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Exploring Collatz's Ant and Σ(n) in Landscape Development

By

Fibra

10mo ago· 1 min readenInsight

Summary

The article discusses Collatz's Ant and the score function Σ(n) in relation to landscape development for n=500. It explores the number of marked states left by the ant on the landscape and the normalization by the stopping time characteristic of the Collatz function dynamics.

Key quotes

· 2 pulled
Consider the corresponding ant’s landscape development for $n = 500$
With the prior example, we would have Σ(500) = 54
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Relevant preceding posts here and here.

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