Cube sphere intersection test?

Question

What\'s the easiest way of doing this? I fail at math, and i found pretty complicate formulaes over the internet... im hoping if theres some simpler one?

I just need

Answer 1

// Assume clampTo is a new value. Obviously, don't move the sphere
closestPointBox = sphere.center.clampTo(box)

isIntersecting = sphere.center.distanceTo(closestPointBox) < sphere.radius

Everything else is just optimization.

Wow, -2. Tough crowd. Ok, here's the three.js implementation that basically says the same thing word for word. https://github.com/mrdoob/three.js/blob/dev/src/math/Box3.js

intersectsSphere: ( function () {

    var closestPoint;

    return function intersectsSphere( sphere ) {

        if ( closestPoint === undefined ) closestPoint = new Vector3();

        // Find the point on the AABB closest to the sphere center.
        this.clampPoint( sphere.center, closestPoint );

        // If that point is inside the sphere, the AABB and sphere intersect.
        return closestPoint.distanceToSquared( sphere.center ) <= ( sphere.radius * sphere.radius );

    };

} )(),