Mandalas

I started using a new building block that imparts a circular quality that I find appealing:

$r=sqrt(pow($x,2)+pow($y,2));

When I am using this cosine function the details become amazing:

$cosXY=cos($x*$y);

So why not put them together?

$eq=round( log($r,$i) * $cosXY );

Next up we'll take the natural logarithm of $r*$i and multiply that by $r squared:

$eq=round( log($r,$i) * $r2 );

This next image illustrates some new features. First I have the molulos listed in the colors that they represent. And the -r after the 'modulo' indicates that the modulo color scheme is weighted high to low (mod 8 over mod 7 over mod 6, etc). When you see -n it is normal (mod 2 over mod 3, etc). Also notice that if a certain modulo is not used it's number will not print.

This one is amazing. I may have to post a series of this just because.

$eq=round( cos($r*$i)*sqrt($r)*$i );


This one uses the same logarithmic function and multiplies that by the inverse of the square root of a pair of common building block equations:

$cosYi=cos($y*$i); $cosXi=cos($x*$i);
$eq=round( log($r,$i) * (1/sqrt($cosYi*$cosXi)) );


My next post will have some chose mandalas to view!