Labs / Mathematics

Mathematics

Numbers, shapes, and change you can bend, plot, and play with.

Sieve of Eratosthenes

Cross out multiples and reveal the primes.

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Prime Factorization

Break any number down to its prime building blocks.

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Euclid's Algorithm

Tile a rectangle with squares to find the GCD.

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Modular Arithmetic

Wrap numbers around a clock and watch them cycle.

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Equation Balance

Keep the scale level to solve for x.

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Quadratic Explorer

Bend a parabola with a, h, and k.

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Polynomial Playground

Drag roots and watch the curve reshape.

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Systems of Equations

Slide two lines until they cross.

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Graph Transformer

Shift, stretch, and flip a parent function.

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Composition Machine

Pipe x through two functions in a row.

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Slicing the Cone

Tilt a plane through a cone to carve conics.

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Distance & Locus

Trace every point a fixed distance away.

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Unit Circle Unwrapped

Spin the angle and unroll the sine wave.

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Triangle Solver

Drag the corners and solve every side and angle.

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Fourier Epicycles

Stack spinning circles to draw any wave.

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Slope of a Curve

Shrink a secant line into the tangent.

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Riemann Sums

Fill the area under a curve with rectangles.

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Slope Fields

Drop a point and let the field steer a curve.

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Taylor Series

Add terms until the polynomial hugs the curve.

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Galton Board

Drop balls through pegs into a bell curve.

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Law of Large Numbers

Roll thousands of dice toward the true average.

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Least Squares Fit

Drag a line to minimize the squared errors.

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Monty Hall

Switch or stay, then watch the odds prove it.

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Central Limit Theorem

Average samples until any shape turns normal.

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Matrix Transformations

Warp the grid with a 2x2 matrix.

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Vector Playground

Add arrows and probe their dot product.

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Eigenvectors

Find the arrows a matrix won't rotate.

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Mandelbrot Explorer

Zoom into infinite detail at the set's edge.

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Pascal's Triangle

Build the triangle and count every path.

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Complex Plane

Multiply numbers to rotate and scale arrows.

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Linear Equations

Drag slope and intercept to shape a line and solve it

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Solving Linear Systems

Row-reduce a matrix step by step to solve a system

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