Untitled 2

Translated by Martin Schneider

Based on: Untitled 2 by Vladimir Bonacic

Category: direct

This sketch simply creates the four patterns of the second image in the article from the pattern presets given below. Press any key to switch between patterns.

        
/*
Part of the ReCode Project (http://recodeproject.com)
Based on "Untitled 2" by Vladimir Bonacic
Originally published in "Computer Graphics and Art" vol2 no3, 1977
Copyright (c) 2012 Martin Schneider - OSI/MIT license (http://recodeproject/license).
*/

////////////////////////////////////////////////////////////////////////
//                                                                    //
//   "Dynamic Object GF.E (16, 4) 69/71" by Vladimir Bonačić          //
//                                                                    //
//                     ( untitled 2 )                                 //
//                                                                    //
////////////////////////////////////////////////////////////////////////

// The dynamic object is a 32 x 32 display.
// It visualizes objects from  abstract algebra,
// which are known as Galois groups.

// Source:
// "Research and Teaching in Art and Science" by Vladimir Bonačić
// Computer Graphics and Art Vol. 2, No. 3 pp. 4-8

// See also:
// "Kinetic Art: Application of Abstract Algebra to Objects with Computer-
// Controlled Flashing Lights and Sound Combinations" by Vladimir Bonačić
// Leonardo, Vol. 7, No. 3
// Note: This paper is quite mathematical at times.
// The implementation however is actually really simple.


///////////////////////////// UNTITLED 2 ///////////////////////////////

// this sketch simply creates the 4 patterns of the 2nd image
// in the article from the pattern presets given below.

// Press any key to switch between patterns

let preset = [4294967295, 100675584, 2146959392, 4293918847];

let d = 1 << 5;          // cells per dimension
let led = 10;            // size of the light bulb
let w = led * d + 1;     // display size
let p = 0;

function setup() {
  createCanvas(w, w);
}

function draw() {
  background(0);
  for (let y = 0; y < d; y++) {
    for (let x = 0; x < d; x++) {
      if ((1 << (x ^ y) & preset[p]) > 0) {
        rect(led * x, led * y, led, led);
      }
    }
  }
}

function keyPressed() {
  p = (p + 1) % preset.length;
}