$fn=64;

// --- Parameters ---
hex_radius = 20;      // Outer radius of a single hexagon (center to point)
thickness = 3;        // Thickness of the baseplate
overlap = 0.05;       // Small overlap to ensure a manifold (watertight) mesh

// --- Calculated Values ---
// Distance between centers of adjacent hexagons
center_dist = hex_radius * sqrt(3) - overlap;

// Centroid offset to center the entire configuration at the origin
cx = center_dist * 0.5;
cy = center_dist * sqrt(3) / 6;

// --- Modules ---
module single_hex() {
    // Rotate 30 degrees so the flat sides face the adjacent hexagons
    rotate([0, 0, 30])
        cylinder(h=thickness, r=hex_radius, $fn=6);
}

// --- Main Geometry ---
translate([-cx, -cy, 0]) {
    union() {
        // Bottom-left hex
        single_hex();
        
        // Bottom-right hex
        translate([center_dist, 0, 0])
            single_hex();
        
        // Top hex
        translate([center_dist * 0.5, center_dist * sqrt(3) / 2, 0])
            single_hex();
    }
}