Adjust real controls. Watch the physics respond.

Interactive Simulator Labs

3D interactive simulators across electrical, mechanical, HVAC, networking, AI and more — adjust real controls and watch the physics respond.

170 simulators

Engineering

Applied engineering across every discipline — power, mechanical, HVAC, fire alarm, networking and more.

⚡
AC Generator

A rotating coil between magnetic poles, inducing alternating voltage.

⚡
Steam Turbine Generator

Condensing Rankine-cycle steam turbine simulator with a 3D power island, admission/grid controls, temperature-entropy diagram and condenser/cooling loop.

⚡
Gas Turbine Cycle

Single-shaft, grid-connected Brayton-cycle gas turbine simulator with compressor/turbine design settings, a pressure-ratio sweep and fault/trip logic.

⚡
Combined-Cycle Power Plant

Gas turbine coupled to an HRSG and steam turbine — see how recovered exhaust heat produces extra, fuel-free electrical output.

⚡
Synchronous Generator

Run a wound-field synchronous generator through its prime mover, exciter and breaker, synchronize to a grid or island load, and study phasors, power-angle curves and protection.

⚡
Generator Synchronization

Parallel a generator onto a live bus using the synchroscope, three-dark-lamp method and ANSI 25 sync-check permissives before closing the breaker.

⚡
Generator Excitation

Control a static exciter and AVR to regulate a generator's field current, terminal voltage and reactive power on island or grid networks.

⚡
Governor & Frequency Control

Model a turbine governor and watch droop vs. isochronous control restore frequency after a load change.

⚡
Generator Step-Up Transformer

Follow generator energy through a step-up transformer to the grid, with voltage ratios, losses and thermal behavior.

⚡
Generation vs. Load

Balance two generators, renewables and a battery against demand, and see how inertia and dispatch hold frequency steady.

🔌
Power Transformer

Energize a 50 kVA single-phase transformer, trace core flux and winding heat, and run open-/short-circuit factory tests with fault injection.

🔌
Step-Down Transformation

Step a balanced three-phase 69 kV supply down to a 13.8 kV bus, comparing vector groups, tap regulation and fault response.

🔌
Three-Phase Transformer

Compare vector groups and neutral connections on a three-phase transformer bank under balanced and unbalanced loading.

🔌
Delta vs. Wye Connections

Wire wye and delta three-phase connections by hand and see how it changes line and branch voltage, current and power.

🔌
Transformer Tap Changer

Operate an OLTC or DETC tap changer and automatic voltage regulator on a 10 MVA power transformer.

🔌
Transformer Cooling

Switch between ONAN, ONAF and OFAF cooling arrangements and trace winding, oil and radiator temperatures.

🔌
Circuit Breaker Operation

Charge, close, trip and diagnose a three-pole electronic-trip air breaker, with L/S/I protection tuning and a built-in verification bench.

🔌
Interrupting an Arc

Open a single-pole contact gap under AC or DC supply and watch current-zero extinction race dielectric recovery against imposed voltage.

🔌
Disconnect Switch vs. Breaker

Compare an off-load disconnector's visible isolation against a circuit breaker's rated interruption, with interlocks and an absence-of-voltage test.

🔌
Current Transformer

Adjust primary current, ratio and burden to explore CT saturation, polarity and the open-secondary fault.

🔌
Potential Transformer (PT/VT)

Adjust voltage ratio, burden and lead resistance to explore VT phasors, saturation and fuse-failure faults.

🔌
Protective Relay

Apply feeder faults and follow CT-to-breaker 50/51 overcurrent protection with live time-current curves.

🔧
Overcurrent Protection 50/51

Compare instantaneous (50) and inverse-time (51) relay elements from CT measurement through actual breaker opening.

🔧
Bus Differential Protection

Use signed terminal currents across a four-terminal bus zone to distinguish internal faults, external faults and CT errors.

🔧
Three-Phase Fault

Resolve symmetrical AC fault current, decaying DC offset and per-phase current-zero interruption.

🔧
Reactive Power & Power Factor

Build the power triangle and see what capacitor compensation does to line current.

🔧
Step Potential

Inject a ground fault and measure the step-voltage gradient between two feet over a simplified hemispherical soil model.

🔧
Touch Potential

Inject a ground fault and compare bonded equipment potential against earth-at-feet to explore touch voltage exposure.

🔧
Surge Arrester Operation

Launch a voltage impulse through a nonlinear MOV arrester and see how source impedance and lead inductance affect equipment stress.

