Created
January 4, 2014 04:54
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Drawing dots with Fibonacci
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import java.util.*; | |
Fibonacci fibonacci; | |
float unitAngle; | |
float unitFibonacciAngle; | |
int NUM_POINTS = 90; | |
float NUM_DISTANCE_FROM_APEX = 1; | |
class Fibonacci { | |
List<Long> array = new ArrayList<Long>(); | |
Fibonacci(int index) { | |
array = generateFibonacciArray(index); | |
} | |
private List<Long> generateFibonacciArray(int index) { | |
if(array.size() != 0) return array; | |
for(int i = 0; i <= index; i++) { | |
if(i == 0) { | |
array.add((long)0); | |
}else if(i == 1) { | |
array.add((long)1); | |
} else { | |
array.add(array.get(i - 2) + array.get(i -1)); | |
} | |
} | |
return array; | |
} | |
public float diff(int i) { | |
if(i == 0 || i == 1) return 0; | |
return (float)array.get(i) / (float)array.get(i - 1); | |
} | |
} | |
void setup() { | |
size(300, 300); | |
noLoop(); | |
unitAngle = TWO_PI * (1 + sqrt(5)) / 2; | |
fibonacci = new Fibonacci(NUM_POINTS); | |
} | |
void draw() { | |
background(0); | |
noStroke(); | |
float r, x, y; | |
float angle; | |
for(int i = 0; i < NUM_POINTS; ++i) { | |
angle = unitAngle * i; | |
r = i * NUM_DISTANCE_FROM_APEX; | |
x = 150 + r * cos(angle); | |
y = 150 + r * sin(angle); | |
fill(255, 255, 255, 200); | |
ellipse(x, y, 4, 4); | |
} | |
for(int i = 0; i < NUM_POINTS; ++i) { | |
// With real Fibonacci value | |
angle = (TWO_PI * fibonacci.diff(i)) * i; | |
println(i + ": " + fibonacci.array.get(i) + ": " + fibonacci.diff(i)); | |
r = i * NUM_DISTANCE_FROM_APEX; | |
x = 150 + r * cos(angle); | |
y = 150 + r * sin(angle); | |
fill(255, 128, 128, 150); | |
ellipse(x, y, 4, 4); | |
} | |
} |
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generated image file https://www.diigo.com/item/p/qpeeeqszbseacqcabzbceapdep