The Antlion's Pit in a Morning Glory: Visualizing the Structural Gravity of the 2-adic Collatz Tower

"Viewed from the outside, it is a Morning Glory; inside, it is an Antlion's Pit." This archive provides a specialized Python implementation and visualization framework for the Collatz Conjecture (3x + 1), developed by Hiroshi Harada. Unlike traditional linear plots, this tool maps numerical trajectories onto a semi-circular polar coordinate space using a Binary Logarithmic (log2) scale. By centering the visualization on the "2^n Collatz Tower Axis," the system reveals the deterministic "structural gravity" that governs numerical convergence. Key Conceptual Framework: - The Morning Glory Effect: The elegant, exponentially expanding curves observed in the external mapping of the conjecture. - The Antlion's Pit (Structural Gravity): A ruthless internal structure where every power of 2 acts as a vertical gravity well, dragging numbers toward the center (1). - Structural Inequality: A visual demonstration of how the "leaps" of 3x+1 are consistently overwhelmed by the "falls" of the 2-adic backbone.