3D Geometry Explorer
Rotate and resize 3D shapes and watch their surface area and volume update.
~12 min
10 topics · 10 live
Mathematics and Scientific Modeling
Rotate 3D shapes, add vectors, transform graphs, run probability experiments and read scientific data, then explore calculus, matrix transformations, fractals, differential equations and optimization.
Topics in Mathematics and Scientific Modeling
Vector Addition
Drag vectors to change their size and direction and see the resultant form.
~12 min
Graphing Functions
Change parameters in an equation and watch the graph shift, stretch and flip.
~15 min
Probability and Random Experiments
Flip coins and roll dice thousands of times and watch distributions take shape.
~12 min
Scientific Data Visualization
Change variables in a dataset and learn how charts can reveal — or hide — patterns.
~12 min
Calculus Explorer: Limits, Derivatives and Integrals
Approach limits from both sides, drag tangent and secant lines, fill areas with Riemann sums and see how derivatives and integrals undo each other.
~25 min
Matrix Transformations and Linear Algebra
Multiply and invert matrices step by step, transform shapes in 2D and 3D, see determinants as area and find the vectors a matrix only stretches.
~25 min
Fractals and Recursive Patterns
Zoom into the Mandelbrot set, morph Julia sets, build the Sierpinski triangle and Koch snowflake, and grow a fern from four simple rules.
~20 min
Differential Equations and Dynamic Systems
Run exponential growth, cooling, a damped spring and logistic growth, explore phase planes, and see how step size makes Euler’s method succeed or fail.
~25 min
Optimization and Constraint Modeling
Drag constraints to build a linear program, find the best corner, test binding constraints and shadow prices, design a fence, box and can with calculus, and plan production.
~25 min