Thank you for your kind words, was a pleasure to work with you. 
Warm regards,
Chrisir
P.S.
When you look at setup() again
void setup() {
size(1900, 800);
background(0) ;
noSmooth();
noStroke();
frameRate(13);
img = loadImage("process1.png"); // "fashion_MNist_01.png");
img.resize (200, 200);
// fill image grid
myList = new PixelRepresentation[img.width][img.height];
// fill permuts
for (int i=0; i<256; i++) {
permuts[i] = new ListOfPermuts( i );
}//for
fillpermuts () ;
for (int x = 0; x < img.width; x++) {
for (int y = 0; y < img.height; y++ ) {
// Calculate the 1D pixel location
int loc = x + y*img.width;
color c1=img.pixels[loc];
myList[x][y] = new PixelRepresentation (c1, x*5, y*5);
}// for
}// for
}// setup
from an aesthetically point of view:
the parts concerning
- image, img and PixelRepresentation (it’s for image) should be one section,
- and only after that the section with permuts;
so better version:
void setup() {
size(1900, 800);
background(0) ;
noSmooth();
noStroke();
frameRate(13);
// load image
img = loadImage("process1.png"); // "fashion_MNist_01.png");
img.resize (200, 200);
// prepare and fill image grid "myList"
myList = new PixelRepresentation[img.width][img.height];
for (int x = 0; x < img.width; x++) {
for (int y = 0; y < img.height; y++ ) {
// Calculate the 1D pixel location
int loc = x + y*img.width;
// get color
color c1 = img.pixels[loc];
// store color and future position
myList[x][y] = new PixelRepresentation (c1, x*5, y*5);
}// for
}// for
// prepare and fill permuts
for (int i=0; i<256; i++) {
permuts[i] = new ListOfPermuts( i );
}//for
fillpermuts () ;
}// setup
Remark
Also I made the function int count(int no) which is a variation of Richard’s is3bits().
It counts how many 1’s there are in a bit pattern thus determine also its brightness (from 0 to 12).
I use this an index for permuts[] array.
When retrieving data from permuts I map (use map() command) the brightness from 0…255 to 1…12 to use this as an index for permuts[].
Remark
Since binary() gives you the bit pattern as a String (length 12) I use this (with charAt()) to fill the 3x4 fields representing the patterns for each pixel.