Surface Plotter

Splashery stretches a drumhead over this Splash's outline, twelve inches across, and finds the ways it can ring. Its lowest is 334.1 Hz, 23 cents sharp of E4. The next fifteen are its overtones, and each one draws its own figure: sand gathers on the lines that stay still.

Tap to raise the surface. Pick one, or type your own, in the Splash tab.

A surface plot is a graph in 3D. For each point on a flat floor, with its x and y, the equation gives a height z, so the graph becomes a landscape of hills, valleys and saddles. Colors show how high each part is.

Tap it and the surface lies flat, then rises out of the sheet and ripples, twists or breathes as a number called a changes. Pick one of 16 famous surfaces in the Splash tab, such as the sombrero, the saddle or Rosenbrock's banana valley, which is used to test computer methods that hunt for the lowest point. Or type your own: z = … with x and y, or with r and θ.

Made in Splashery. Its code is MIT.

This link opens it in the Playground. To put it on your own page, add the element and one script tag. Every option.