week 10. using recursion for Sacred Geometry

float radius;
int segment = 6;
float centerX;
float centerY;
int recursionLevel = 3;

void setup(){
 size(600,600);
 background(0);
 stroke(255);
 centerX = height/2;
 centerY = width/2;
}

void draw(){
  background(0);
  radius = dist(centerX, centerY, mouseX, mouseY);
  spiral(centerX,centerY,radius,segment, recursionLevel);
}
void spiral(float x_c,float y_c, float r, int seg,int level){
  level -= 1;
  noFill();
  ellipse(x_c,y_c,2*r,2*r);
    for(int i =0;i < seg; i++){
      float x = x_c+cos(i*2*PI/seg)*r; 
      float y = y_c+sin(i*2*PI/seg)*r;
      point(x,y); 
      ellipse(x,y,2*r,2*r);
    
      if(level > 0){
      spiral(x,y,r,seg, level);
      }
    }
}


example 2:

float radius; int segment = 6; float centerX; float centerY;
int recursionLevel = 3;

void setup(){
size(600,600);
background(0);
stroke(255);
centerX = height/2;
centerY = width/2;
}

void draw(){
background(0);
// radius = dist(centerX, centerY, mouseX, mouseY);
radius = 50;

pushMatrix();
translate(centerX-100, centerY);
rotate(frameCount / 50.0);
spiral(0,0,radius,segment, recursionLevel);
popMatrix();

}
void spiral(float x_c,float y_c, float r, int seg,int level){
level -= 1;
noFill();
ellipse(x_c,y_c,2*r,2*r);
for(int i =0;i < seg;i++)
{ 
float x = x_c+cos(i*2*PI/seg)*r;
float y = y_c+sin(i*2*PI/seg)*r;
point(x,y);
ellipse(x,y,2*r,2*r);

if(level>0){
spiral(x,y,r,seg, level);
}
}
}

example 3:

float radius;

int segment = 6;

float centerX;

float centerY;

int recursionLevel = 3;

void setup(){

size(600,600);

background(0);

stroke(255);

centerX = height/2;

centerY = width/2;

}

void draw(){

background(0);

// radius = dist(centerX, centerY, mouseX, mouseY);

radius = 50;

pushMatrix();

translate(centerX, centerY);

rotate(frameCount / 50.0);

spiral(0,0,radius,segment, recursionLevel);

popMatrix();

}

void spiral(float x_c,float y_c, float r, int seg,int level){

level -= 1;

noFill();

//ellipse(x_c,y_c,r*2,r*2);

for(int i =0;i < seg;i++)

{

float x = x_c+cos(i*2*PI/seg)*r;

float y = y_c+sin(i*2*PI/seg)*r;

//point(x,y);

float r1= 2*r*map(sin(frameCount/50.0+i*PI/6.0), -1.0, 1.0, 0.01, 4.0);

ellipse(x,y,r1,r1);

if(level>0){

spiral(x,y,r,seg, level);

}

}

}

References:

The Illusions of Reality & The Basics of Sacred Geometry (The Patterns of Consciousness) 

https://www.youtube.com/watch?v=zoqTNpok6zw

project 2:

draw mandala or Sacred Geometry (tree of life)

4 compositions representing earth, water, fire, wind, (4 elements)
deadline  12/11, 2020