Interactive Visualizations
Interactive Visualizations
Section titled “Interactive Visualizations”Concept Demonstrations
Section titled “Concept Demonstrations”Radar Sweep vs Linear Search
Section titled “Radar Sweep vs Linear Search”Spatial Clustering Visualization
Section titled “Spatial Clustering Visualization”Complexity Comparison
Section titled “Complexity Comparison”3D Sphere Visualization
Section titled “3D Sphere Visualization”Mathematical Visualizations
Section titled “Mathematical Visualizations”Triple Integral Breakdown
Section titled “Triple Integral Breakdown”Interactive Demos
Section titled “Interactive Demos”Performance Scaling
Section titled “Performance Scaling”Key Insights from Visualizations
Section titled “Key Insights from Visualizations”- Radar Sweep: Only examines spatially relevant data points
- Clustering: Natural data organization in spatial coordinates
- Complexity: O(r³) stays constant regardless of total data size
- 3D Sphere: Mathematical precision in defining search boundaries
- Triple Integral: Rigorous mathematical foundation for performance claims
These visualizations demonstrate why spatial storage achieves dramatic performance improvements over traditional approaches.
Interactive visualizations make abstract mathematical concepts concrete and understandable.