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Putter Shot Dynamics of Shiftless Collatz on a Base 3 Logarithmic Spiral Green: The Interplay Between Ball Speed (3n) and the Grain of the Green (LSB) Approaching Infinite Cups

29 Mar 08:32
@oceans20737 oceans20737
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Putter Shot Dynamics of Shiftless Collatz on a Base 3 Logarithmic Spiral Green: The Interplay Between Ball Speed (3n) and the Grain of the Green (LSB) Approaching Infinite Cups Latest
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Research Report & Python Visualizers: Putter Shot Dynamics of Shiftless Collatz on a Base-3 Logarithmic Spiral Green

This deposit contains a geometric research report and a set of Python visualizers (static and animated) for exploring the Collatz conjecture through the lens of the Shiftless model and base-3 polar coordinates.

By treating the mathematical transformation as a dynamic putter shot on a logarithmic spiral green, the visualizers reveal how the Least Significant Bit (LSB) acts as a physical friction coefficient. This friction bends the trajectory step-by-step until it ultimately falls into a pure power of two.

Contents:

  • Research Document: Geometric analysis of the Shiftless Collatz trajectory.
  • Visualizers: Python scripts with robust handling of massive integers, tqdm progress tracking, and MP4/GIF dual export capabilities.
  • Includes both English and Japanese documentation.
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