Rule30

Rule30ImageGenerator.php

<?php

class Rule30ImageGenerator {
    private $width;
    private $height;
    private $image;

    public function __construct($width, $height) {
        $this->width = $width;
        $this->height = $height;
        $this->image = imagecreate($this->width, $this->height);
        imagecolorallocate($this->image, 255, 255, 255); // Background color: white
    }

    public function generateRule30() {
        // Rule 30 initial state
        $initial_row = array_fill(0, $this->width, 0);
        $initial_row[$this->width / 2] = 1;

        // Generate subsequent rows based on Rule 30
        $rows = array($initial_row);
        for ($y = 1; $y < $this->height; $y++) {
            $prev_row = $rows[$y - 1];
            $new_row = array();
            for ($x = 0; $x < $this->width; $x++) {
                $left = $prev_row[($x - 1 + $this->width) % $this->width];
                $center = $prev_row[$x];
                $right = $prev_row[($x + 1) % $this->width];
                $new_row[$x] = $this->applyRule($left, $center, $right);
            }
            $rows[] = $new_row;
        }

        // Draw the image
        foreach ($rows as $y => $row) {
            foreach ($row as $x => $cell) {
                imagesetpixel($this->image, $x, $y, $cell ? 0 : 16777215); // Black for active cells, white for inactive
            }
        }
    }

    private function applyRule($left, $center, $right) {
        return ($left xor ($center || $right)) ? 1 : 0;
    }

    public function outputImage($filename) {
        imagepng($this->image, $filename);
        imagedestroy($this->image);
    }
}

// Usage example:
$width = 1000; // Width of the image
$height = 1000; // Height of the image

$generator = new Rule30ImageGenerator($width, $height);
$generator->generateRule30();
$generator->outputImage('rule30.png');