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Interactive laboratory // 32 published
Interactive Math Simulations & Visualizations — Free
Free interactive math tools: calculus, algebra, geometry, probability, fractals, linear algebra, and more. Visualize concepts instead of memorizing them.
Mathematics
Abstract Algebra Explorer – Groups, Rings & Fields
Explore abstract algebra interactively: construct groups, rings, and fields, verify axioms, and visualize Cayley tables. Ideal for students studying modern algebra and algebraic structures.
Mathematics
Algebra Visualizer – Equations, Functions & Inequalities
Visualize algebra concepts: solve linear and quadratic equations, graph functions, and explore inequalities with an interactive algebra tool designed for students at every level.
Mathematics
Bezier Curve Simulator: de Casteljau Explained
Interactive Bezier curve simulator: drag control points and watch the de Casteljau algorithm build the smooth curve step by step at parameter t.
Mathematics
Calculus Visualizer – Derivatives, Integrals & Limits
Explore calculus concepts visually: plot derivatives, compute definite integrals with Riemann sums, and investigate limits. Built for students learning differential and integral calculus.
Mathematics
Collatz Conjecture Simulator: The 3n+1 Problem
Interactive Collatz conjecture simulator: watch any starting number ride the 3n+1 sequence down to 1. Adjust the seed, speed, and log scale to explore hailstone paths.
Mathematics
Combinatorics Explorer – Counting, Permutations & Combinations
Master combinatorics with interactive tools: compute permutations, combinations, and partitions, explore Pascal's triangle, and visualize counting principles with real examples.
Mathematics
Derivative Explorer — See the Tangent Line and Slope f′(x)
Slide a point along a curve and watch the tangent line pivot — its slope is the derivative. Overlay the whole derivative curve and see it hit zero at every peak and valley.
Mathematics
Differential Equations Solver – ODE Visualizer
Solve and visualize ordinary differential equations interactively: plot slope fields, trace solution curves, and apply Euler's method. Essential for students studying ODEs and mathematical modeling.
Mathematics
Fourier Transform Visualizer – Frequency & Signal Analysis
Understand the Fourier transform by decomposing signals into frequencies: build waveforms from sine components, apply the DFT, and see spectrograms update in real time.
Mathematics
Fractal Explorer – Mandelbrot Set & Self-Similarity
Explore fractals interactively: zoom into the Mandelbrot set, generate Julia sets, and discover self-similar patterns in nature. Understand iteration, complex numbers, and infinite detail.
Mathematics
Fractal Tree Simulator: Recursive Branching Explained
Fractal tree simulator to build recursive, self-similar branching. Adjust angle, depth, branches, and wind, and watch leaf tips and branch counts grow live.
Mathematics
Function Grapher – Plot & Analyze Math Functions
Graph any mathematical function instantly: plot multiple curves, find intersections, analyze extrema, and explore transformations. A versatile function grapher for students and educators.
Mathematics
Galton Board Simulator: Bell Curve Explained
Interactive Galton board simulator: drop balls through pegs and watch a normal distribution form. Adjust rows, bias, and rate to explore the binomial curve.
Mathematics
Game Theory Explorer – Strategies, Nash Equilibrium
Explore mathematical game theory: set up payoff matrices, find Nash equilibria, and simulate classic games like Prisoner's Dilemma. See how strategic reasoning shapes decisions.
Mathematics
Geometry Explorer – Shapes, Proofs & Constructions
Explore Euclidean geometry interactively: construct triangles and circles, verify theorems, and measure angles and areas. Perfect for students learning plane geometry and geometric proofs.
Mathematics
Golden Ratio Spiral Simulator: Fibonacci Explained
Interactive golden ratio spiral simulator. Watch Fibonacci squares tile into a rectangle, draw the golden spiral, and see the ratio converge to phi (1.618).
Mathematics
Graph Theory Visualizer – Networks, Paths & Algorithms
Explore graph theory interactively: build graphs, find shortest paths, detect cycles, and run spanning tree algorithms. Essential for computer science and discrete mathematics students.
Mathematics
Linear Algebra Visualizer – Vectors, Matrices & Transforms
Visualize linear algebra: perform matrix operations, apply linear transformations to 2D and 3D vectors, find eigenvectors, and explore vector spaces with an interactive tool.
Mathematics
Monte Carlo Pi Simulator: Estimate Pi Explained
Interactive Monte Carlo pi simulator: throw random darts into a square, watch green hits inside the circle estimate pi as 4x(inside/total) and converge live.
Mathematics
Monte Carlo Simulation – Randomness & Estimation
Understand Monte Carlo methods by estimating π, modeling risk, and solving integrals with random sampling. See how large numbers of random trials converge to accurate estimates.
Mathematics
Number Theory Explorer – Primes, Modular Arithmetic
Explore number theory interactively: find prime numbers with the Sieve of Eratosthenes, compute GCDs, apply modular arithmetic, and investigate Fermat's and Euler's theorems.
Mathematics
Numerical Methods Lab – Root Finding & Approximation
Apply numerical methods interactively: find roots with bisection and Newton-Raphson, interpolate data, and solve differential equations numerically. See error and convergence in real time.
Mathematics
Probability Simulator – Distributions & Random Events
Explore probability with interactive simulations: flip coins, roll dice, sample distributions, and visualize the central limit theorem. Build intuition for random variables and expected value.
Mathematics
Pythagorean Theorem Visual Proof Simulator
Interactive Pythagorean theorem visual proof: pour the liquid from squares a² and b² into c² and watch a²+b²=c² fill exactly to the brim.
Mathematics
Quadratic Explorer — Graph y = ax² + bx + c Interactively
Drag the a, b, and c coefficients and watch the parabola respond in real time — vertex, axis of symmetry, roots, and the discriminant that decides how many real roots exist.
Mathematics
Riemann Sum Simulator: Area Under a Curve Explained
Interactive Riemann sum simulator: drag rectangles under a curve, compare left, midpoint and right rules, and watch the sum converge to the exact integral.
Mathematics
Sieve of Eratosthenes Simulator: Find Primes
Interactive Sieve of Eratosthenes simulator that crosses out multiples to reveal prime numbers. Watch the algorithm animate step by step and learn how primes emerge.
Mathematics
Sine and Cosine Wave Simulator: Amplitude, Phase
Interactive sine and cosine wave simulator. Drag amplitude, frequency, and phase sliders to see y = A sin(2πf·x + φ) animate and read period live.
Mathematics
Statistics Explorer – Data Analysis & Hypothesis Testing
Analyze data with interactive statistics tools: compute descriptive statistics, visualize distributions, run hypothesis tests, and explore correlation and regression with real datasets.
Mathematics
Topology Explorer – Surfaces, Continuity & Spaces
Explore mathematical topology: deform surfaces, identify topological equivalence, visualize Möbius strips and Klein bottles, and understand continuous transformations and genus.
Mathematics
Unit Circle and Sine Wave Simulator Explained
Interactive unit circle simulator: watch a rotating point trace the sine and cosine waves in real time, with live angle, sin, and cos readouts.
Mathematics
Vector Addition Simulator: Parallelogram Rule
Interactive vector addition simulator. Drag angle and length sliders for two vectors and watch the parallelogram rule build the resultant with live magnitude readouts.
32 published simulations
Free interactive math tools: calculus, algebra, geometry, probability, fractals, linear algebra, and more. Visualize concepts instead of memorizing them.