Syntax Development
Investigating new syntax constructs for pattern composition including quasiquotation and advanced transformation combinators. Formalizing a metasyntax layer for tiling systems.
View Syntax Research →Interactive Systems
Developing WebGL-based real-time visualization tools for λ-calculus patterns. Enabling live rendering and interactive exploration of recursive tiling structures.
View Visualization →Computational Theory
Studying the mathematical properties of recursive pattern generation through formal λ-calculus proofs and computational complexity analysis.
View Recursion Theory →Applied Research
TileGen Project
Experimental system translating λ-calculus expressions into fractal tiling patterns with real-time rendering and geometric transformation capabilities.
Read More →Syntax Validation
Framework for ensuring type safety in recursive patterns, including constraint enforcement for geometric coherence in generated tiling systems.
Read More →Want to Contribute?
We're constantly looking for researchers, computer scientists, and educators collaborators to help advance λ-calculus tiling theory.
Contact Research Team