// Basis of a three point curved tiling from the Alhambra
// scruss - 2016 - wtfpl (srsly)

module alh(r) {
    // a single repeat
    difference() {
        union() {
            // 3 circles at 120°, plus a small one to fill centre
            circle(r/2);
            for (i=[0:2]) {
                rotate(i*120)translate([0,r])circle(r);
            }
        }
        // subtract three circles angled outward a bit
        for (i=[0:2]) {
            rotate(i*120)translate([-r*sqrt(3),0])circle(r);
        }
    }
}

r=50;   // base size of circles; Inkscape imports as px
$fn=12; // *must* be divisible by 3 for non-horrible results
        // useful values: 12 (fast), 24, 36, 48, 60 (v slow)

// produce a 10x10 hexagonal grid of elements
for (x=[0:9]) {
    for (y=[0:9]) {
        translate([((y%2)?r*sqrt(3):0)+x*2*r*sqrt(3),y*3*r])alh(r);
    }
}