my $levels = 6;
my $side   = 512;
my $height = get_height($side);

sub get_height { my($side) = @_; $side * sqrt(3) / 2 }

sub triangle {
    my($x1, $y1, $x2, $y2, $x3, $y3, $fill, $animate) = @_;
    my $svg;
    $svg .= qq{<polygon points="$x1,$y1 $x2,$y2 $x3,$y3"};
    $svg .= qq{ style="fill: $fill; stroke-width: 0;"} if $fill;
    $svg .= $animate
        ? qq{>\n  <animate attributeType="CSS" attributeName="opacity"\n  values="1;0;1" keyTimes="0;.5;1" dur="20s" repeatCount="indefinite" />\n</polygon>\n}
        : ' />';
    return $svg;
}

sub fractal {
    my( $x1, $y1, $x2, $y2, $x3, $y3, $r ) = @_;
    my $svg;
    $svg .= triangle( $x1, $y1, $x2, $y2, $x3, $y3 );
    return $svg unless --$r;
    my $side = abs($x3 - $x2) / 2;
    my $height = get_height($side);
    $svg .= fractal( $x1, $y1-$height*2, $x1-$side/2, $y1-3*$height, $x1+$side/2, $y1-3*$height, $r);
    $svg .= fractal( $x2, $y1, $x2-$side/2, $y1-$height, $x2+$side/2, $y1-$height, $r);
    $svg .= fractal( $x3, $y1, $x3-$side/2, $y1-$height, $x3+$side/2, $y1-$height, $r);
}

open my $fh, '>', 'run/sierpinski_triangle.svg';
print $fh <<'EOD',
<?xml version="1.0" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg width="100%" height="100%" version="1.1" xmlns="http://www.w3.org/2000/svg">
<defs>
  <radialGradient id="basegradient" cx="50%" cy="65%" r="50%" fx="50%" fy="65%">
    <stop offset="10%" stop-color="
    <stop offset="60%" stop-color="
    <stop offset="99%" stop-color="
  </radialGradient>
</defs>
EOD

triangle( $side/2, 0, 0, $height, $side, $height, 'url(
triangle( $side/2, 0, 0, $height, $side, $height, '
'<g style="fill: 
fractal( $side/2, $height, $side*3/4, $height/2, $side/4, $height/2, $levels ),
'</g></svg>';