Showing 12 results
Atwood Machine & Inclined Plane Dynamics
Interactive 3D simulation of a dual-mass Atwood machine on an inclined plane. Visualizes tension, friction, and Newton's laws dynamically.
Clausius-Clapeyron Vapor Pressure Plotter
Explores the exponential relationship between temperature and vapor pressure, generating real-time linear ln(P) vs 1/T plots based on intermolecular forces.
Lotka-Volterra Predator-Prey Dynamics
Mathematical ecology simulator charting the cyclic phase space between predators and prey. Manipulate birth/death rates to find stable orbits or extinction events.
Improper Integrals & p-Series Convergence
Calculus visualizer demonstrating the paradox of infinite boundaries yielding finite areas (Gabriel's Horn). Dynamically integrate 1/x^p as the bound approaches infinity.
Terminal Velocity & Drag Force
Examine the differential equations of falling objects experiencing linear and quadratic air resistance. Compare velocity-time graphs and asymptotes.
Hess's Law Reaction Pathway Visualizer
Build an algebraic pathway for enthalpy by reversing reactions, scaling stoichiometric coefficients, and adding step energies to find the net reaction.
Bohr Shift & Hemoglobin Oxygen Dissociation
Chart the sigmoidal oxygen binding curve of hemoglobin. Discover how lower pH, higher $CO_2$, and elevated temperatures cause a Right Shift in active muscle tissues.
Radius of Convergence (Ratio Test)
Evaluate Taylor series limits to determine radii of convergence. Visually observe the divergence explosion outside the open boundaries of polynomials.
El Niño Southern Oscillation (ENSO)
Visualize the Pacific Ocean trade winds, thermocline shift, and upwelling mechanisms that govern El Niño and La Niña climate phases.
Electric Field & Equipotential Mapper
Interactive Gaussian graph paper. Map directional vectors of Electric Fields and prove they are perpendicular to drawn Equipotential surfaces.
Retinal Disparity & Binocular Cues
Simulate how the left and right eyes receive slightly different 2D images, allowing the brain to compute 3D depth and convergence angles.
Least Squares Regression Predictor
Dynamically adjust a line of best fit to actively minimize the sum of squared residuals (SSE) compared to the true OLS regression model.