BETA LAB

>> SYSTEM WARNING: EXPERIMENTAL MATHEMATICS DOMAIN <<< /p>

🎭 Dramatic Latency Lab

The 167-Second Pause. Explore the calculus of anticipation, Proof-of-Patience (PoP), and trans-Pacific fiber optic tension.

☁️ Dream

The sky's the limit! Formalize the calculus limits of your dreams in Lean 4.

β›ˆοΈ Dream (Heavy)

Level 5: The Uncompilable Monster. Demands full Mathlib imports to verify.

🌊 Navier-Stokes Fluid Lab

Interactive Eulerian velocity field with Lagrangian particle advection.

🧠 Baby Snakey AlphaGo

Play against the trained AlphaGo Zero neural network.

🐍 Snakey Vibes

Vibe Tourney mode: AI-generated python strategies.

πŸ’₯ Quaternion Multiplier

Interactive 3D Quaternion space. Click two bases to compute their non-commutative product with explosive results!

πŸ“ Toeplitz Inscribed Square

Move 4 points along arbitrary Jordan curves to form an inscribed square.

πŸ•ΈοΈ Graph Isomorphism Checker

Untangle graphs by dragging vertices and test whether two graphs are isomorphic.

πŸ“ Graph Planarity Checker

Move vertices & edges to eliminate crossings and determine if graphs are 2D planar or non-planar (Kβ‚… & K₃,₃).

πŸ”— GNN Matching Solver

Visualize the Hungarian algorithm finding perfect recovery mappings for random geometric graphs via shallow GNN embeddings.

πŸ‘» Harmonic Walker

Brownian motion and harmonic measure density.

🌱 Mandelbrot Plant

Dynamic system trajectories and complex iteration.

β›³ Hyperbolic Golf

Non-Euclidean geodesics on the PoincarΓ© Disk.

πŸ”₯ Brennan's Boundary

Conformal crowding and derivative integrals on fractal domains.

🐎 Van Eck Sequence Race

Watch the limsup behavior of the Van Eck sequence and bet on statistics.

🎯 ErdΕ‘s 90: Unit Distances

Explore the 80-year-old conjecture disproved by AI in 2026. Project high-dimensional lattices & color unit graphs.

🌸 Complex Conformal Tool

Grid and polar mapping of complex functions (zΒ² and more).

✈️ AS815 Flight Predictor

Gamified trans-Pacific arrival times & probability betting.

πŸ” Calculus Sliders

Interact with limit definitions of derivatives and Riemann sum approximations under dynamic parameters.

πŸ” Multivariable Calculus Sliders

Interact with limit definitions of partial derivatives and gradients for 2D surfaces.

🎲 Non-transitive Dice

Explore S₃ group operations with colored spheres. Inspired by Dr. James Grime on Numberphile.

βš›οΈ Shor's Quantum Factorizer

Factor semiprimes classically via sequential scanning versus quantumly via QFT period-finding.

πŸŽͺ Collatz High-Striker

Launch the Collatz puck up the carnival tower and test your strength against the Collatz Conjecture.

🍩 Algebraic Varieties

Map between algebraic ideals and geometric shapes via Hilbert's Nullstellensatz.

πŸ’» Quantum AI: Grover's Search & QFT

Hack hashes via Grover's algorithm and build quantum circuits (QFT) with Google Cirq.

🌌 Dirac Bra-Ket & Qubits Deck

Interactive 10-slide masterclass on quantum state vectors, Bras, Kets, Operators, and Born rule measurements.

⟨v1|v2⟩

⚑ ASIC Blueprint Optimizer

Place logic gates and route wires on multi-layer silicon to optimize Area, Wirelength, and Timing.

🧭 Vector Fields

Interactive 2D vector field simulator with customizable equations, Euler integration, and physics.

πŸ’Ž Noble Polyhedra

Interactive 3D visualization of Isohedral and Isogonal solids, inspired by Connor Hill's Numberphile discovery.