diff --git a/fractal_project/README.md b/fractal_project/README.md index aae1daf0c9bb91705b2b3144d869674e09cc9cc5..2e44796c088bb2bf3d1ff7c1f8dc3c16d266d086 100644 --- a/fractal_project/README.md +++ b/fractal_project/README.md @@ -42,6 +42,15 @@ Where: ### 6. Repeat the iteration for a maximum number of iterations +> * For points that do not escape, we keep iterating until: +>> * The point escapes (i.e., $\left\lvert z_{n} \right\rvert > 2$), +>> * Or we reach a **maximum number of iterations** (often set to something like $100$ to avoid infinite loops). + ### 7. Color the point +> * If the point $z$ does not escape after the maximum iterations, we say it **belongs to the Julia set**. You can color these points differently. +> * Points that escape after fewer iterations can be colored based on how quickly they escaped (i.e., number of iterations). + ### 8. Repeat for all points in the complex plane + +> * You repeat the above process for every point $z$ in the complex grid. For each point, you perform the iterations, check for escape, and color it.