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add two_edge_wang_tiles
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Justin Lin
224
examples/two_edge_wang_tiles.scad
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224
examples/two_edge_wang_tiles.scad
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@@ -0,0 +1,224 @@
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use <arc.scad>;
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rows = 10;
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columns = 15;
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tile_width = 10;
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tile_thickness = 2;
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$fn = 24;
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module two_edge_wang_tiles(rows, columns, tile_width) {
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edges = [
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for(y = [0:rows])
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[
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for(x = [0:columns])
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[round(rands(0, 1, 1)[0]), round(rands(0, 1, 1)[0])]
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]
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];
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for(y = [0:rows - 1]) {
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for(x = [0:columns - 1]) {
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i = (edges[y + 1][x][0] == 1 ? 1 : 0) +
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(edges[y][x + 1][1] == 1 ? 2 : 0) +
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(edges[y][x][0] == 1 ? 4 : 0) +
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(edges[y][x][1] == 1 ? 8 : 0);
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translate([x, y] * tile_width)
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children(i);
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}
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}
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}
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two_edge_wang_tiles(rows, columns, tile_width) {
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sample_tile(0, tile_width, tile_thickness);
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sample_tile(1, tile_width, tile_thickness);
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sample_tile(2, tile_width, tile_thickness);
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sample_tile(3, tile_width, tile_thickness);
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sample_tile(4, tile_width, tile_thickness);
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sample_tile(5, tile_width, tile_thickness);
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sample_tile(6, tile_width, tile_thickness);
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sample_tile(7, tile_width, tile_thickness);
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sample_tile(8, tile_width, tile_thickness);
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sample_tile(9, tile_width, tile_thickness);
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sample_tile(10, tile_width, tile_thickness);
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sample_tile(11, tile_width, tile_thickness);
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sample_tile(12, tile_width, tile_thickness);
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sample_tile(13, tile_width, tile_thickness);
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sample_tile(14, tile_width, tile_thickness);
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sample_tile(15, tile_width, tile_thickness);
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}
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translate([0, tile_width * (rows + 1)]) {
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color("LightGrey")
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linear_extrude(tile_thickness / 2)
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translate([-tile_width / 2, -tile_width / 2])
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square([columns * tile_width, rows * tile_width]);
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color("green")
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linear_extrude(tile_thickness)
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two_edge_wang_tiles(rows, columns, tile_width) {
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path_tile(0, tile_width);
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path_tile(1, tile_width);
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path_tile(2, tile_width);
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path_tile(3, tile_width);
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path_tile(4, tile_width);
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path_tile(5, tile_width);
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path_tile(6, tile_width);
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path_tile(7, tile_width);
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path_tile(8, tile_width);
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path_tile(9, tile_width);
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path_tile(10, tile_width);
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path_tile(11, tile_width);
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path_tile(12, tile_width);
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path_tile(13, tile_width);
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path_tile(14, tile_width);
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path_tile(15, tile_width);
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}
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}
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module sample_tile(n, width, thickness) {
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half_w = width / 2;
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diff_polygons = [
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[[]],
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[[[0, 0], [half_w, half_w], [-half_w, half_w]]],
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[[[0, 0], [half_w, -half_w], [half_w, half_w]]],
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[[[-half_w, half_w], [half_w, -half_w], [half_w, half_w]]],
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[[[0, 0], [-half_w, -half_w], [half_w, -half_w]]],
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[
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[[0, 0], [half_w, half_w], [-half_w, half_w]],
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[[0, 0], [-half_w, -half_w], [half_w, -half_w]]
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],
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[[[-half_w, -half_w], [half_w, -half_w], [half_w, half_w]]],
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[[[0, 0], [-half_w, -half_w], [half_w, -half_w], [half_w, half_w], [-half_w, half_w]]],
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[[[0, 0], [-half_w, half_w], [-half_w, -half_w]]],
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[[[-half_w, half_w], [-half_w, -half_w], [half_w, half_w]]],
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[
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[[0, 0], [-half_w, half_w], [-half_w, -half_w]],
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[[0, 0], [half_w, -half_w], [half_w, half_w]]
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],
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[[[0, 0], [half_w, -half_w], [half_w, half_w], [-half_w, half_w], [-half_w, -half_w]]],
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[[[-half_w, half_w], [-half_w, -half_w], [half_w, -half_w]]],
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[[[0, 0], [half_w, half_w], [-half_w, half_w], [-half_w, -half_w], [half_w, -half_w]]],
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[[[0, 0], [-half_w, half_w], [-half_w, -half_w], [half_w, -half_w], [half_w, half_w]]],
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[[[half_w, half_w], [-half_w, half_w], [-half_w, -half_w], [half_w, -half_w]]]
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];
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color("blue")
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linear_extrude(thickness)
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difference() {
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square(width, center = true);
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for(diff_polygon = diff_polygons[n]) {
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offset(0.01) polygon(diff_polygon);
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}
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}
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color("yellow")
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linear_extrude(thickness / 2)
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square(width, center = true);
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}
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module path_tile(n, width) {
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half_w = width / 2;
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quarter_w = width / 4;
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module tile1() {
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difference() {
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square(width, center = true);
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circle(quarter_w);
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translate([0, quarter_w])
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square([quarter_w, quarter_w * 2], center = true);
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}
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}
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module tile3() {
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difference() {
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square(width, center = true);
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translate([half_w, half_w])
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arc(radius = half_w, angle = [180, 270], width = quarter_w);
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}
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}
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module tile5() {
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difference() {
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square(width, center = true);
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square([quarter_w, width], center = true);
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}
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}
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module tile7() {
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intersection() {
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square(width, center = true);
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translate([half_w, half_w])
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circle(1.5 * quarter_w);
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}
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intersection() {
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square(width, center = true);
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translate([half_w, -half_w])
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circle(1.5 * quarter_w);
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}
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intersection() {
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square(width, center = true);
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translate([-1.25 * half_w, 0])
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square(width, center = true);
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}
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}
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module tile15() {
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for(i = [0:3]) {
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rotate(90 * i)
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intersection() {
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square(width, center = true);
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translate([half_w, half_w])
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circle(1.5 * quarter_w);
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}
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}
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}
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if(n == 0) {
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square(width, center = true);
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}
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else if(n == 1) {
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tile1();
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}
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else if(n == 2) {
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rotate(-90) tile1();
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}
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else if(n == 3) {
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tile3();
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}
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else if(n == 4) {
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rotate(-180) tile1();
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}
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else if(n == 5) {
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tile5();
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}
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else if(n == 6) {
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rotate(-90) tile3();
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}
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else if(n == 7) {
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tile7();
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}
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else if(n == 8) {
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rotate(90) tile1();
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}
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else if(n == 9) {
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rotate(90) tile3();
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}
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else if(n == 10) {
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rotate(90) tile5();
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}
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else if(n == 11) {
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rotate(90) tile7();
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}
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else if(n == 12) {
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rotate(-180) tile3();
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}
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else if(n == 13) {
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rotate(180) tile7();
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}
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else if(n == 14) {
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rotate(270) tile7();
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}
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else if(n == 15) {
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rotate(270) tile15();
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}
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}
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