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π Mathematics Lab

Mathematics Lab

Graph functions, build 3D geometry, explore algebra and probability through interactive simulations, and dive into the infinite beauty of fractals.

📈 Start Graphing ❄ Explore Fractals
📈 Graphing Calculator

Plot, Explore, Discover

Plot functions, explore slopes, find intersections. Powered by GeoGebra.

📈
GeoGebra Graphing Calculator
Plot functions, explore slopes, find intersections
▶ Launch Calculator
Interactive — loads from geogebra.org

3D Geometry

Build Shapes in Three Dimensions

Create 3D shapes, rotate them, explore cross-sections. Powered by GeoGebra 3D.

GeoGebra 3D Calculator
Create 3D shapes, rotate, explore cross-sections
▶ Launch 3D
Interactive — loads from geogebra.org

𝑥 Algebra & Equations

Visualize Algebra

Interactive PhET simulations for graphing lines, equality, and area models.

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Graphing Lines
▶ Load Sim

Graphing Lines

Explore slope-intercept form. Drag points to change slope and y-intercept in real time.

Equality Explorer
▶ Load Sim

Equality Explorer

Balance equations with a visual scale. Understand what "equals" really means.

Area Model Algebra
▶ Load Sim

Area Model Algebra

Multiply polynomials using area models. See how algebra connects to geometry.


🎲 Probability & Statistics

Chance, Data, Patterns

Watch probability unfold in real time. Explore distributions and variability.

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Plinko Probability
▶ Load Sim

Plinko Probability

Drop balls through a Galton board and watch the normal distribution emerge from chaos.

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Center & Variability
▶ Load Sim

Center and Variability

Explore mean, median, and variability. Kick soccer balls and analyze the data spread.


Fractals & Patterns

Infinite Beauty in Mathematics

Self-similar patterns that repeat at every scale. Zoom in forever.

Mandelbrot Set

The most famous fractal. Defined by z = z² + c, it reveals infinite complexity from a simple equation.

Koch Snowflake

Start with a triangle, add smaller triangles to every edge. Infinite perimeter, finite area.

Sierpinski Triangle

Remove the center of a triangle, then repeat. A shape with zero area but infinite detail.

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Fibonacci Spiral

The golden ratio in nature. From sunflower seeds to galaxies, 1.618... is everywhere.

Mandelbrot Explorer

Click and zoom to explore infinite fractal detail

Mandelbrot Set Explorer
Click to zoom into infinite fractal complexity
▶ Launch Explorer
Interactive — loads from mandelbrot.ophir.dev
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