Geometry: The Art of Spatial Reasoning

Discover angles, shapes, proofs, and spatial relationships through interactive 3D models and dynamic geometric constructions. From Euclidean axioms to fractal patterns.

What is Geometry?

Geometry is the mathematical study of shapes, sizes, positions, and properties of space. It uses axioms, theorems, and logical deductions to explore relationships between geometric objects.

Key Concepts

  • Euclidean & Non-Euclidean
  • Triangles & Polygons
  • Circles & Conic Sections
  • Transformations & Symmetry
1

Interactive Proof Builder

Construct geometric proofs with step-by-step validation. Use drag-and-drop elements to form logical arguments and visualize consequences.

Start Proof Exercises →
2

Shape Manipulator

Transform shapes with sliders for angles, lengths, and symmetry. Observe real-time effects on geometric properties and relationships.

Explore Constructions →

Core Geometry Frameworks

Euclidean Axioms

Explore the five postulates that define classical geometry. Modify axioms to see non-Euclidean geometries emerge.

Transformations

Visualize translations, rotations, and dilations in 2D/3D space. Understand symmetry groups and invariance.

Fractal Geometry

Create and analyze complex fractals. Discover self-similar patterns across different scales in nature.

Enhance Your Spatial Intelligence

200+ interactive constructions, 150+ geometric proofs, and 3D visualizations to master geometry concepts at your pace.