Geometry is the oldest branch of mathematics, yet it remains one of the most visually stunning and practically relevant. From the honeycomb patterns of Voronoi diagrams to the mind-bending curvature of hyperbolic space, geometric structures appear everywhere — in crystal lattices, city planning, computer graphics, and the fabric of spacetime itself.
These simulations let you manipulate geometric constructions in real time. Generate Voronoi diagrams and their dual Delaunay triangulations. Tile the Poincaré disk with hyperbolic polygons. Rotate Platonic solids in 3D wireframe. Create tessellations with various symmetry groups. Explore how projective transformations distort space.