See the Physics.
Feel the Math.

1D Kinematics: Position, Velocity & Acceleration

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.

Bernoulli's Principle & Fluid Flow

Binary Star System (Barycenter Orbits)

Interactive 3D simulation of a binary star system. Understand center of mass (barycenter), orbital periods, and universal gravitation.

Buoyancy & Archimedes Principle

Drop objects of different densities into fluid of adjustable density. Observe buoyant force, weight, and net force to predict whether objects sink, float, or remain neutrally buoyant — all in 3D.

Circular Motion & Centripetal Force

Visualize uniform circular motion with adjustable radius and speed. See how centripetal acceleration and net force always point toward the center, and explore the role of tension, gravity, and normal force.

Conservation of Energy

Damped Harmonic Oscillation

Interactive 3D damped spring-mass simulator. Explore underdamped, critically damped, and overdamped regimes with live analytical charting and decay envelopes.

Doppler Effect 2D

Simulate sound wave propagation from a moving source. Calculate perceived frequencies for front and rear observers, and explore the Mach Cone (sonic boom) during supersonic flight.

Elastic & Inelastic Collisions

Fluid Pressure & Depth

Free Body Diagram Builder

Friction on Inclined Plane

Gravitational Potential Energy Well

Interactive 3D potential energy well simulator. Understand negative gravitational potential energy, kinetic energy, and escape velocity.

Impulse & Momentum

Kepler's Laws of Planetary Motion

Prove Kepler's Laws visually. Alter orbital eccentricity and watch as planets sweep out perfectly equal geometric areas in equal times, regardless of whether they are slingshotting past perihelion or crawling through aphelion.

Momentum & Elastic Collisions

Interactive 1D collision physics simulator. Explore elastic and inelastic collisions, coefficient of restitution, and live momentum/energy conservation charts.

Newton's Second Law

Pendulum Oscillation

Visualize the simple pendulum and its harmonic motion. Investigate how length, gravity, and mass affect the period and frequency, complete with real-time energy bar charts.

Projectile Motion

Visualize 2D projectile trajectories with adjustable launch angle, initial velocity, and gravitational acceleration. Observe how each parameter affects range, maximum height, and time of flight in real time.

Projectile Motion & Air Drag

Interactive 3D physics simulator comparing ideal projectile motion to realistic air resistance. Graph terminal velocity and explore nonlinear trajectories.

Rolling Motion & Moment of Inertia Race

Simulate a Solid Sphere, Solid Cylinder, Hoop, and Sliding Box racing down an inclined plane. Visualize exactly how rotational inertia affects linear acceleration and energy conversion.

Rotational Kinematics & Angular Momentum

Interactive 3D rotational mechanics simulator. Drop point masses onto a spinning disk to observe angular momentum conservation and kinetic energy dissipation.

Simple Harmonic Motion

Explore mass-spring oscillations and energy transformations. Adjust mass, spring constant, and damping to observe how frequency, amplitude, and energy interchange between kinetic and potential forms.

Spring Potential Energy

Standing Waves & Harmonics Lab

Interactive 3D simulation of standing waves on a string. Visualize nodes, antinodes, wave superposition, and harmonics with live D3 interference analysis.

Standing Waves in Pipes/Strings

Visualize harmonic resonance standing waves in strings and air columns (open and closed pipes). Calculate wavelength, frequency, and locate nodes and antinodes.

Torque & Rotational Equilibrium

Interactively balance forces on a rigid lever by placing masses at different distances from the pivot. Observe torque magnitudes and directions, and understand the condition for rotational equilibrium.

Universal Gravitation & Orbits

Interactive 3D space simulator for Newton's Law of Universal Gravitation. Launch satellites, observe elliptical orbits, and track kinetic and potential energy live.

Velocity

Wave Interference & Superposition

Interactive 3D ripple tank for studying mechanical wave interference. Manipulate wavelength, frequency, and source distance to observe nodal lines and superposition.

