cube turn

cubeTurn.pde

// by davey @beesandbombs

int[][] result;
float t, c;

float ease(float p) {
  return 3*p*p - 2*p*p*p;
}

float ease(float p, float g) {
  if (p < 0.5) 
    return 0.5 * pow(2*p, g);
  else
    return 1 - 0.5 * pow(2*(1 - p), g);
}

float mn = .5*sqrt(3), ia = atan(sqrt(.5));

void push() {
  pushMatrix();
  pushStyle();
}

void pop() {
  popStyle();
  popMatrix();
}

void draw() {

  if (!recording) {
    t = mouseX*1.0/width;
    c = mouseY*1.0/height;
    if (mousePressed)
      println(c);
    draw_();
  } else {
    for (int i=0; i<width*height; i++)
      for (int a=0; a<3; a++)
        result[i][a] = 0;

    c = 0;
    for (int sa=0; sa<samplesPerFrame; sa++) {
      t = map(frameCount-1 + sa*shutterAngle/samplesPerFrame, 0, numFrames, 0, 1);
      draw_();
      loadPixels();
      for (int i=0; i<pixels.length; i++) {
        result[i][0] += pixels[i] >> 16 & 0xff;
        result[i][1] += pixels[i] >> 8 & 0xff;
        result[i][2] += pixels[i] & 0xff;
      }
    }

    loadPixels();
    for (int i=0; i<pixels.length; i++)
      pixels[i] = 0xff << 24 | 
        int(result[i][0]*1.0/samplesPerFrame) << 16 | 
        int(result[i][1]*1.0/samplesPerFrame) << 8 | 
        int(result[i][2]*1.0/samplesPerFrame);
    updatePixels();

    saveFrame("f###.gif");
    if (frameCount==numFrames)
      exit();
  }
}

//////////////////////////////////////////////////////////////////////////////

int samplesPerFrame = 8;
int numFrames = 360;        
float shutterAngle = .6;

boolean recording = false;

void setup() {
  size(800, 800, P3D);
  smooth(8);
  ortho();
  result = new int[width*height][3];
  rectMode(CENTER);
  fill(32);
  noStroke();
}

void boxx() {
  noStroke();
  fill(32);

  push();
  translate(0, 0, l/2);
  rect(0, 0, l, l);
  pop();

  push();
  rotateX(HALF_PI);
  translate(0, 0, l/2);
  rect(0, 0, l, l);
  pop();
  
  push();
  rotateY(-HALF_PI);
  translate(0, 0, l/2);
  rect(0, 0, l, l);
  pop();

  fill(250);
  push();
  rotateY(HALF_PI);
  translate(0, 0, l/2);
  rect(0, 0, l, l);
  
  push();
  fill(32);
  translate(0,0,1);
  beginShape();
  for(int i=0; i<6; i++)
    vertex(r*cos(TWO_PI*i/6), r*sin(TWO_PI*i/6));
  endShape(CLOSE);
  pop();
  
  pop();
  
  fill(#6FC784);
  push();
  rotateX(-HALF_PI);
  translate(0, 0, l/2);
  rect(0, 0, l, l);
  pop();
  
  fill(#0F54A1);
  push();
  rotateY(PI);
  translate(0, 0, l/2);
  rect(0, 0, l, l);  
  pop();
}

float x, y, z, tt;
int N = 12;
float l = 200;
float t1, t2, t3, t4, t5;
float r = l*.4;

void draw_() {
  t1 = ease(constrain(map(t,0,.3,0,1), 0, 1),4);
  t2 = ease(constrain(map(t,.3,.6,0,1), 0, 1),4);
  t3 = ease(constrain(map(t,.6,1,0,1), 0, 1),4);
  background(250); 
  push();
  translate(width/2, height/2);
  scale(pow(2.045,t));
  rotateX(lerp(-ia,0,t3));
  rotateY(QUARTER_PI);
  rotateY(.75*PI*t3);
  rotate(HALF_PI*t2);
  rotateY(HALF_PI*t1);
  boxx();
  pop();
}

gif: https://twitter.com/beesandbombs/status/876071668447404032