Why Scale Never Changes in Self-Similar Patterns—From Collatz to Chicken vs Zombies
Self-similarity and scale invariance reveal profound patterns that persist across mathematical and real-world systems. At the core lies the idea that while transformations evolve—growing, shrinking, or shifting—the proportional relationships remain constant. This resilience defines scale-invariant structures, where no true change in scale occurs, only the repetition of transformation rules across levels. Understanding Self-Similarity and Invariant […]
