Dive into the vast ocean of λ-calculus and β-reduction experiments, visualizations, and community discoveries.
Witness the magic of recursion in λ-calculus with a fixed-point combinator. Explore how it defies traditional functions without explicit recursion.
Run Experiment →Explore how natural numbers emerge in λ-calculus as functions! Watch addition, multiplication, and exponentiation unfold in pure abstraction.
Try Numerals →Watch λ-expressions reduce step-by-step through substitution. Visualize how complex expressions collapse into normal forms in 3D space.
See Reduction →Researcher Zeno3000 shared a breakthrough technique optimizing β-reduction by 37% in nested function evaluations.
View Discussion →A stunning interactive 3D mapping that visualizes nested λ-expressions as living topological structures.
See Visualization →Our sandbox environment let's you explore reductions, test theories, or even create your own λ-calculus visualizations.