Art & Design
The math behind shape, proportion, and design
3 live exhibits. Each one already works. Change a number and see what happens.
Open as board Play with these together. Solving one grows related exhibits.
Exponents & LogarithmsBrightness vs. distance: the inverse-square law
Move a light twice as far and it gives a quarter of the light. Photographers call that two stops.
![The edit rotates 90°, mirrors, stretches ×0.7 sideways and ×1 up and down, slants by -0.3. As a matrix that's [0, -1; -0.7, -0.3]. Its determinant is -0.7, so areas are multiplied by 0.7 and the picture is flipped.](/snapshots/MTX-0001/1.svg)
MatricesPhoto edits are matrices: rotate, flip, stretch, and slant
Every rotate, mirror, and stretch in a photo app is four numbers. Multiply each point by them and the picture moves.
Calculus (intro)The biggest box from a sheet of cardboard: optimization
Cut a square from each corner and fold up the sides. Too small a cut makes a flat tray, too big a skinny tower. The derivative finds the best cut.