Logistic 0.9, 0.99 1.5, 1.5 2.4, 2.9 3.1, 3.5 3.55, 3.57 3.6, 3.7 3.8, 3.825 3.826, 3.827 3.828, 3.829 3.846, 3.999

s = 3.1. The 2-cycle is stable. Note the alternating pattern of black and brown boxes. s = 3.5. What do you see? Often the first answer is a 3-cycle, because there are three colors: green, brown, and black. However, it is not the number of colors, so much as the order of colors that is important. Note the pattern: green, brown, black, brown, then repeat. The repeating pattern is of length four, and indeed the s = 3.5 logistic map has a 4-cycle.