Stack Syntax Sketch

1-brownian.pde

 
int num = 2000;
int range = 6;

float[] ax = new float[num];
float[] ay = new float[num]; 


void setup() 
{
  size(640, 360);
  for(int i = 0; i < num; i++) {
    ax[i] = width/2;
    ay[i] = height/2;
  }
  frameRate(30);
}

void draw() 
{
  background(51);
  
  // Shift all elements 1 place to the left
  for(int i = 1; i < num; i++) {
    ax[i-1] = ax[i];
    ay[i-1] = ay[i];
  }

  // Put a new value at the end of the array
  ax[num-1] += random(-range, range);
  ay[num-1] += random(-range, range);

  // Constrain all points to the screen
  ax[num-1] = constrain(ax[num-1], 0, width);
  ay[num-1] = constrain(ay[num-1], 0, height);
  
  // Draw a line connecting the points
  for(int i=1; i<num; i++) {    
    float val = float(i)/num * 204.0 + 51;
    stroke(val);
    line(ax[i-1], ay[i-1], ax[i], ay[i]);
  }
}

2-brownian.stack

6 : range

[ { width 2 / : x height 2 / : y } ] : points

640:w 360:h size
30 frame-rate

[
  51:gray background

  ; Put a new value at the end of the array
  points head dup
  range neg range random x + : x
  range neg range random y + : y

  ; Constrain all points to the screen
  0 width  x clamp : x
  0 height y clamp : y

  ; Draw a line connecting the points
  [
    i points length / 204 * 51 +:gray stroke
    points i get points i 1 - get line
  ] points length times
] : draw

3-brownian.kcats

range : 6

points : [ { x: / 2 width  y: / 2 height } ]

size w:640 h:360
frame-rate 30

draw : [
  background gray:51

  ; Put a new value at the end of the array
  dup head points
  x : + x random range neg range
  y : + y random range neg range

  ; Constrain all points to the screen
  x : clamp x width
  y : clamp y height

  ; Draw a line connecting the points
  times length points [
    stroke gray:+ 51 * 204 / length points i
    line get - 1 i points get i points
  ]
]

This is a sketch and probably not 100% coherent or consistent

Brownian motion in

1. Processing
2. A fictional traditionally ordered stack language with first class dictionaries
3. A fictional reverse ordered stack language with first class dictionaries

3 is the same as 2, but each line of input is read from right to left so that the resulting source code is allegedly "more natural"

5 6 + becomes + 6 5
a b line becomes line b a

WELL GITHUB DELETED MY COMMENT WHEN I TRIED TO PREVIEW IT SO YOU DON'T GET FEEDBACK