Work

Action of Hormones

ATP Synthesis & Chemiosmosis

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.

Cell Membrane Transport

Cellular Respiration Explorer

Cladogram & Phylogenetic Tree

CRISPR-Cas9 Mechanism 3D Visualizer

Visualizes the complete CRISPR-Cas9 genome editing process, tracking PAM recognition, DNA unwinding, gRNA matching, and the double-strand break in 3D.

DNA Replication Fork

ELISA Assay Simulator

Enzyme Kinetics

Gel Electrophoresis

Hardy-Weinberg Equilibrium

Lac Operon Regulation

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.

Meiosis & Genetic Variation

Mendelian Genetics

Meselson-Stahl DNA Replication

Replicate the most beautiful experiment in biology. Centrifuge radioactive nitrogen isotopes (15N vs 14N) across bacterial generations to generate heavy, hybrid, and light DNA bands proving semi-conservative replication.

Mitosis Phases

Neuron Action Potential

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.

PCR Thermal Cycling

Pedigree Analysis Builder

Photosynthesis: Light Reactions

Population Growth Models

The Calvin Cycle

Track the fixation of Carbon Dioxide by Rubisco and the energy transfer from Light-Dependent ATP/NADPH to synthesize G3P.

Atomic Orbital Shapes

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.

Electron Configuration

Enthalpy vs Entropy (ΔG)

First-Order Kinetics Decay

Galvanic (Voltaic) Cell

Galvanic vs Electrolytic Cells

Gas Laws

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.

Ideal Gas Law Simulator

Intermolecular Forces

Ionic vs Covalent Bonding

Ksp & Precipitation

Le Chatelier's Principle

Le Chatelier's Principle & Equilibrium

Simulates Le Chatelier's Principle allowing users to inject molecules, change volume/pressure, and shift temperature to observe real-time equilibrium shifts (N2O4 \u21CC 2NO2).

Mass Spectrometry

Maxwell-Boltzmann Distribution

Visualize how temperature and molar mass shift the kinetic energy distribution of particles, affecting the proportion that overcome the Activation Energy.

Periodic Trends Explorer

Photoelectron Spectroscopy (PES)

Reaction Energy Diagrams

Reaction Mechanisms & Energy Profiles

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.

Titration Curve Simulator

VSEPR Molecular Geometry

Explore 3D molecular geometries for common electron-domain configurations. Rotate and inspect tetrahedral, trigonal planar, linear, octahedral, and bent structures. Understand how lone pairs distort ideal bond angles.

Aquifer Drawdown & Saltwater Intrusion

Examine groundwater dynamics under agricultural duress. Over-pump the well to witness the Cone of Depression collapse the water table, eventually drawing up toxic saltwater from the deep aquifer and ruining the well.

Atmospheric Circulation

Observe global wind patterns across the Earth's cross-section. Toggle the Coriolis effect to see how the Earth's rotation deflects the Trade Winds and Westerlies within the Hadley, Ferrel, and Polar cells.

Biomagnification Simulator

Introduce a trace amount of a persistent toxin like DDT into an aquatic ecosystem and watch as the concentration multiplies exponentially up the food chain to the apex predator.

Carbon Cycle Visualizer

Demographic Transition Model

Drinking Water Treatment

Step through the municipal drinking water purification process. Observe coagulation, flocculation, sedimentation, filtration, and disinfection.

El Niño & La Niña (ENSO)

Analyze the El Niño-Southern Oscillation (ENSO). Toggle between Normal, El Niño, and La Niña phases to observe shifting trade winds, ocean temperatures, and upwelling.

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.

Eutrophication & Hypoxia System

Trigger an ecological collapse. Release nitrogen and phosphorus Agricultural Runoff to force an Algal Bloom, then watch the horrific spike in Biological Oxygen Demand (BOD) that strips Dissolved Oxygen (DO) and causes an aquatic Dead Zone.

Food Web & Energy Flow

Greenhouse Effect & Global Warming

Island Biogeography Model

Simulate the Theory of Island Biogeography by adjusting island size and distance from the mainland. Observe how immigration and extinction rates determine the equilibrium number of species.

LD50 Toxicity Curve

Analyze dose-response sigmoidal curves to determine the Lethal Dose 50% (LD50) of various chemical toxins. Understand acute toxicity and threshold levels.

Nuclear Fission Reactor

Operate a Pressurized Water Reactor (PWR). Control the fission chain reaction using control rods and monitor core temperatures to prevent a nuclear meltdown.

Ozone Layer & UV Radiation

Plate Tectonic Boundaries

Examine tectonic plate interactions. Select Divergent, Convergent, or Transform boundaries to visualize mantle convection driving lithospheric drift.

Soil Texture Triangle

Determine soil classification using the USDA Soil Texture Triangle. Adjust Sand, Silt, and Clay percentages to find the precise intersection point.

Solar & Wind Energy Comparison

Survivorship Curves

Compare Type I, Type II, and Type III survivorship curves. Understand the distinction between K-selected and r-selected reproductive strategies across the animal kingdom.

Trophic Energy Pyramid

Observe the 10% Rule in action: Energy flows in one direction and 90% is lost at each step, explaining why ecosystems rarely support chains longer than 5 levels.

Wastewater Treatment

Examine the physical, biological, and chemical stages of sewage treatment. Understand the role of aeration and activated sludge in reducing biological oxygen demand (BOD).

Carnot Cycle Explorer

Trace the ideal thermodynamic Carnot Engine. Calculate P-V diagram work area, thermodynamic efficiency, and heat transfer across isothermal and adiabatic processes.

Continuity Equation & Flow Rate

Electric Field of Point Charges

Electric Potential & Equipotentials

Electromagnetic Induction

Entropy in Heat Engines

Visualize the 2nd Law of Thermodynamics. Build reversible Carnot engines and irreversible real engines to track the exact entropy changes in the hot reservoir, cold reservoir, and the universe.

Isobaric & Isochoric PV Processes

Visualize work as the area underneath a PV curve. Discover why an Isochoric process performs zero work while an Isobaric process expands or compresses.

Magnetic Field & Charged Particle

Mass Defect & Binding Energy

Weigh the separate protons and neutrons against the bound nucleus of specific isotopes. Convert the missing mass defect into nuclear strong force binding energy using E=mc².

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'.

Ohm's Law & Resistance

Pascal's Principle & Hydraulic Systems

Photoelectric Effect

Experiment with the quantum nature of light. Adjust wavelength, intensity, target metal, and stopping potential to verify the Einstein photoelectric equation.

Quantum Bohr Model

Visualize electron orbital transitions in Hydrogen-like atoms. Calculate photon emission wavelengths and generate real-time spectral lines (Lyman, Balmer, Paschen).

RC Circuit Charging & Discharging

Refraction & Snell's Law

Series & Parallel Circuits

Special Relativity: Time Dilation & Length Contraction

Visualizes the counter-intuitive effects of velocity approaching the speed of light, exploring time dilation and length contraction through a moving observer frame.

Thin Lens Equation Simulator

Construct dynamic ray diagrams for converging and diverging lenses. Analyze real/virtual image formation using the thin lens equation and magnification formulas.

Wave Interference & Double-Slit

ANOVA Variance Ratio

Deconstruct Analysis of Variance geometrically. Shift group means (MSB) and internal scatter (MSW) to see the massive impact on the F-statistic and P-value.

Binomial Distribution

Boxplot & Outlier Visualizer

Central Limit Theorem

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.

Chi-Square Goodness of Fit

Calculate and visualize deviations from expected categorical frequencies. Generates the exact right-skewed Chi-Square distribution and P-Value tail.

Confidence Intervals

Hypothesis Testing

Least

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.

Margin of Error Simulator

Visualize exactly what the Margin of Error means geometrically. Observe how increasing sample size shrinks it while demanding higher confidence widens it.

Normal Distribution Explorer

Adjust mean and standard deviation to see how the normal distribution bell curve shifts and stretches. Shade probability regions to compute areas under the curve and connect z-scores to percentiles.

Power of a Test Curve

Visualize how Statistical Power responds dynamically to Effect Size (mu_a), Sample Size, and Alpha. Plot the complete functional power curve.

Residual Plots

Evaluate the appropriateness of Least Squares Regression Lines (LSRL). Detect curvilinear patterns, heteroscedasticity, and influential outliers.

Sampling Distributions (CLT)

Struggle with the Central Limit Theorem? Draw 10,000 samples from highly skewed or bimodal parent populations and watch the perfect normal bell curve emerge.

Scatter Plot & Correlation

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.

t-Distribution vs Normal

Examine the heavy-tailed Student's t-distribution. Increase degrees of freedom (df) to watch it perfectly converge into the standard normal z-distribution.

Type I/II Error Tradeoff & Power

Visualize the fundamental tradeoff between alpha, beta, and statistical power in Hypothesis Testing. Interactive normal distribution sampling curves.

Area Between Two Curves

Chain Rule Visualizer

Derivative & Tangent Line Visualizer

Drag a point along any differentiable function to see the tangent line update in real time. Visualize how the slope of the tangent equals the derivative value, and explore where derivatives are zero or undefined.

Exponential Growth & Decay

Fundamental Theorem of Calculus

L'Hôpital's Rule

Limits & Continuity

Mean Value Theorem Visualizer

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.

Optimization Problems

Related Rates Visualizer

Riemann Sum Explorer

Interactively approximate definite integrals using left, right, and midpoint Riemann sums. Adjust the number of rectangles to watch the approximation converge to the true area under the curve.

Slope Field Explorer

Generate slope fields for any first-order ODE and trace solution curves through arbitrary initial conditions. Visualize how solutions behave near equilibria, and develop intuition for qualitative analysis.

Solid of Revolution 3D Visualizer

Interactive Calculus visualizer converting 2D function areas into 3D volumes of revolution using Disk and Washer methods.

Taylor Series

Volumes of Solids of Revolution

Volumes w/ Known Cross Sections

ε-δ Definition of a Limit

Brain Hemispheres & Lobes

Explore the Cerebral Cortex. Interactive neuroanatomy highlighting the Frontal, Parietal, Occipital, and Temporal lobes, along with the Cerebellum and Brainstem.

Classical Conditioning

Conformity Studies (Asch)

Simulate Solomon Asch's classic line experiment. Experience normative social influence as confederates give unanimous wrong answers, and see how a single dissenter shatters conformity.

Eye & Retina Anatomy

Trace visual processing from Cornea to Optic Nerve. Zoom into the Retina to understand the counter-intuitive flow from Photoreceptors (Rods/Cones) to Bipolar and Ganglion cells.

Kohlberg's Moral Development

Navigate the Heinz Dilemma. Choose whether to steal the life-saving drug, and explicitly select your reasoning to reveal your position on Kohlberg's 3-level Moral Pyramid.

Maslow's Hierarchy of Needs

Memory & Encoding

Memory Processing Models

Visualize the Atkinson-Shiffrin Multi-Store Model. Trace information flow from Sensory Input to Working Memory, and apply Rehearsal to encode it permanently into Long-Term Memory.

Neuron & Action Potential

Normal Distribution & IQ

Operant Conditioning

Master B.F. Skinner's Quadrant. Operate a simulated Skinner Box to see how Positive/Negative Reinforcement and Punishment shape the likelihood of future behaviors.

Piaget's Cognitive Stages

Test children's cognitive development across Jean Piaget's 4 stages. Conduct interactive tests for Object Permanence, Egocentrism, Conservation, and Hypothetico-Deductive Reasoning.

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.

Signal Detection Theory

Sleep Stages EEG

Analyze brain wave patterns across the sleep cycle. Differentiate between Alpha/Beta (Awake), Theta (N1), Spindles (N2), Delta (N3), and Paradoxical Sawtooth waves (REM).

Split Brain Experiments

Examine patients with a severed Corpus Callosum. Flash stimuli to isolated visual fields and discover why the Left Hemisphere can speak 'ART' while the Right Hemisphere points to 'HE'.

Visual Illusions Simulator

Explore Gestalt principles and Top-Down processing heuristics. Manipulate the parameters of classic optical illusions (Müller-Lyer, Ponzo, Ebbinghaus) to see how the brain constructs 3D reality from 2D retina images.

Arc Length of a Curve

Euler's Method Simulator

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.

Infinite Series Error Bounds

Integration by Parts

Logistic Growth Model

Maclaurin Series Visualizer

Increase the polynomial degree to observe how Taylor/Maclaurin series mathematically trace transcendental functions like sin(x) and e^x.

Parametric Equations

Polar Area & Curves

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.

Series Convergence Tests

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.

Vector Calculus Motion

2D Array Traversal

Deconstruct nested loops covering Row-Major, Column-Major, and boundary tracing across a 2D integer matrix.

Array & ArrayList Operations

Array vs ArrayList Memory Resizing

Witness the internal array backing an ArrayList dynamically resize. Compare fixed memory bounds against O(N) copy operations when capacity is exceeded.

Big-O Complexity

Binary Search Tree

Construct dynamic 2D Binary Search Trees element by element. Run animated depth-first traversals (In-order, Pre-order, Post-order) stepping through the recursive call stack.

Heapsort Visualization

Visualize treating a flat array as a Complete Binary Tree. Watch the algorithm Build Max Heap, then extract elements to sort in O(N log N) time without extra memory.

Inheritance & Polymorphism

Object Orientation Stack vs Heap

Eliminate aliasing bugs by visualizing Java's Stack vs Heap memory. See how references map to object instances and primitives copy by value.

Recursion Call Stack Memory

Step through factorial and Fibonacci recursive calls frame-by-frame. Watch the LIFO Call Stack grow and trace return values bubbling up from the Base Case.

Recursion Visualizer

Recursive Fibonacci Call Tree

Visualize how a single recursive method spawns a massive Call Tree of overlapping sub-problems. Observe exponential O(2^n) inefficiency.

Sorting Algorithms O(N^2) vs O(N log N)

Visualize Selection, Insertion, and Merge sort line-by-line. Track memory accesses, array swaps, and Big-O efficiency in real time.

Stack & Queue

Agricultural Origins Map

Explore the First Agricultural Revolution on an interactive timeline. Click flashing hearths to discover the origin points for global domestication of plants and animals.

Central Place Theory

Unlock Walter Christaller's urban model. Toggle Range and Threshold parameters across a hexagonal grid to understand the spatial distribution of hamlets, villages, towns, and massive Central Cities.

Choropleth Map Explorer – AP Human Geography

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DTM Expanded Model

Scrub through the 5 stages of the Demographic Transition Model. Watch CBR, CDR, and Natural Increase shift while witnessing the real-time morphing of population pyramids.

Gravity Model – AP Human Geography

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Migration Push/Pull Factors

Visualize the forces of global migration. Set economic, political, and environmental push/pull factors, and watch how intervening obstacles and opportunities alter the migration stream.

Population Pyramid – AP Human Geography

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Rostow's Stages of Growth

Navigate the 5 linear stages W.W. Rostow asserted all countries must pass through to modernize, from Traditional Society to High Mass Consumption.

Supply Chain Routing

Test Weber's Least Cost Theory. Drag factory locations across a map to balance raw material and market distances for bulk-gaining and bulk-reducing industries.

Types of Diffusion – AP Human Geography

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Urban Land Use Models – AP Human Geography

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Urban Models: Burgess/Hoyt

Compare the core North American urban models. Toggle between the Burgess Concentric Zone and Hoyt Sector models to understand socio-economic spatial layout.

Von Thünen Model – AP Human Geography

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Branches of Gov Checks/Balances

Visualize the Madisonian Model of Separation of Powers. Trigger interactive scenarios to see how a Bill becomes Law, faces a Presidential Veto, Congressional Override, and ultimately Judicial Review.

Branches of Government – AP US Government

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Constitutional Amendments Timeline – AP US Government

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Electoral College Map

Navigate the 'Race to 270'. Manipulate an interactive US cartogram to see how Winner-Take-All systems grant outsized power to a handful of battleground Swing States.

Electoral College Map – AP US Government

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Federal vs State Powers

Master the 10th Amendment and Federalism. Sort Delegated, Reserved, and Concurrent powers into an interactive Venn Diagram to understand the division of authority in the US system.

Gerrymandering Visualizer

Master the dark arts of Redistricting. Draw boundaries on a 5x5 voter grid to test Packing and Cracking strategies that allow a numerical minority to control the legislature.

How a Bill Becomes a Law

Navigate the legislative obstacle course. Understand the complex pipeline designed by the founders to filter out and kill most legislation before reaching the President.

How a Bill Becomes a Law – AP US Government

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Landmark Supreme Court Cases – AP US Government

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Political Spectrum – AP US Government

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SCOTUS Landmark Cases

Explore the 15 required AP US Government Supreme Court cases on an interactive timeline. Examine case facts, constitutional questions, and the profound impact of judicial review.

The Iron Triangle

Explore Issue Networks and the 'Revolving Door'. Simulate the exchange of campaign funding, friendly legislation, and low-regulation contracts between Congress, Bureaucracy, and Interest Groups.

Game Theory Payoff Matrix

Model oligopolistic behavior. Highlights Dominant Strategies and Best Responses to isolate Nash Equilibriums in classic scenarios.

Lorenz Curve & Gini

Graph income inequality mathematically. Bend the Lorenz curve from Perfect Equality to extreme inequality and watch the Gini Coefficient (A/(A+B)) update in real-time.

LRATC Envelope Curve

Understand firm costs in the Long Run. Slide targeted production scales to track how Short-Run Average Total Cost curves (SRATC) form the Returns to Scale envelope.

Market Structures Comparison

Perfect Competition vs Monopoly

Compare the horizontal Demand curve of a Perfectly Competitive firm against the downward-sloping Demand curve of a Monopoly to locate Deadweight Loss (DWL).

Price Controls & Surplus Visualizer

Impose brutal government administrative limits on the Free Market. Slide Price Ceilings (Rent Control) and Price Floors (Minimum Wage) across the equilibrium to instantly graphically calculate the resulting Shortage/Surplus and Deadweight Loss.

Price Elasticity of Demand

Production Possibilities Frontier

Profit Maximization (MR = MC)

Drag the market price line to find the optimal quantity where MR intercepts Marginal Cost. Instantly calculates Total Economic Profit or identifies the Shutdown point when Price falls below AVC.

Supply & Demand Curves

Tariff Deadweight Loss

Simulate protectionist trade policy. Imposing a tariff elevates the world price, mathematically shrinking Consumer Surplus while generating Government Revenue and Deadweight Loss triangles.

Tax Incidence & Deadweight Loss Simulator

Settle the debate over who actually pays taxes. Adjust Supply/Demand elasticities and apply an Excise Tax to instantaneously visualize the Consumer Burden (Blue), Producer Burden (Red), and the inefficient Deadweight Loss (Yellow).

Ampère's Law

Biot-Savart Law & Magnetic Field

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.

Capacitor & Dielectric

Electric Field & Equipotential Mapper

Interactive Gaussian graph paper. Map directional vectors of Electric Fields and prove they are perpendicular to drawn Equipotential surfaces.

Electric Field & Gauss's Law

Electric Potential Energy & Potential

Faraday's Law & Lenz's Law

LC Circuit Oscillations

Visualize the differential oscillation of energy between an inductor's magnetic field and a capacitor's electric field. Live graphs of charge and current.

Maxwell's Equations Overview

RL Circuit Transient Response

Transformer Principles

Simulate an ideal transformer using Faraday's Law. Adjust primary/secondary turns and voltages to see magnetic flux transfer and conserve power.

Angular Momentum & Conservation

Ballistic Pendulum Conservation

Analyze the classic dual-phase conservation problem. Shoot a bullet into a block to visualize the entirely inelastic momentum transfer and instantaneous loss of kinetic energy, followed by the pendulum swing where mechanical energy is perfectly conserved.

Center of Mass & Momentum in 2D

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.

Damped & Driven Oscillations

Gravitational Orbits

Kinematics with Calculus

Moment of Inertia Calculator

Rolling Motion (No-Slip)

Terminal Velocity & Drag Force

Examine the differential equations of falling objects experiencing linear and quadratic air resistance. Compare velocity-time graphs and asymptotes.

Work-Energy with Variable Forces

Aggregate Demand & Supply Model

Shift the AD and SRAS curves to visually create Recessionary Gaps, Inflationary Gaps, and Stagflation relative to the LRAS full employment boundary.

Aggregate Demand & Supply

Business Cycle

Comparative Advantage

Calculate Absolute and Comparative advantage dynamically. Adjust Production Possibility Frontiers for two countries to reveal who should specialize in which good based on the lowest opportunity cost.

Crowding Out Effect

Observe how Government Deficit spending spikes Real Interest Rates in the Loanable Funds Market, inadvertently Crowding Out private business investment.

Foreign Exchange Market

Visualize currency Appreciation and Depreciation on the forex market. Shift Supply and Demand curves for US Dollars relative to the Euro based on dynamic global conditions.

Loanable Funds Market & Crowding Out

Visualize the Market for Loanable Funds. Explore how government deficit borrowing causes the Crowding Out effect by driving up the real interest rate, and how foreign capital inflows shift the supply of loanable funds.

Money Market

Money Multiplier

Deconstruct Fractional Reserve Banking. Track an initial deposit dynamically chaining through multiple bank node T-accounts via Excess Reserve lending.

Phillips Curve dynamics

Master the Inflation-Unemployment tradeoff. Separate short-run movements along the SRPC (Demand Shocks) from catastrophic shifts of the entire curve (Supply Shocks causing Stagflation).

Civil Rights Movement – AP US History

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Civil War Battles – AP US History

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Cold War Timeline – AP US History

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Great Depression Indicators – AP US History

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Immigration Waves – AP US History

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Manifest Destiny Map

Visualize the territorial expansion of the U.S. across North America and understand how each acquisition ignited debates over slavery.

Territorial Expansion Map (1783-1898)

Interactive timeline map covering the territorial expansion of the United States. Move the time slider to witness the Manifest Destiny acquisitions, from the Louisiana Purchase to the Gadsden Purchase.

Westward Expansion – AP US History

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Binary Number System

Data Compression

Encryption & Ciphers

Internet Protocols & Routing

Pixel & Image Representation

French Revolution Phases – AP European History

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Industrial Revolution – AP European History

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Renaissance Timeline – AP European History

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R/S Stereocenter 3D Analyzer

Interactive 3D visualization of tetrahedral chiral centers. Practice assigning Cahn-Ingold-Prelog (CIP) priorities, rotate molecules to place the lowest priority group in the back, and determine R or S configurations.

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).

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.

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.