From classical Euclidean proofs to fractal dimensions, explore the mathematical foundations of shape, space, and symmetry.
Begin ExplorationExplore essential branches of geometry and their mathematical significance
Study of flat space with axioms and theorems from Euclid's Elements, forming the basis for classical geometry.
Explore ConceptsExploration of curved spaces where Euclid's parallel postulate doesn't hold, including spherical and hyperbolic geometries.
Investigate ModelsInvestigation of self-similar patterns with infinite complexity, revealing nature's mathematical language.
Examine StructuresInteractive environments for constructing geometric proofs using formal logic tools.
3D modeling tools for visualizing complex geometric objects and spatial relationships.
Comprehensive database of geometric theorems with interactive demonstrations and historical context.
Mathematical breakthroughs that shaped our understanding of geometry
Formulated five postulates forming the foundation of classical geometry, including the parallel postulate debate.
Independently developed hyperbolic geometry, creating non-Euclidean spaces with multiple parallel lines.