Showing 12 results
Newton-Raphson Method Root Finder
Track the wild convergence of Newton's Method. Place an initial guess x0 and watch iterative tangent lines slice toward the true polynomial root. Place the guess at a local minimum (f'(x)=0) to provoke absolute visual divergence.
Simpson's Paradox Visualizer
Unlock one of statistics' most counter-intuitive phenomenons. Observe two completely separate datasets that both exhibit strong POSITIVE correlations. Merge them together and watch the global line of best fit instantly reverse into a NEGATIVE correlation.
Millikan Oil Drop Experiment
Recreate the 1909 Nobel-winning experiment. Adjust the voltage across two capacitor plates to suspend falling oil drops in mid-air (qE = mg). Fire the X-Ray ionizer to randomly step the charge up or down in discrete quantized increments of 'e'.
Rutherford Gold Foil Scattering
Fire a continuous stream of alpha particles at a dense lattice of Gold nuclei (Au-79). Watch how the inverse-square Coulomb law dictates violent scattering trajectories, proving that atoms are mostly empty space harboring microscopic dense positive cores.
Coriolis Effect Visualizer
A split-screen comparison revealing the true nature of 'fictitious' forces. Watch a projectile travel in a perfectly straight line from an Inertial space perspective, while simultaneously generating a sweeping curved path on a Rotating earth frame.
Biot-Savart Law 3D Visualizer
Visualize the 3D magnetic field vectors B generated by steady currents. Switch between straight conductive wires, circular loops, and solenoids to understand the Right Hand Rule and spatial 1/r² decay.
Taylor Series Approximation
Watch Maclaurin series polynomials geometrically 'hug' a target original curve. Drag the slider to add higher-degree polynomial terms to sine, cosine, e^x, and ln(1+x), witnessing convergence intervals.
Central Limit Theorem (Galton Board)
A dynamic 2D physics simulation of a Galton Board (Plinko). Drop hundreds of balls that make 50/50 left-right decisions, compounding entirely random events into a mathematically perfect Normal Distribution bell curve.
Neuron Action Potential Simulator
Trigger an electrical stimulus on a neuron and watch the membrane potential graph trace typical Depolarization, Repolarization, and Hyperpolarization phases. Track the live states of Na+ and K+ ion channels.
SN1 vs SN2 Mechanisms 3D
Interactive 3D simulation of nucleophilic substitution reactions. Compare the concerted backside attack of an SN2 mechanism (inversion) with the stepwise planar carbocation of an SN1 mechanism (racemization).
Fourier Series Synthesizer
Visualize how complex waveforms (square, sawtooth, triangle) are synthesized by summing harmonic sinusoids. Slide the N-harmonics parameter to observe the Gibbs phenomenon.
Gradient & Tangent Plane Explorer
Interactive 3D multivariable calculus tool. Slide the coordinates to generate a dynamic tangent plane on a surface and visualize its gradient vector extending in the xy-plane.