โšก Interactive Computational Laboratory

60 Real-Time AI, Physics & Mathematical Simulators

100% client-side algorithmic simulations. Manipulate neural nodes, quantum attractors, particle fields, and tokenization vectors directly in your browser with zero latency.

60 Live Engines
5 Disciplines
0 ms Server Load
60 FPS Audio & Motion
๐ŸŒ All Simulators (60) ๐Ÿ“Š AI & DATA (13) ๐Ÿ‘๏ธ VISION & ROBOTICS (13) ๐ŸŒ€ PHYSICS & CHAOS (13) ๐Ÿงฎ MATH & STATISTICS (12) ๐Ÿ” LLM & CRYPTOGRAPHY (9)
๐Ÿ”
TOOL 46 MATH & STATISTICS

๐Ÿงช The Bayes' Theorem Diagnostic Filter

Prior probability, likelihood ratios, and posterior belief updating.

P(A \mid B) = \frac{P(B \mid A) P(A)}{P(B)}
Launch Simulation →
TOOL 47 MATH & STATISTICS

๐Ÿ–ผ๏ธ The Fourier Image Compression Sliders

2D Discrete Cosine Transform (DCT) frequency quantization (JPEG pipeline).

F(u,v) = \frac{1}{4} C(u) C(v) \sum_{x=0}^{7} \sum_{y=0}^{7} f(x,y) \cos\frac{(2x+1)u\pi}{16} \cos\frac{(2y+1)v\pi}{16}
Launch Simulation →
TOOL 48 MATH & STATISTICS

๐Ÿงญ The Vector Field Particle Flow

Divergence, curl, and gradient flow lines in 2D vector calculus.

\nabla \cdot \mathbf{F} = \frac{\partial P}{\partial x} + \frac{\partial Q}{\partial y}, \quad \nabla \times \mathbf{F} = \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}
Launch Simulation →
TOOL 49 MATH & STATISTICS

๐Ÿ“ The Complex Number Mandelbrot Plotter

Argand diagram mapping real and imaginary quadratic feedback orbits.

z = x + iy, \quad z^2 = (x^2 - y^2) + i(2xy)
Launch Simulation →
TOOL 50 MATH & STATISTICS

๐Ÿชก ๅธƒไธฐๆŠ•้’ˆ (Buffon's Needle) Probability Experiment

Geometric probability dropped across parallel lines calculating Archimedes' constant.

P = \frac{2l}{\pi d} \implies \pi = \frac{2l \cdot N_{\text{total}}}{d \cdot N_{\text{cross}}}
Launch Simulation →
TOOL 51 MATH & STATISTICS

โฌก Conway's Hexagonal Automata

Non-Cartesian 6-neighbor honeycomb lattice cellular automata survival rules.

S_{t+1}(c) = f\left(\sum_{i=1}^{6} N_i(c)\right)
Launch Simulation →
TOOL 52 LLM & CRYPTOGRAPHY

โœ‚๏ธ The Tokenization Cutting Board

Byte-Pair Encoding (BPE) iterative subword merge frequency slicing.

\text{Merge}(t_a, t_b) \to t_{ab} \quad \text{where } \text{freq}(t_a t_b) = \max
Launch Simulation →
TOOL 53 LLM & CRYPTOGRAPHY

๐ŸŒก๏ธ The Temperature Vector Sampler

Logit scaling, top-k truncation, and nucleus (top-p) cumulative probability sampling.

P(w_i) = \frac{\exp(z_i / T)}{\sum_j \exp(z_j / T)}, \quad \sum_{i \in V^{(p)}} P(w_i) \ge p
Launch Simulation →
TOOL 54 LLM & CRYPTOGRAPHY

๐Ÿ“ฝ๏ธ The NeRF Camera Raycast Volumizer

Neural Radiance Fields volumetric raymarching through continuous 5D coordinates.

C(\mathbf{r}) = \int_{t_n}^{t_f} T(t) \sigma(\mathbf{r}(t)) \mathbf{c}(\mathbf{r}(t), \mathbf{d}) dt
Launch Simulation →

Showing 46 to 54 of 60 interactive simulations