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.
Throughout the history of science, diagrams and graphs have been essential thinking tools. In the past, such visualizations were drawn with pen on paper, and could embrace the directness, freedom, and expressiveness of hand drawing. Most modern visualizations are programmed instead, where a single description can dynamically generate a unique picture for any dataset.
Today's tools offer the benefits of one or the other -- either directness or dynamics -- but not both. Photoshop and Illustrator allow direct-manipulation drawing of static pictures. D3, R, and Processing allow indirect-manipulation coding of dynamic pictures.
This talk presents a tool for drawing dynamic pictures -- creating data-driven visualizations, like D3, but via direct manipulation of the picture itself, like Illustrator.
Recorded at the Stanford HCI seminar on February 1, 2013.