Discover the mathematics of pattern and repetition through 24 interactive demonstrations. Draw inside kaleidoscopes, paint wallpaper groups, grow Penrose tilings, and construct Islamic geometric art -- all powered by the deep structure of symmetry groups.
Interactive kaleidoscope drawing with dihedral group symmetry
The 7 frieze groups: translations, reflections, and glide reflections
Paint a motif and watch it tile the plane in all 17 wallpaper symmetries
Platonic and Archimedean tilings with interactive vertex figure explorer
Aperiodic kites & darts with inflation, deflation, and matching rules
Star polygons, rosette construction, and compass-and-straightedge geometry
Deformable tiles that morph between shapes while preserving tessellation
Cut-and-project method, forbidden symmetries, and diffraction patterns