Vector Diagram and Data of Main Results for "Topographical Features of the Lunar Surface Unveiled through Spherical Geodesic Triangulation Analysis Method of DEM Roughness at Equal Spatial Scales "

README Overview This repository includes six high-resolution images (Figure 3, Figure 6, Figure 7, Figure 10, and Figure 11) used in the associated research. These images can be zoomed in to examine triangulation mesh sizes and detailed surface features at various scales. The dataset also provides binary triangulation data files and text files containing calculated Hurst exponent and median slope values at multiple scales and geographic extents. The data files are spatially indexed to ensure a strict one-to-one correspondence between each triangle and its associated statistical values. Additionally, the dataset contains slope angle data at scale 𝑞10, which is visualized in Figure 5. File Descriptions 1. Images  Figure 3, Figure 6, Figure 7, Figure 10, Figure 11 High-resolution images illustrating triangulation meshes and lunar surface morphology. Zooming allows detailed inspection of mesh scale and spatial characteristics.  Figure 5 Visualizes slope angle data computed at scale 𝑞10 , shown via the file slope_angle.bin. 2. Triangulation Data (Binary Files, .bin) The binary files store triangulation mesh data for various scales covering the entire lunar surface or specific geographic subsets. Each triangle is represented by the longitude and latitude coordinates of its three vertices.  Full lunar surface at multiple scales:  tri_q5.bin — scale 𝑞5  tri_q6.bin — scale 𝑞6  tri_q7.bin — scale 𝑞7  tri_q8.bin — scale 𝑞8  Regional subsets at scale 𝑞10:  tri_q10_-161_-72_-46_16.bin — longitude range 󰇟161∘,72∘󰇠, latitude range 󰇟46∘,16 ∘󰇠 Each triangle is sequentially stored as three pairs of longitude and latitude coordinates. 3. Hurst Exponent Data (Text Files, .txt) These text files contain the Hurst exponent values computed for the corresponding triangulation meshes at various scales.  Hurst exponent values corresponding to full lunar surface:  hurst_q5.txt — scale 𝑞5  hurst_q6.txt — scale 𝑞6  hurst_q7.txt — scale 𝑞7  hurst_q8.txt — scale 𝑞8  Hurst exponent values for regional subset at scale 𝑞10:  hurst_q10_-161_-72_-46_16.txt Each value corresponds directly to one triangle in the matching .bin file. 4. Median Slope Data (Text Files, .txt) Median slope values are provided for regional subsets to complement the triangulation data and Hurst exponents.  Example at scale 𝑞10:  BMS_q10_-161_-72_-46_16.txt — median slope values for the geographic region with longitude 󰇟161∘,72∘󰇠 and latitude 󰇟46∘,16 ∘󰇠 Values are ordered identically to the triangles in the corresponding .bin file. 5. Slope Angle Data (Binary File, .bin)  slope_angle.bin This binary file contains slope angle data calculated at scale 𝑞10. The data correspond one-to-one with the triangulation mesh at scale 10 and are visualized in Figure 5 of the manuscript. Each value represents the slope angle of the corresponding triangle in the mesh. 6. sample_figs.zip  The MATLAB code for generating the triangular mesh and visualization is provided. For detailed instructions, please refer to the readme.pdf file included in the compressed archive Data Correspondence and Structure  One-to-one relationship: Each triangle in a .bin file corresponds exactly to one value in the related Hurst exponent, median slope, or slope angle .txt/.bin file. For example, the first triangle in tri_q10_-161_-72_-46_16.bin matches the first value in BMS_q10_-161_-72_46_16.txt and the first slope angle in slope_angle.bin.  File formats:  .bin files for triangulation store triangle vertices as sequential longitudelatitude pairs for the three vertices per triangle.  .txt files list one numerical value per triangle in corresponding order.  slope_angle.bin stores slope angle values in binary format, ordered identically to the triangles in the scale 10 mesh. Usage Notes  The combined use of images and triangulation data allows multi-scale visualization and quantitative analysis of lunar surface roughness and morphology.  Maintaining the index correspondence between .bin and .txt files is essential for accurate spatial data interpretation. For questions or additional support, please contact the corresponding author or Zhengfeng Zhang (email:zhangzhen[email protected]s.ac.cn).