Radial Tessellation

radial_iLOX places interlocking cell pairs on a hexagonal lattice with rotational symmetry: cell A instances (green) sit on hexagon centers over one substrate, cell B instances (blue) on the triangulated midpoints under the other, so pressing the two substrates together engages every cell at once.

Source: examples/simpleUsage/simpleUsageRadial.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 ] ] ];

// Rotational symmetry, tessellation levels, packing
degree_n = 6;
levels = 4;
packing_factor = 0.3; // [0:1]

radial_iLOX(width_x, height_y, base_ucell_div, base_ucell_neg_poly, degree_n, levels, packing_factor);

Key parameters:

• base_ucell_div — the division line that splits the unit cell into the two interlocking halves; each point carries its own fit tolerance.
• degree_n — order of rotational symmetry for each cell (6 = hexagonal).
• levels — how many rings of hexagons the lattice grows outward.
• packing_factor — extra spacing between cells, from none (0) to half a cell width (1).

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