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Explorable Explanations

Explore concepts through interactive visualizations

Counter Cutting Puzzle

Cut a 6×6 grid into four congruent pieces, each holding one black and one white counter

Triangle Net to Tetrahedron

Cut a textured equilateral-triangle net and fold its four faces into a tetrahedron

Build the Cuboid

Drag the colorful 3D blocks together and rebuild the target cuboid

Bookshelf Transfer

Move books between two shelves to create an exact integer multiple

Dice

Roll realistic 3D dice and watch them collide naturally

Sharing Sausages

Cut one sausage at a time, share equally, and use as few cuts as possible

Fold and Cut Paper 3D

Fold a square three times, make one cut, and predict the unfolded pattern

Fold and Cut Paper

Fold a square three times, cut a notch, and predict the unfolded pattern

Cola Can Exchange

Follow each empty-can exchange to find the maximum number of colas

Gift Boxes

Use two packing outcomes to uncover the unknown box and chocolate counts

Empty Water Tank Weight

Compare water volume and total weight to isolate the tank's weight

Ant on a Cube

Find the longest edge route without retracing an edge

Weekday After N Days

Follow the seven-day cycle to see where N days lands

Arithmetic Sequences

Discover constant differences and the pairing method for sums

Newton's Laws of Motion

Use a rocket in space to explore inertia, F=ma, and action-reaction

Exponential Growth 3D

3D visualization of virus spread through network

Meaning of Division

See division: splitting a whole into equal groups

Pi

Interactive explanation of π (pi)

Monte Carlo π

Estimating π through random sampling

3D Dev Environment

Three.js 3D visualization playground

3D Rubik's Cube

Visualize scrambling and solving a Rubik's Cube

N-Body Problem

N-body gravitational simulation — star interactions and collision mergers

Brain Cloud

Particle-based visualization of brain region activity during thinking processes

Chain Reaction Simulation 2D

Visualizing U-235 nuclear fission chain reaction

Chain Reaction Simulation 3D

3D visualization of U-235 fission chain reaction

Buffon's Needle

Estimating π through random needle drops

Prime Factorization

Learn prime factorization visually

Understanding Fractions

Visualize the meaning of fraction n/m

Comparing Fractions

Visually compare two fractions

Subtracting Fractions

Visually demonstrate fraction subtraction

Least Common Multiple

Understand LCM through prime factorization

Exponential Growth

Visualizing virus spread through network

Polar Coordinates

Convert between Cartesian and polar coordinates

Substitution Method

Solving equations with visual algebra

Long Addition

Learn column addition visually

Long Subtraction

Learn column subtraction visually

Long Multiplication

Learn long multiplication visually

Meaning of Multiplication

See multiplication: repeated addition compressed

DNA Double Helix

Visualizing the code of life

Long Division

Learn long division visually