The initial image contains colored pixels corresponding only to the vertices of a regular polygon and a randomly chosen starting point on the image called the "trace". On each iteration of the game, a vertex V on the polygon is chosen at random and the trace is moved some distance D toward V. D is determined by the "Jump Factor". A jump factor of 0 entails that the trace is not moved at all toward V. A jump factor of 1 entails that the trace is moved 100% of the distance toward V. Clearly, these two settings produce trivial images. But for certain values of the Jump Factor between 0 and 1, interesting fractal patterns emerge!
Try these pairings of the Vertex Number and the Jump Factor:
| Vertex Number | Jump Factor |
| 4 | ≈ 0.558 |
| 5 | ≈ 0.618 |
| 6 | ≈ 0.667 |
| 7 | ≈ 0.692 |
| 8 | ≈ 0.707 |
| 9 | ≈ 0.742 |
| 10 | ≈ 0.764 |
Discussion of the math behind these pairings and some alternate versions of the game coming soon!