Color-coded geometric grid patterns (1024 voxel grid) for "From Pixel to Wave: A Geometric Complementary Code"

This dataset contains 13 PDF figures that support the manuscript "From Pixels to Wave: A Geometric Complementary Code." It includes color-coded geometric grid patterns derived froma 1024 cubic voxel grid, hierarchical 2x2 matrices. All figures are derived outputs from the morphometric encoding pipeline described in the Methods section. File list with captions: Lattice_FaceCentered_NaCl_UnitCell_16px_4planes.pdf. Lattice space of a face-centered cubic lattice showing 16 pixels per XY plane across 4 XY planes with sodium (Na) and chloride (Cl) atom positions in the pixelated unit cell space. (First figure in the dataset.) PixelTile_2D_Quadrant_HierarchicalOscillations.pdf. 2D pixel tile shown as one quadrant of a 2x2 matrix demonstrating hiearchical oscillation. Corresponds to the hiearchical relationship analysis in the Discussion. Grid_Pattern_A_1024cube_ColorCoded.pdf. Grid_Pattern_B_1024cube_ColorCoded.pdf. Grid_Pattern_C_1024cube_ColorCoded.pdf. Grid_Pattern_D_1024cube_ColorCoded.pdf. Hiearchy_Matrix_1_2x2.pdf [pixel-scale basic hiearchy]. Hierarchy_Matrix_3_2x2.pdf [pixel-scale advanced hierarchy]. Hierarchy_Matrix_3_2x2pdf [atomic-scale basic hierarchy]. Hierarchy_Matrix_4_2x2.pdf [atomic-scale advanced hierarchy]. Hierarchy_Matrix_5_2x2.pdf [topographic tile-scale basic hierarchy]. Hierarchy_Matrix 6_2x2.pdf [topographic tile-scale advanced hierarchy]. Hierarchy_Matrix_7_2x2.pdf [Phytagorean theorem, geometric proof, within 2x2 matrix hierarchy]. These directily illustrate the encoding hierarchy and oscillation relationships. For full interpretation and methods, please refer to the associated journal article.