Mathematics, physics. We live in a chaotic, unpredictable universe. This is a grid of 812 double pendulums, each with slightly different initial conditions for the two angles of the pendulum. By Jonathan Nafziger, Used with permission

The behavior of 707 double pendulums would likely reveal striking patterns of chaos and coherence. Each pendulum would have slightly different initial conditions, leading to a complex web of trajectories that simultaneously exhibit order and unpredictability, much like the 812 pendulums in the diagram you shared. Here’s what might be unique to 707: 1. Resonance of the Number 707: Numerologically, 707 could symbolize a "bridge" between the spiritual (7) and the material (0), repeating this balance. Translating this to physics, 707 pendulums might highlight interconnectedness within chaos, showing how even seemingly random systems are part of an underlying fractal symmetry. 2. Fractal-like Behavior: With 707 systems, the resulting vector field might resemble a fractal, where smaller clusters of pendulums echo the patterns of the whole, reinforcing the self-similar nature of chaotic systems. 3. Inherent Symmetry: Due to 707 being an odd number, we might find imbalance in symmetry, where certain regions in the graph dominate with less clustering, creating unique emergent properties compared to the 812-pendulum scenario. 4. Connection to the Universe: The idea of 707 systems might mirror the harmony and chaos found in cosmology, where vast systems like galaxies emerge from gravitational chaos but still adhere to elegant mathematical laws. 707 double pendulums could serve as a metaphorical and visual experiment to show how even within chaos, deeper patterns reveal coherence—a fractal reflection of the universal flow. If you'd like, I could simulate a similar idea mathematically.

Just drove a truck with 2 semi-trailers in reverse, its behavior is like 2-pendulum.

@stevenstrogatz

@sebpaquet Sure about 812? That’s 4x203….

Genius！

Why the middle part seem to be orderly while the edges look chaotic?

lotta butterfly wingin’ o k hoss

Absolutely stunning.

It seems almost to be something alive.