PenroseLSystem ds; void setup() { size(640, 360); ds = new PenroseLSystem(); ds.simulate(4); } void draw() { background(0); ds.render(); } class LSystem { int steps = 0; String axiom; String rule; String production; float startLength; float drawLength; float theta; int generations; LSystem() { axiom = "F"; rule = "F+F-F"; startLength = 190.0; theta = radians(120.0); reset(); } void reset() { production = axiom; drawLength = startLength; generations = 0; } int getAge() { return generations; } void render() { translate(width/2, height/2); steps += 5; if (steps > production.length()) { steps = production.length(); } for (int i = 0; i < steps; i++) { char step = production.charAt(i); if (step == 'F') { rect(0, 0, -drawLength, -drawLength); noFill(); translate(0, -drawLength); } else if (step == '+') { rotate(theta); } else if (step == '-') { rotate(-theta); } else if (step == '[') { pushMatrix(); } else if (step == ']') { popMatrix(); } } } void simulate(int gen) { while (getAge() < gen) { production = iterate(production, rule); } } String iterate(String prod_, String rule_) { drawLength = drawLength * 0.6; generations++; String newProduction = prod_; newProduction = newProduction.replaceAll("F", rule_); return newProduction; } } class PenroseLSystem extends LSystem { int steps = 0; float somestep = 0.1; String ruleW; String ruleX; String ruleY; String ruleZ; PenroseLSystem() { axiom = "[X]++[X]++[X]++[X]++[X]"; ruleW = "YF++ZF4-XF[-YF4-WF]++"; ruleX = "+YF--ZF[3-WF--XF]+"; ruleY = "-WF++XF[+++YF++ZF]-"; ruleZ = "--YF++++WF[+ZF++++XF]--XF"; startLength = 460.0; theta = radians(36); reset(); } void useRule(String r_) { rule = r_; } void useAxiom(String a_) { axiom = a_; } void useLength(float l_) { startLength = l_; } void useTheta(float t_) { theta = radians(t_); } void reset() { production = axiom; drawLength = startLength; generations = 0; } int getAge() { return generations; } void render() { translate(width/2, height/2); int pushes = 0; int repeats = 1; steps += 12; if (steps > production.length()) { steps = production.length(); } for (int i = 0; i < steps; i++) { char step = production.charAt(i); if (step == 'F') { stroke(255, 60); for (int j = 0; j < repeats; j++) { line(0, 0, 0, -drawLength); noFill(); translate(0, -drawLength); } repeats = 1; } else if (step == '+') { for (int j = 0; j < repeats; j++) { rotate(theta); } repeats = 1; } else if (step == '-') { for (int j =0; j < repeats; j++) { rotate(-theta); } repeats = 1; } else if (step == '[') { pushes++; pushMatrix(); } else if (step == ']') { popMatrix(); pushes--; } else if ( (step >= 48) && (step <= 57) ) { repeats = (int)step - 48; } } // Unpush if we need too while (pushes > 0) { popMatrix(); pushes--; } } String iterate(String prod_, String rule_) { String newProduction = ""; for (int i = 0; i < prod_.length(); i++) { char step = production.charAt(i); if (step == 'W') { newProduction = newProduction + ruleW; } else if (step == 'X') { newProduction = newProduction + ruleX; } else if (step == 'Y') { newProduction = newProduction + ruleY; } else if (step == 'Z') { newProduction = newProduction + ruleZ; } else { if (step != 'F') { newProduction = newProduction + step; } } } drawLength = drawLength * 0.5; generations++; return newProduction; } }