!7 import static java.lang.Math.*; import java.awt.geom.*; p-substance { showPackedFrame(new PenroseTiling); hideConsole(); } sclass PenroseTiling extends JPanel { // ignores missing hash code class Tile { double x, y, angle, size; Type type; Tile(Type t, double x, double y, double a, double s) { type = t; this.x = x; this.y = y; angle = a; size = s; } @Override public boolean equals(Object o) { if (o instanceof Tile) { Tile t = (Tile) o; return type == t.type && x == t.x && y == t.y && angle == t.angle; } return false; } } enum Type { Kite, Dart } static final double G = (1 + sqrt(5)) / 2; // golden ratio static final double T = toRadians(36); // theta new L tiles; *() { int w = 700, h = 450; setPreferredSize(new Dimension(w, h)); setBackground(Color.white); tiles = deflateTiles(setupPrototiles(w, h), 5); } L setupPrototiles(int w, int h) { new L proto; // sun for (double a = PI / 2 + T; a < 3 * PI; a += 2 * T) proto.add(new Tile(Type.Kite, w / 2, h / 2, a, w / 2.5)); ret proto; } List deflateTiles(List tls, int generation) { if (generation <= 0) return tls; List next = new ArrayList<>(); for (Tile tile : tls) { double x = tile.x, y = tile.y, a = tile.angle, nx, ny; double size = tile.size / G; if (tile.type == Type.Dart) { next.add(new Tile(Type.Kite, x, y, a + 5 * T, size)); for (int i = 0, sign = 1; i < 2; i++, sign *= -1) { nx = x + cos(a - 4 * T * sign) * G * tile.size; ny = y - sin(a - 4 * T * sign) * G * tile.size; next.add(new Tile(Type.Dart, nx, ny, a - 4 * T * sign, size)); } } else { for (int i = 0, sign = 1; i < 2; i++, sign *= -1) { next.add(new Tile(Type.Dart, x, y, a - 4 * T * sign, size)); nx = x + cos(a - T * sign) * G * tile.size; ny = y - sin(a - T * sign) * G * tile.size; next.add(new Tile(Type.Kite, nx, ny, a + 3 * T * sign, size)); } } } // remove duplicates tls = uniquify(next); return deflateTiles(tls, generation - 1); } void drawTiles(Graphics2D g) { double[][] dist = {{G, G, G}, {-G, -1, -G}}; for (Tile tile : tiles) { double angle = tile.angle - T; Path2D path = new Path2D.Double(); path.moveTo(tile.x, tile.y); int ord = tile.type.ordinal(); for (int i = 0; i < 3; i++) { double x = tile.x + dist[ord][i] * tile.size * cos(angle); double y = tile.y - dist[ord][i] * tile.size * sin(angle); path.lineTo(x, y); angle += T; } path.closePath(); g.setColor(ord == 0 ? Color.orange : Color.yellow); g.fill(path); g.setColor(Color.darkGray); g.draw(path); } } @Override public void paintComponent(Graphics og) { super.paintComponent(og); Graphics2D g = (Graphics2D) og; g.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON); drawTiles(g); } }