bare-xhigh/gpt-5.6-terra / tier-2-offset-handle-mug

```openscad
$fn = 128;

cup_outer_diameter = 80;
cup_inner_diameter = 70;
cup_height = 90;
bottom_thickness = 6;

cup_outer_radius = cup_outer_diameter / 2;
cup_inner_radius = cup_inner_diameter / 2;

handle_opening_height = 30;
handle_opening_width = 25;
handle_wall_thickness = 5;
handle_thickness = 12;

handle_center_z = cup_height / 2;

handle_inner_radius = handle_opening_height / 2;
handle_inner_left_x = cup_outer_radius;
handle_center_x = handle_inner_left_x + (handle_opening_width - handle_inner_radius);

handle_outer_radius = handle_inner_radius + handle_wall_thickness;
handle_outer_left_x = handle_inner_left_x - handle_wall_thickness;


module right_half_disk(cx, cz, r) {
    intersection() {
        translate([cx, cz])
            circle(r = r);

        translate([cx, cz - r])
            square([r, 2 * r]);
    }
}


module d_profile(left_x, center_x, center_z, radius) {
    union() {
        translate([left_x, center_z - radius])
            square([center_x - left_x, 2 * radius]);

        right_half_disk(center_x, center_z, radius);
    }
}


module mug_body() {
    difference() {
        cylinder(r = cup_outer_radius, h = cup_height);

        translate([0, 0, bottom_thickness])
            cylinder(
                r = cup_inner_radius,
                h = cup_height - bottom_thickness + 0.01
            );
    }
}


module handle() {
    rotate([90, 0, 0])
        linear_extrude(
            height = handle_thickness,
            center = true,
            convexity = 10
        )
        difference() {
            d_profile(
                handle_outer_left_x,
                handle_center_x,
                handle_center_z,
                handle_outer_radius
            );

            d_profile(
                handle_inner_left_x,
                handle_center_x,
                handle_center_z,
                handle_inner_radius
            );
        }
}


union() {
    mug_body();
    handle();
}
```