Rectangular Tessellation

linear_iLOX places interlocking cell pairs on a rectangular grid: cell A instances (green) on the grid points over one substrate, cell B instances (blue) on the grid midpoints under the other. An extension factor stretches cells along Y to close the gaps a square lattice would otherwise leave.

Source: examples/simpleUsage/simpleUsageRectangular.scad

use <../../iLOX.scad>;

// Width / height of the unit cell
width_x = 5;
height_y = 10;

// Division line as [x, y, tolerance] points
base_ucell_div = [ [ 0.5, 0, 0.01 ], [ 0.3, 0.1, 0.01 ], [ 0.3, 0.4, 0.01 ] ];

// Negative polygons cut voids out of the cell
base_ucell_neg_poly = [ [ [ 0.7, 0.8 ], [ 0.7, 1 ], [ 0.3, 1 ] ] ];

// Grid size, substrate, and gap-closing extension
grid_n = 5;
grid_m = 4;
substrate_height = 3;
extension_factor = 0.5; // [0:0.1:1]

linear_iLOX(width_x, height_y, base_ucell_div, base_ucell_neg_poly, grid_n, grid_m, extension_factor,
            substrate_height);

Key parameters:

• grid_n, grid_m — number of grid points in X and Y.
• extension_factor — stretches cells along Y (up to one cell width) to reduce the gaps between rows.
• substrate_height — thickness of the solid backing each side of cells sits on.

Set show_ucell = true in the full example file to inspect the 2D unit cell with ucell_designer before tessellating it.