As I studied the geometry of bird songs through attractors and time-delay embeddings, I kept wondering — what would these shapes feel like in 3D? Could I hold one? See it evolve in space?
So I started experimenting beyond the screen.
My first attempt was simple. I bought some bendable wires and tried to physically shape the attractors I saw on the screen. It wasn’t precise, but it helped me imagine them in space — loops, spirals, folds. That process helped me understand how time flows through the attractor's geometry.
Later, with the help of a colleague, Dennis, I figured out how to turn the attractor into a 3D model using Python — plotting time on the vertical axis and the signal on the horizontal plane.
I bought a 3D printer and began printing my first models.
There’s something amazing about holding a bird’s song — a mathematical structure — in your hand.
Now I can take a real bird call, reconstruct its attractor, and print it as a sculpture.
As a final touch, I added a small button-based audio board that plays different bird sounds when pressed. It’s a fun way to connect the abstract 3D shapes back to their real-world origins — bird calls.
Next, I bought a 3D POV (persistence-of-vision) hologram projector. It lets me play attractor animations in mid-air — spinning, evolving, glowing.
It’s surreal to see the dynamics of a bird song come to life in 3D, animated over time.