Algebraic Formulation of the Collatz Operator in Jacobsthal Space: The 3J+J(0,1) Transformation

Reconstruction of the Collatz-type Map (3n+5 Problem) via Jacobsthal Normalized Spinor Representation

Jacobsthal Slide and Shiftless Orbit in Collatz Trajectory

Jacobsthal Spinor Transfer Model from J3 to J2 Space in Collatz Inverse Trees

Collatz Dynamics: Structural Description of the Collatz Inverse Tree via Mersenne-Fermat Factorization and Jacobsthal Sequences

Reconstruction of the Collatz Mapping via Jacobsthal-Normalized Spinor Representation

Generalization of 3n+1 Collatz Orbits via Jacobsthal Sequences: Visualization using Voronoi Tessellation in 2-adic Logarithmic Spiral Space

Geometric Visualization of the 3n+5 Collatz Variant: Voronoi Tessellation and Six Stable Basins of Attraction in Binary Logarithmic Spiral Space

Shiftless & Carryless 3-adic Collatz: Model Extraction of the Ternary Gasket and Emergent Chaos via Redundant Ternary Representation

Shiftless Collatz-3 Model: Ternary Interference and Carry Avalanches

3-adic Collatz Stained Glass: Voronoi Partitioning of the Collatz-3 Inverse Map in Base-3 Logarithmic Spiral Space

Elucidating the Modular Structure of 3-adic Collatz Trajectories via Base-3 Logarithmic Spiral Mapping: Topological Analysis of 9m±2 Twin-Engine Magazines and a·3ᵇ Launchers

Collatz Stained Glass: Application of Voronoi Tessellation in a Binary Logarithmic Spiral Space

Shiftless & Carryless Collatz Models: Extraction of the Sierpiński Gasket and Emergent Chaos via Redundant Binary Representation

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

Shiftless Collatz Model and the Ternary Billiards: A Geometric Interpretation of the Trajectory

Shiftless Collatz Model: Binary Interference in the 3n+LSB Trajectory

Revealing the Modular Structure of Collatz Trajectories through Binary Logarithmic Spiral Plots: A Topological Analysis of 4m+1 Magazines and a·2ᵇ Launchers

k-adic Collatz Constellations: Prime-Preserving k-adic Collatz Chains on a Logarithmic Spiral

Constellations of Prime Chains on a Logarithmic Spiral: Geometric Symmetries of Cunningham and Collatz-type Chains

Survival Bias in 7-adic Prime Chains: Overcoming the Parity Trap

Prime Chain Dynamics in a 6-adic Collatz-like Map: Discovery of a Length-8 Chain

n-adic Collatz Universe Laboratory: Python Implementation and Dynamics Exploration Tools

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

Discovery of Length-7 Prime Chains under the Collatz Map f(x) = (3x+1)/2

Discovery of an 8-length Prime Chain under a 3-adic Collatz-like Map

Discovery of Length-7 Prime Chains under a 4-adic Collatz-like Map

Discovery of Length-7 Prime Chains in the Extended 5-adic Collatz-like Map

Collatz‑5: Python Implementation and Pentadica Orbit Exploration Tools

Collatz‑12: Python Implementation and Sanctuary Dynamics Exploration Tools