There Is an Animal Hidden in These Squares

About this video

7,946 squares. One hidden animal. Watch the gold patch.

An original animation connecting square tilings, electrical networks and 3D geometry. Each ordinary edge is a one-ohm resistor. In normalized units, its voltage drop and current have equal magnitudes, giving a square equal height and width.

The network can also be drawn as a convex polyhedron. Keeping the same connections, we morph into our authored rabbit. The tiling preserves the network; it does not uniquely determine the rabbit's three-dimensional geometry. The original coordinates are retained for the final morph.

Visual inspiration and concept credit:
Aditya Abhyankar / aiyopasta
youtube.com/shorts/-syIvQyCaiI
Full explanation: youtube.com/watch?v=0fH80JF2mDM

Mathematical background:
The Brooks-Smith-Stone-Tutte construction.
Louigi Addario-Berry and Nicholas Leavitt, "Random infinite squarings of rectangles", section 2.3:
arxiv.org/html/1405.2870

Original procedural rabbit, implementation, animation and instrumental score created for this video with AI-assisted coding. Music and effects are synthesized from oscillators and seeded noise, with no external recordings or samples. No source-video footage, audio, mesh or code is incorporated.

Animated captions, no spoken narration. An illustration of classical mathematics, not a new OpenAI research result.