Melinda Green discovered 'by accident' that the Anti-Buddhabrot paradigm fully integrates the logistic map. Both are based on tracing paths from non-escaping points, iterated from a (random) starting point, and the iteration functions are related by the transformation given above. It is then easy to see that the Anti-Buddhabrot for formula_20, plotting paths with formula_26 and formula_27, simply generates the logistic map in the plane formula_28, when using the given transformation. For rendering purposes we use formula_29. In the logistic map, all formula_30 ultimately generate the same path.