If you try to make the next Ecstatica sequel
- Center is c and radius is r.
- Surface Area S = 4πr2
- Volume V = (4/3)*2πr3
Closest point on a sphere
- q is the point.
- d is the vector between c and q.
- q' = q + (||d|| - r / ||d||)*d
- If ||d|| < r then point q is inside the circle.
Intersection of two spheres.
- d is the vector between spheres centers.
- If ||d|| < r1 +r2 then spheres intersect.
A Sphere-Sphere Sweep Test - 1999