Collatz's Ant and Σ(n)
Collatz's Ant and Σ(n) Relevant preceding posts here and here. Consider the corresponding ant’s landscape development for $n = 500$: with the last frame being: Let’s also consider a score function $\Sigma(n)$ which returns the number of 1’s (or marked states) left by the ant on the corresponding landscape (regarding the last frame). With the prior example, we would have $\Sigma(500) = 54$. We might also want to normalize this by the corresponding stopping time $\tau_{n}$ characteristic of th