Figure 3
On the left, five square patterned tiles are shown with distinct fiber paths and circular fillers. “Unit‑1” appears in the top left and includes two semicircular, one curved, and one diagonal fiber path and two circular fillers. “Unit‑2” appears on the middle left and shows two main diagonal and two semicircular fibers crossing the tile with two circular fillers near opposite corners. “Unit‑3” appears at the bottom left and contains large curved fiber arcs near the top-right and bottom edges, with two circular fillers on the left. “Unit‑4” appears at the center and shows a central vertical fiber connected to two large curved fibers forming a U shape, with two circular fillers near the upper corners. “Unit‑5” appears below unit-4 and displays multiple intersecting curved fibers creating a network across the tile, with three circular fillers placed near the top left, center, and bottom right. Rightward arrows with numbers “1”, “2”, “3”, “4”, and “5” from these units indicate how these units are referenced. At the center is a rectangular numerical table labeled “Arrangement matrix n by m” below the grid. The matrix consists of ten rows and ten columns. Each cell contains a single integer value between 1 and 5. The numbers are evenly spaced and aligned, forming a clear grid without visible row or column headers. In the top-left corner of the matrix, the first row begins with the sequence “1, 3, 1, 5”, and the second row begins with “3, 2, 5, 4”. These initial cells are lightly shaded in different colors, visually distinguishing them from the rest of the table. The remaining cells are unshaded and contain only numeric characters on a white background. These numbers correspond to the unit labels shown on the left. Curved arrows above the matrix point from selected numbers in the matrix toward the right side of the figure. On the right, a larger grid labeled “Assembly n dot L times m dot L” shows an expanded layout. The grid is divided into ten evenly spaced rows and ten columns with visible cell borders. In the upper-left portion, several rows contain numeric values from 1 to 5 arranged in a structured pattern. In the first row, the cells contain “1, 3, 1, 5, 2, 4, 3, 5, 1, 2”, and in the second row, the cells contain “3, 2, 5, 4, 1, 2, 4, 3, 5, asterisk”, with the numeric cells lightly shaded in different colors, indicating grouped or mapped regions within the assembly. As the grid extends toward the right and downward from row 2 to row 7, the cells from the right contain an asterisk instead of numbers. Each cell in rows 8 to 10 contains an asterisk. The numeric region gradually transitions into the asterisk-filled region, showing a partial assembly rather than a fully populated grid.Overview of all five 2D unit-cell geometries with distinct fiber paths and filler layouts, and corresponding finite-element meshes, showing element sizing (matrix: 0.0045 mm, fiber: 0.0015 mm)