Interactive Exploration of a Dynamical System from Bret Victor on Vimeo.
A user interface for exploring systems of differential equations. Every variable is shown as a plot; every parameter has a knob that can be adjusted in realtime. This ubiquitous visualization and in-context-manipulation helps the user develop a sense for how the parameters of the system influence its behavior.
Part of the Kill Math project: http://worrydream.com/KillMath
By Bret Victor: http://worrydream.com