README: Interactive Figures for "Structural Patterns of Goldbach Partition Numbers"
Overview
This supplementary material contains three interactive HTML visualizations that complement the static figures in the main manuscript "Structural Patterns of Goldbach Partition Numbers: A High-Precision Estimation Model Based on Prime Density." These interactive versions allow readers to explore the data distributions in greater detail.

Files Included
interactive_figure1.html: Interactive version of Figure 1 in the manuscript, showing the point distribution diagram of even number G(2n) partition numbers in the range 4-10000.
interactive_figure2.html: Interactive version of Figure 2 in the manuscript, showing the point distribution diagram of even number G(2n) partition numbers in the range 999990000-1000000000.
interactive_figure3.html: Interactive version of Figure 3 in the manuscript, showing the point distribution diagram of even number G(2n) partition numbers in the range 34990000-35000000, with color coding for different factor types.
How to Use
Open the HTML files in any modern web browser (Chrome, Firefox, Safari, or Edge).
Interactive features include:
Hover functionality: Move your cursor over any data point to see detailed information about that specific even number, including its value, partition number, and factor classification.
Zoom capability: Use the mouse wheel or touchpad to zoom in on specific regions of interest.
Pan functionality: Click and drag to navigate to different areas of the visualization.
Selection tools: In the top-right corner, find tools to select specific regions or points for closer examination.
Legend toggle: Click on legend items to show/hide specific categories of points.
Color coding corresponds to the same scheme used in the manuscript:
Dark blue points: Type I even numbers
Light blue points: Type II regular even numbers
Orange-yellow points: Even numbers containing the single effective factor 7
Deep purple points: Even numbers containing the single effective factor 5
Cyan points: Even numbers containing effective factors 5 and 7
Indigo points: Even numbers containing the single effective factor 3
Light red points: Even numbers containing effective factors 3 and 5
Magenta points: Peak positions
Relationship to Manuscript Figures
These interactive visualizations directly correspond to Figures 1-3 in the main manuscript but provide additional functionality that enhances the understanding of the structural patterns described in Sections 3.1.3 and 3.2.2. The interactive nature allows readers to explore the layered structure of partition numbers and verify the factor influence patterns described in the text.

Technical Requirements
Any modern web browser (updated within the last 2-3 years)
JavaScript enabled
No additional plugins required
Citation
When referring to these visualizations, please cite the main paper:

Zhao, S. (2025). Structural Patterns of Goldbach Partition Numbers: A High-Precision Estimation Model Based on Prime Density. Research in Number Theory.