Collatz Box Universes

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Explore and visualize generalized Collatz sequences to discover hidden patterns, foster intuition, and gain new perspectives on dynamical systems. It's a journey of visual discovery beyond traditional analysis, where rules are defined by **X, Y, and Z coordinates**.

Rule: If $n \pmod{X} = 0$, then $n \to n / X$. Otherwise, $n \to n \cdot Y + Z$.

(Standard Collatz uses X=2, Y=3, Z=1)

Single Sequence Calculation:

Select Visualization Tool: