation