When you run the equation x(n+1) = rx(n)(1-x(n)) for 26 rounds at 2, 3, 4, and 15 decimal places, the number of digits you carry through each step determines which long-term behavior emerges. For certain constants, a sequence might settle on one number at 15 decimal places but alternate between two values at just 2. That means changing the rounding level alone can switch the outcome from alternating to steady — not because the math changed, but because the exact digits you kept did.