🔧
Single-Line Diagram → Physical Equipment

Link one-line diagram symbols to physical switchyard equipment and test breaker, disconnect and earthing interlocks.

🔧
Transformer Differential Protection 87T

Compare compensated HV/LV currents against percentage restraint, CT error and harmonic blocking to trip only on internal transformer faults.

🔧
Substation Bus Arrangements

Switch between single bus, main-tie-main, ring bus and breaker-and-a-half topologies and see which circuits stay supplied.

🔧
Power Flow Through a Substation

Solve a balanced radial 69 kV-to-13.8 kV substation power flow and see how tap, load and feeder impedance drive voltage drop and loss.

🔧
Substation Ground Grid

Explore ground potential rise, step voltage and touch voltage around a substation grounding system in a simplified soil model.

🔋
How a Battery Cell Works

Open a wound lithium-ion cell, follow ion and electron transport paths, and observe terminal voltage, polarization and delivered energy during discharge.

🔋
Series vs. Parallel Cells

Reconfigure a battery pack between series and parallel arrangements and compare voltage, ampere-hour capacity, current sharing and equivalent resistance.

🔋
State of Charge (SOC)

Compare a battery's true state of charge with a coulomb-counting estimate, introduce sensor bias, and correct it with a rested-voltage calibration.

🔋
Battery Charging

Trace a regulated CC/CV charger through constant-current, constant-voltage and termination stages, including temperature-inhibit behavior.

🔋
Thermal Runaway

Apply an external heater to one of four cells and separate an external heating trigger from a bounded internal reaction and neighbor-to-neighbor propagation.

🔋
Battery Cooling

Trace heat from a cell core through its case, a liquid cold plate, circulating coolant and a finned radiator with fan, out to ambient air.

🔋
Battery Management System

Inspect cell-voltage taps, Kelvin current sensing, precharge-gated contactor closure and a latched overcurrent/voltage/thermal protection chain.

🔋
Cell Balancing

Compare passive resistor bleed and active energy-transfer balancing on a mismatched series cell string, with SOC spread, loss and delivered-charge readouts.

🔋
Battery Backup System

Run an online double-conversion UPS through utility loss, battery operation, restoration and reserve exhaustion while protecting a critical load.

🔋
Grid Battery Storage

Dispatch a grid-connected storage rack and bidirectional converter for self-consumption, peak shaving or manual targets, with power/energy limits and SOC reserves.

☀️
Solar PV Cell

Explore how light creates electron-hole pairs and drives current in a silicon solar cell.

☀️
Solar Panel I-V Curve

Trace a 60-cell module's I-V characteristic and see how shading and bypass diodes reshape it.

☀️
Solar Inverter

Start up a 5 kVA grid-following inverter and explore precharge, sync, export and trips.

☀️
MPPT

Compare perturb-and-observe and incremental conductance tracking under shading and noise.

☀️
Islanded Microgrid

Keep a solar-and-battery microgrid powered through an outage and resynchronize safely.

☀️
Wind Turbine Conversion

Explore how wind speed, rotor aerodynamics and drivetrain losses combine to set a turbine's electrical output.

☀️
Wind Turbine Pitch Control

Drive gusts, jam the pitch actuator or reject generator load and watch the governor and collective-pitch mechanism respond.

☀️
Battery Charge/Discharge

Discharge, constant-current charge and CC/CV taper a lithium battery pack while watching voltage, SOC and thermal/BMS protection response.

☀️
Battery Inverter

Control real and reactive power through a bidirectional six-switch battery converter bridge within a 100 kVA capability circle.

☀️
Microgrid Power Flow

Dispatch solar, wind and battery storage against demand and utility exchange limits using self-consumption or peak-shaving policies.

🏢
Automatic Transfer Switch

Fail the normal source, start and qualify a backup generator, and step through a break-before-make open-transition transfer and retransfer.

🏢
Selective Coordination

Inject a fault at branch, feeder or main bus level and compare time-current curves to see which breakers trip and which loads stay supplied.

🏢
Lighting Control

Compare automatic occupancy/daylight control, manual-on vacancy control and manual dimming in a two-zone office lighting fixture.

🏢
Motor Control Center

Run a DOL starter and a VFD feeder side by side to compare thermal overload buildup, short-circuit tripping and drive frequency ramping.

🏢
Panelboard & Branch Circuit

Follow current from a panelboard breaker through a branch-circuit conductor to a receptacle or equipment load and back on the grounded return path.

🏢
Utility-to-Building Power Flow

Trace electrical service from the utility transformer through the service entrance, switchboard and panel down to a building load.

⚙️
Motor Torque-Speed Curve

Sweep or hold operating points on an induction motor's torque-speed curve with a dynamometer test bench, rotor-resistance effects and a built-in verification bench.

⚙️
Three-Phase Induction Motor

Explore a 3D cutaway squirrel-cage induction motor, run locked-rotor and loaded-start experiments, and study slip, torque and the rotating air-gap field.

⚙️
Motor Overload Protection

Trip a thermal overload relay on a locked rotor, watch thermal memory accumulate and cool, and test reset-block behavior against a teaching trip curve.

⚙️
Motor Reversing

Swap phases on an interlocked forward/reverse motor starter and compare a controlled coast-then-reverse sequence against high-slip plugging.

⚙️
Motor Slip

Hold rotor speed with an ideal dynamometer to compare motoring, zero-slip, induction-generating and plugging regimes on the same slip equation.

⚙️
Soft Starter Operation

Ramp voltage and limit current on a thyristor soft starter, watch the bypass contactor engage, and run guided starting experiments with a built-in verification bench.

⚙️
Star-Delta Motor Starting

Sequence K1, KY and KΔ contactors through an open-transition star-delta start and compare reduced starting current against reduced starting torque.

⚙️
Motor Starting Current

Compare direct-on-line starts, reduced voltage, high inertia and a locked rotor using the evolving fundamental RMS starting-current envelope.

⚙️
Synchronous Motor

Adjust load and DC field excitation on a synchronized wound-field synchronous motor and observe the torque-angle characteristic through loss of synchronism.

⚙️
VFD Motor Control

Trace the rectifier, DC link and inverter of a variable-frequency drive as a V/f scalar control law accelerates an induction motor through field weakening.

⚙️
Motor Starter Control

Trace a start command through PLC ladder logic, contactors and overload relay to a turning shaft, then inject and diagnose real wiring faults.

🖥️
A/B Redundant Power

Fail Path A, Path B, or a shared dependency and watch load sharing, takeover and capacity margin respond.

🖥️
Hot/Cold Aisle Containment

Adjust containment effectiveness and recirculation and watch server-inlet temperature respond.

🖥️
CRAH Cooling

Adjust air flow, chilled-water flow and coil capacity and trace leaving-air and inlet temperature.

🖥️
Generator Backup Sequence

Step through a utility failure, generator start delay, cranking and stabilization while a UPS battery bridges the gap.

🖥️
Data Center Power Path

Trace power from utility through the ATS, generator and UPS battery to the rack during an outage.

🖥️
Rack Power Distribution

Load a three-phase rack PDU, shift imbalance onto one phase, and watch branch current, neutral current and thermal trips respond.

🖥️
Redundancy and Failure

Compare N+1 parallel capacity with independent A/B paths and see when a shared dependency defeats redundancy.

🖥️
Static Transfer Switch

Fail source A/B thyristor banks, mismatch phase, and see how transfer timing and load hold-up interact.

🖥️
UPS Operation

Drop utility, fail the rectifier or inverter, and track battery SOC and conversion losses in an online UPS.

🖥️
Chilled Water Loop

Fail the pump or chiller and watch server inlet, coil and water temperatures respond in a closed chilled-water loop.

🌡️ HVAC→7 simulators
🌡️
Evaporator & Condenser

Compare two fin-and-tube coils, adjust airflow/fouling/frost and read the condenser's heat-balance deficit.

🌡️
Compressor Operation

Watch a reciprocating compressor's piston/reed valves and read the ideal P–V indicator cycle.

🌡️
Duct Static Pressure

Balance a variable-speed fan curve against a filter and three damped duct branches.

🌡️
Economizer Operation

Compare dry-bulb vs. enthalpy economizer control while mixing outdoor and return air.

🌡️
Cooling Tower Operation

Inspect a counterflow induced-draft cooling tower — spray distribution, fill, fan, drift eliminators, basin, makeup and blowdown — and see how fan speed, fouling and wet bulb shift range, approach and water balance.

🌡️
VAV Box Operation

Trace airflow pickup, damper, actuator, reheat coil and thermostat in a pressure-independent VAV terminal, with automatic PI control, manual override and a stuck-actuator fault.

🌡️
Chilled-Water System

Operate a chiller, centrifugal pump, throttling valve and building coil in a closed chilled-water loop, and test what happens when the pump or chiller fails.

🔥
Elevator Recall

Trigger a fire alarm recall at the designated or an alternate landing and watch a single elevator car, controller and recall relays sequence Phase I recall.

🔥
Heat Detector Operation

Heat a thermistor sensing element and compare fixed-temperature against filtered rate-of-rise alarm decisions.

🔥
Initiating Device → FACP

Follow an addressed detector's event through a supervised SLC, panel processing and alarm memory to a notification command.

🔥
Control Module Operation

Command an addressable relay to release a magnetic fire-door holder and verify the physical door response with independent position feedback.

🔥
Notification Appliance Circuit

Wire a 3-appliance radial NAC, inject open/short faults and read live voltage drop and end-of-line supervision.

🔥
Addressable SLC Communication

Poll 6 addressed devices on a return-loop or radial SLC and see which survive an open, short or duplicate address.

🔥
Smoke Detector Operation

Watch an off-axis photoelectric chamber fill with smoke and qualify a signal into a latched alarm.

🔥
Smoke Control Interface

Command a motorized exhaust damper and fan starter with open/airflow proof, jam faults, and check the model against a built-in verification suite.

🔥
Sprinkler Waterflow Detection

Deflect a vane switch with riser flow, tune retard time and threshold, reject transients, and latch a panel alarm.

📡 Networking→8 simulators
📡
Network Failover

Dual-WAN edge router simulator — path monitoring, failure detection delay, route installation and preemptive restoration control outage duration.

📡
Fiber-Optic Communication

Optical link-budget simulator — launch power, fiber attenuation, connector/splice loss and bend loss determine received power and receiver margin.

📡
Firewall Operation

Stateful firewall appliance simulator — ordered rule evaluation, TCP handshake tracking and idle timeout decide whether traffic is allowed.

📡
MAC Address Learning

Four-port Ethernet switch simulator — source learning, unknown-unicast flooding, broadcast forwarding and dynamic-entry aging.

📡
OT Network Segmentation

Trace enterprise, industrial DMZ and OT zone traffic across a firewall, jump host and PLC.

📡
Spanning Tree Protocol

Elect a root bridge and watch port roles reorganize to remove a Layer 2 forwarding loop.

📡
VLAN Segmentation

Trace 802.1Q trunk tagging, VLAN pruning and native VLAN mismatches across two switches.

📡
Wi-Fi Communication

Model an 802.11 access point and client through association, SNR and shared-airtime throughput.

🎛️
Digital Input/Output

Trace a 24 V PNP field switch through input qualification, a PLC read/execute/write scan cycle and an output module to a solenoid-driven cylinder.

🎛️
Interlocks & Permissives

Evaluate start permits on a guarded mixer, latch a first-out running trip, and practice restore-reset-restart sequencing.

🎛️
4-20 mA Current Loop

Trace a two-wire pressure transmitter through cable and shunt resistance, an ADC and PLC scaling, and diagnose compliance limits and span mismatches.

🎛️
Tank Level Control

Tune a PI level loop around a transparent tank with a modulating inlet valve, hydrostatic transmitter and gravity outlet.

🎛️
Alarm & Trip Sequence

Heat a process vessel and follow a qualified high alarm, a separately qualified high-high trip, and acknowledge/reset/rearm sequencing.

🎛️
VFD Motor Control (PLC)

Ramp a slew-limited frequency command and watch synchronous speed, slip and the base-frequency torque envelope respond, with a drive-fault coast-down.

🔬
Diode Operation

Bias a PN junction diode, sweep temperature and resistance, and read the real operating point off a live I–V curve and load line.

🔬
Ohm's Law Interactive

Wire two resistors series or parallel on a current-limited bench supply and watch branch currents, drops and resistor heating live.

🔬
RC Charge & Discharge

Charge and discharge a capacitor through a series resistor, add parallel leakage, and watch exact first-order voltage and energy curves.

🔬
RL Inductor Behavior

Energize a wound gapped-core inductor and compare flyback clamp voltages against decay speed and switch stress.

🔬
Transistor Amplification

Common-emitter amplifier with a loaded bias divider, emitter degeneration and switchable AC bypass — compare input and inverted collector output.

🔬
Bridge Rectifier

Four discrete diodes rectify an isolated AC source — inject open-diode faults and compare full-wave vs. failed half-wave output.

🔬
Filtering & DC Power Supply

Linear supply chassis with transformer, bridge, reservoir capacitor and load bank — measure real ripple instead of assuming perfect DC.

🔬
PCB Signal Journey

Two-layer sensor board from power connector and RC filtering through sample-and-hold conversion, serial transfer and PWM LED output.

🔬
Transistor as a Switch

NPN low-side LED driver — trace base drive through cutoff, forward-active and saturation regions, with PWM and fault injection.

📊
Differential Pressure Flow Measurement

Orifice-plate DP flow meter with impulse tubing, a three-valve manifold, and square-root extraction split across transmitter and receiver.

📊
Level Measurement

Fill and drain a vessel while comparing a hydrostatic DP transmitter (dry/wet leg) against roof-mounted radar time-of-flight sensing.

📊
Pressure Transmitter

Calibration bench with hand pump, isolation/vent manifold, diaphragm transmitter and a powered 4–20 mA receiver — trace the full loop voltage budget.

📊
Temperature Measurement

Pt100 RTD vs. thermocouple sensing in a stirred bath — compare 2/3/4-wire lead compensation, cold-junction compensation and sensor faults.

📊
Pneumatic Actuator

Explore a double-acting piston cylinder — directional spool, cap/rod chambers, load spring, friction and end stops.

📊
Cascade Control

Compare cascade, single-loop and manual architectures on a heated vessel with a master temperature and slave flow PI loop.

📊
Emergency Shutdown System

Trace voted pressure sensors through a latched shutdown decision, solenoid, pump stop and a spring-return isolation valve with closure proof.

📊
Fail-Open vs. Fail-Closed Valve

Compare a fail-closed and fail-open spring-return valve on the same demand, then lose air, power, or jam a stem.

📊
Control Valve Operation

Inspect a globe valve cutaway and compare linear vs. equal-percentage trim against the installed flow characteristic.

💧
Centrifugal Pump Operation

Cutaway 3D pump simulator — prime the casing, energize the motor and watch flow, head and power settle to the operating point.

💧
Pump Curve vs. System Curve

Find where the pump curve meets the system curve and move the real operating point live.

💧
Pump Head

Separate pressure, velocity and elevation contributions in a two-station head measurement bench.

💧
Pump Suction & Discharge

Read gauge vs. absolute pressure on both sides of a pump and track the margin above vapor pressure.

💧
Pump Cavitation

Watch vapor bubbles form at the impeller eye and collapse as pressure recovers.

💧
NPSH

Build the NPSH-available balance term by term and compare it against a pump's NPSH3 curve.

💧
Pumps in Parallel

Run a twin-pump station and see branch flows add at a shared header head.

💧
Pumps in Series

Pass one flow through a two-stage booster train and add the stage head rises.

💧
Water Hammer

Close a valve and follow the pressure wave and its reflections through a reservoir–pipeline–valve system with a distributed elastic-wave calculation.

💧
Control Valve & Pump Interaction

Compare a throttled pump/valve duty against a same-flow, speed-reduced reference case to see the modeled energy cost of throttling.

🌊
Bernoulli's Principle

Follow a fluid parcel through pressure, velocity and elevation head changes on an instrumented three-station energy bench.

🌊
Venturi Effect

Accelerate flow through a metered throat, recover pressure downstream, and diagnose a differential-pressure flow meter.

🌊
Laminar vs. Turbulent Flow

Trace an injected dye thread to compare orderly laminar flow, the transition band, and turbulent mixing.

🌊
Reynolds Number

Compare inertial and viscous stress scales on a test-loop rig, choosing whether velocity or volume flow stays fixed.

🌊
Pipe Friction Loss

Change flow, bore, length, wall roughness and viscosity and watch the pressure gradient, Darcy friction factor and dissipated hydraulic power respond.

🌊
Minor Losses

Throttle a valve, foul a strainer and adjust elbow coefficients to see how local fitting losses add to distributed pipe friction.

🌊
Open-Channel Flow

Adjust discharge, channel geometry, bed slope and roughness, and solve for normal depth against critical depth and Froude number.

🌊
Orifice Flow

Compare a maintained-head discharge with an unfed draining tank, adjusting head, orifice diameter and discharge coefficient.

🌊
Continuity Equation

Adjust inlet flow, bore sizes, flow split and leak fraction, and introduce a deliberate meter bias to separate mass balance from indicated readings.

🌊
Hydrostatic Pressure

Adjust liquid depth, density, headspace pressure and probe position, and separate gauge from absolute pressure.

⚙️
Crankshaft & Piston

Rotate a slider-crank mechanism and compare exact piston displacement, velocity, acceleration and torque against rod-ratio and speed changes.

⚙️
Planetary Gear System

Hold the sun, ring or carrier stationary on an epicyclic gearset and see how the Willis relation sets the resulting speed and torque ratios.

⚙️
Bearing Operation

Inspect a radial ball bearing under load and speed changes and read cage speed, ball-pass frequencies and L10 rating life.

⚙️
Belt & Pulley Drive

Set pulley diameters, slip and tension on an open flat-belt drive and audit the result against the capstan traction limit.

⚙️
Hydraulic Cylinder

Cutaway tie-rod hydraulic cylinder — pressure/flow lab with directional valve and relief branch.

⚙️
Pneumatic Cylinder

Cutaway air cylinder lab — receiver, filter-regulator, 5/3 valve and compressible-flow model.

⚙️
Chain & Sprocket Drive

Guarded chain-drive bench — tooth ratio, pitch/chain-length selection, chordal action and a wear-inspection gauge.

⚙️
Flywheel Energy Storage

Charge/coast/discharge flywheel bench — motor-generator, energy audit ledger and a mechanical brake.

⚙️
V8 Four-Stroke Engine

Full 3D V8 cutaway — cross-plane crankshaft, valvetrain, firing order 1-8-4-3-6-5-7-2, cutaway/solid/single/explode modes and a live P-V indicator diagram.

🏗️
Shear & Bending Moment

Move a section through a pin-and-roller beam test frame and trace applied loads into support reactions, shear jumps, bending moments and elastic deflection.

🏗️
Column Buckling

Load a slender compression specimen and compare elastic critical Euler load against imperfection amplification as end restraints and length change.

🏗️
Cantilever Behavior

Inspect a wall-mounted cantilever, compare an ideal clamp with a rotational-spring root, and trace shear, hogging moment and tip deflection.

🏗️
Truss Load Path

Load a five-joint Warren-style truss, solve the stiffness model, and trace tension/compression through all seven members and both bearings.

🏗️
Simply Supported vs. Fixed Beam

Compare two identical beam benches under the same loads, differing only in end restraint, and watch hogging moments and deflection change.

🏗️
Foundation Load Transfer

Follow vertical load and overturning moment through a column, spread footing and compression-only soil interface with a Winkler spring-bed model.

6 simulators

AI & Computing

How modern AI models, agents and infrastructure work.

15 simulators

Science & Mathematics

Physics, chemistry, biology and the math beneath them.

📐
Derivative as Slope

Compare a secant through two points with the instantaneous tangent slope, and see exactly where the limit does — and doesn't — exist.

📐
Integral as Accumulation

Build a signed total from rectangles or trapezoids and compare each approximation with the exact accumulated value.

📐
Sine, Cosine & Unit Circle

Track a rotating radius and its projections to see how one rotation produces two connected sine and cosine waves.

📐
Matrices & Transformations

Transform a wireframe cube with scale, shear and rotation, and see how operation order changes signed volume and orientation.

📐
Momentum & Collisions

Send two carts along a frictionless track and compare elastic and inelastic impacts through momentum and energy loss.

📐
Simple Harmonic Motion

Release a spring-mass oscillator and compare ideal, underdamped, critically damped and overdamped return.

📐
Pendulum Motion

Compare a nonlinear pendulum's measured period against the small-angle approximation while tracking energy exchange.

📐
Projectile Motion

Launch a projectile and resolve horizontal and vertical motion independently under constant gravity.

📐
Vector Addition

Build a head-to-tail chain and its parallelogram to add or subtract two free vectors in 3D.

📐
3D Coordinate System

Move a local origin and its coordinate planes around a fixed point to explore octants and projections.

📐
Functions & Surfaces

Scan waves, saddle, bell and cone surfaces with perpendicular slicing planes to read cross-sections.

📐
Gradient

Probe a scalar field, test directional slopes and follow a gradient-ascent trail across four terrains.

📐
Vectors in 3D

Dial in x/y/z components and watch the component staircase, projection, rotation and normalization.

📐
Fourier Series

Build square, sawtooth and custom waveforms from harmonics and study convergence, Gibbs ringing and aliasing.

📐
Quadric Surfaces & Transformations

Morph continuously between sphere, cylinder, cone and hyperboloids by editing the defining equation.

1 simulator

Business & Finance

Accounting, finance, economics and how businesses run.

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