# #8 - The Thomas Attractor

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In the dynamical systems theory, Thomas’ cyclically symmetric attractor is a 3D strange attractor originally proposed by René Thomas. It has a simple form which is cyclically symmetric in the x,y, and z variables and can be viewed as the trajectory of a frictionally dampened particle moving in a 3D lattice of forces. The simple form has made it a popular example.

## The algorithm

thomas-attractor.js

```
const b = 0.19;
const next = (x,y,z) => {
const dx = -b * x + Math.sin(y);
const dy = -b * y + Math.sin(z);
const dz = -b * z + Math.sin(x);
return {dx,dy,dz};
};
```

## References

- Thomas’ cyclically symmetric attractor
- Deterministic chaos seen in terms of feedback circuits: Analysis, synthesis, ‘labyrinth chaos’
- Labyrinth Chaos