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  12/17, 2021

week 9. using sine

(時間往復變化) 

practice:

  用sine 控制一個物件之 

    (1) 大小  scale  (https://processing.org/examples/sine.html)

    (2) 位置  translation  (https://processing.org/examples/sinecosine.html)

    (3) 旋轉(自轉與他轉)  rotation

(空間切割) sample codes:

float radius;
int segment = 10;
float centerX;
float centerY;

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);
}
void spiral(float x_c,float y_c, float r, int seg){
    for(int i =0;i<=seg;i++){
      float x = x_c+cos(i*2*PI/seg)*r;  //算出x的位置
      float y = y_c+sin(i*2*PI/seg)*r;  //算出y的位置
      point(x,y);  // 畫出點，也能用其他形狀
    }
}

( 空間切割範例)
https://processing.org/examples/star.html

using map

https://processing.org/examples/map.html

example :

void setup() {

size(800, 600);

noFill();

stroke(255, 255, 255);

}

void draw() {

float d;

background(0);

for (int i= 0; i<width; i+=50) {

pushMatrix();

translate(i, 0);

rotate(map(sin((i/40.0+frameCount)/30.0), -1.0, 1.0, -PI/4, PI/4));

line(0, 0, 0, 350);

translate(0, 350);

ellipse(0, 0, 50, 50);

popMatrix();

}

}

EX:
1. 每次點擊滑鼠，劃一個隨機半徑大小的圓。
2. draw flower of life (生命之花)

reference:

https://processing.org/examples/sine.html

https://processing.org/examples/sinecosine.html

John Whitney
https://www.youtube.com/watch?v=kzniaKxMr2g

Processing Tutorial Sin & Cos

https://www.youtube.com/watch?v=ehT7d9JPulQ

week 7. 3D primitives and array

size(640, 360, P3D); 
background(0);
lights();

noStroke();
pushMatrix();
translate(130, height/2, 0);
rotateY(1.25);
rotateX(-0.4);
box(100);
popMatrix();

noFill();
stroke(255);
pushMatrix();
translate(500, height*0.35, -200);
sphere(280);
popMatrix();

example2:

int gridSize = 50;
void setup(){
  size(640,360,P3D);
  
  fill(204, 204, 10);
}  
  
  
void draw() {  
  background(0);
  lights();
for (int i = 0+gridSize/2; i< width; i += gridSize)
  for (int j = 0+gridSize/2; j< height; j+= gridSize)
  {
    pushMatrix();
    translate(i, j, 0);
 //   rotateY(frameCount/5);
    rotateX(frameCount/7);
    noStroke();
    box(20);
    popMatrix();
  }
}

Example3, cube rotation + 2D array 

float[][] rotateRates;


int gridSize = 50;
void setup(){
  size(640,360,P3D);
  rotateRates = new float[width][height];
  
  for (int y = 0; y < height; y++) {
    for (int x = 0; x < width; x++) {
    
      rotateRates[x][y] = random(2.0, 40.0);
    }
  }
  fill(204, 204, 10);
}  
  
  
void draw() {  
  background(0);
  lights();
for (int i = 0+gridSize/2; i< width; i += gridSize)
  for (int j = 0+gridSize/2; j< height; j+= gridSize)
  {
    pushMatrix();
    translate(i, j, 0);
 //   rotateY(frameCount/5);
 //   rotateX(frameCount/7);
    rotateX(frameCount/rotateRates[i][j]);
    noStroke();
    box(20);
    popMatrix();
  }
}

Examples 4:

float[][] rotateRates;


int gridSize = 50;
void setup(){
  size(640,360,P3D);
  rotateRates = new float[width][height];
  
  for (int y = 0; y < height; y++) {
    for (int x = 0; x < width; x++) {
    
      rotateRates[x][y] = random(5.0, 40.0);
    }
  }
  fill(204, 204, 10);
}  
  
  
void draw() {  
  background(0);
  lights();
for (int i = 0+gridSize/2; i< width; i += gridSize)
  for (int j = 0+gridSize/2; j< height; j+= gridSize)
  {
    pushMatrix();
    translate(i, j, sin(frameCount/20.0)*20.0);
 //   rotateY(frameCount/5);
 //   rotateX(frameCount/7);
    rotateX(frameCount/rotateRates[i][j]);
    noStroke();
    box(20);
    popMatrix();
  }
}

example 5: using sin

float[][] rotateRates;


int gridSize = 50;
void setup(){
  size(640,360,P3D);
  rotateRates = new float[width][height];
  
  for (int y = 0; y < height; y++) {
    for (int x = 0; x < width; x++) {
    
      rotateRates[x][y] = random(5.0, 40.0);
    }
  }
  fill(204, 204, 10);
}  
  
  
void draw() {  
  background(0);
  lights();
for (int i = 0+gridSize/2; i< width; i += gridSize)
  for (int j = 0+gridSize/2; j< height; j+= gridSize)
  {
    pushMatrix();
    translate(i, j, sin((frameCount/10.0)%width+i)*50.0);
 //   rotateY(frameCount/5);
 //   rotateX(frameCount/7);
    rotateX(frameCount/rotateRates[i][j]);
    noStroke();
    box(20);
    popMatrix();
  }
}

References:

https://processing.org/tutorials/p3d/