Scene

Numeric trajectory

The Collatz sequence of the starting number becomes the arena's rhythm: each step is a beat, short on even and long on odd, and the collisions follow the parity.

Open Numeric trajectory in the editor
Climax frame of the Numeric trajectory scene, drawn by the engine
Frame drawn by the real engine at the moment of highest event density of the best seed in the sample.

Parameters

The same controls as the editor, with the same range. The default is what the example page uses.

ParameterRangeDefault
Starting number1 – 99,99927
Gravity0 – 4012
Bounciness0 – 10.96
Arena radius1 – 204

How it usually ends

Measured by the engine with the default configuration over a fixed sample of seeds. No number here is an estimate.

Seeds in the sample
40
Escapes
100%
Settles
0%
Times out
0%
Collisions (median)
9.5
Duration (median)
7.1 s
Climax (median position)
21%
The fraction of the video where event density peaks. Close to 100% means the best moment is at the end.

Seeds that end well

The five best in the sample by the same heuristic the editor's search uses. Each link opens exactly this variation.

  1. seed2002196score 74 out of 10057 collisions17.3 sescapeOpen seed 2002196 in the editor
  2. seed2211654score 73 out of 10061 collisions18.8 sescapeOpen seed 2211654 in the editor
  3. seed850177score 57 out of 10031 collisions15.8 sescapeOpen seed 850177 in the editor
  4. seed1478551score 49 out of 1008 collisions4 sescapeOpen seed 1478551 in the editor
  5. seed3049486score 46 out of 10016 collisions10 sescapeOpen seed 3049486 in the editor

Frequently asked questions

How do I make a Numeric trajectory video?

Open the scene in the editor, adjust the parameters, try a few seeds and export to MP4. Rendering happens in your browser and costs nothing.

Why does the same seed always give the same video?

The simulation is deterministic: fixed-step physics and seeded random numbers. The same seed with the same parameters reproduces the same video on any machine.

How long is a Numeric trajectory video?

The video ends when the scene ends. The median duration measured in the sample is in the outcomes section, and the seed search shows each candidate's duration before rendering.

Can I use the video on TikTok, YouTube and Instagram?

Yes. The export is a vertical video with audio, ready for Shorts, Reels and TikTok. On the free plan it carries a discreet watermark.

How do I pick a seed that ends well?

Use the editor's seed search: it simulates dozens of variations without drawing and ranks the ones with a late climax. The seeds on this page came from the same heuristic.

Make your own variation

Open the scene in the editor with one of the seeds above, or let the search find another.

Open Numeric trajectory in the editor