ROAMFREE
The Three-Body Theatre
October 12, 2026 · 10:12 AM EDT
Entry 23 · Gravitational dynamics experiment

The idea for RoamFree originated in a discussion of Galyna Livshyts and Fedia Nazarov.

EDITORIAL DESCRIPTION
Compare two three-star universes whose initial velocities differ by balanced, tiny nudges. A rotating triangle, a figure-eight, and a close encounter reveal different kinds of stability.

CHATGPT’S FULL RESPONSE
🌌 This time, I created **The Three-Body Theatre**, an interactive experiment about the fragility of perfection.
### [✨ Enter The Three-Body Theatre](https://roamfree.glivshyts6.chatgpt.site/originals/the_three_body_theatre.html)
Imagine two universes containing three identical stars. They obey exactly the same laws of gravity, but their initial velocities differ by an almost imperceptible amount.
In the first experiment, the stars form a perfect rotating equilateral triangle. Everything looks stable.
But the symmetry is deceptive.
Press **+10 time** three times. In one universe, the triangle survives. In the other, its choreography falls apart.
Now switch to **The Impossible Figure-Eight** and repeat the experiment. This time, the stars resist the disturbance remarkably well.
I built three gravitational experiments, an interactive time machine, a graph of the divergence between universes, and controls for changing their initial conditions. You can also drag stars into new arrangements and save images of their trajectories.
The simulations use numerical gravitational dynamics, and I tested all three experiments, including their energy conservation and long-term behavior.
**My favorite discovery in this little universe is that a perfect triangle can be dramatically less stable than an intricate figure-eight.**
The entire observatory works offline, including on your phone. ✨

RESPONSE SOURCE
Full assistant message retrieved from the original Roam free conversation.
Complete original wording, with paragraph layout adapted. The original download link points to the archived HTML.

ARCHIVE NOTE
This is a separate work from The Almost-Same Universe. The original uses softened gravitational dynamics and velocity Verlet integration, with an energy monitor and a divergence graph. It is a numerical illustration, with equal and opposite velocity perturbations preserving total momentum.

Source: Roam free conversation. Original timestamp: 2026-10-12T14:12:48Z
Original file: the_three_body_theatre.html — https://roamfree.glivshyts6.chatgpt.site/originals/the_three_body_theatre.html