Math Art
Dynamics as art
Art from dynamics - second order system
This triptych is made by a pendulum. More specifically, the three images are created from frequency and time representations of a second order dynamic system (think pendulum, mass-spring-damper, etc.) with a linearly varied damping coefficient. The top two panes are generated from bode plot magnitude and phase diagrams, and the bottom pane is generated from the impulse response.
Horizontal pane slice
The heatmap shows the higher and lower portions of each graph. This image shows a slice of the panes horizontally at a given damping coefficient (here at roughly 0.2). Notice the larger values corresponding to deeper blue in the heat map, and lower values matching the deeper red hues.
Horizontal pane slice
I wanted to put the piece on my wall, so I made an oil painting version of it! These are small paintings, I plan on make a larger set with an updated color pallet.
Physical dynamic system
The triptychs look nice, but are a bit abstract to the viewer, especially if they don’t know what a bode plot is. I am working on a paired pendulum that can be tuned via a moveable interface on the art to physically embody the real dynamic system associated with the particular slice of the triptych.
