You are looking through a slice of every possible beginning of the three-body problem. Each point is a complete starting configuration (three masses, their positions and velocities), followed forward until its fate is known. The colour records that fate.
The slice is a flat plane through an eight-dimensional space of starting conditions. It can be moved, rotated and tilted to look along any direction. Where two fates meet, the boundary is not a line: zoom in and it opens into finer structure without end.
Principia is the instrument that makes these pictures, and measures what they show. Where it can't trust a result, it says so, rather than colouring a guess.
| Atlas | Browse the space of beginnings on the GPU, natively, or in the browser as the same app. Pan, zoom without end, and rotate or tilt the slice in any direction. |
| Charts | Flat slices, the shape sphere, Burrau's problem, or a chart built from any axes you choose. |
| Fate | Every point integrated forward, regularised through close encounters, until a body escapes, two collide, or time runs out. |
| Refinement | Samples go where fates change, and stay coarse where they don't. |
| Stain | A graph from what was measured to how it looks, printed in watercolour, pencil or ink. The data doesn't change, only the ink. |
| Inspector | Follow one beginning closely, at double precision, and watch its orbit. |
| Honesty | It shows where its precision runs out: open any point to watch its single- and double-precision orbits part, and when. Failed runs are kept and counted, never painted over. |
| Prints | Every image carries its own settings, so any view can be recreated from the picture alone. |
| Results | Browsing buys hypotheses; the batch job, run at full precision, buys results. |
Under construction. The foundations are laid, and the interface already runs against a stand-in engine.








