Double rigid plane tangent to double regid sphere

Question

a problem finding tangent/contact point of two rigid body. First rigid body composed of two spheres. The second one contains two planes united as one rigid body. Is it possible to find tangent points of spheres(two spheres were united as a single shell; first sphere r=21, center = (-23.75, -18, 12 ) and second one r=20, center =(23, -16, 11.5) ) and planes (first plane g(x,y)=0.358x+213 and second plane g(x,y)=-0.341+212.9 where those planes also united as a one rigid body)

There are two rigid bodies. The first one consist of two spheres defined by coordinate system (X,Y,Z uppercase letters) and surface function for the first sphere is f₁(X,Y)=-sqrt(21² - (X + 23.75)² - (Y + 18)²) + 12 for the second one is f₂(X,Y)=-sqrt(20² - (X - 23)² - (Y + 16)²) + 11.5 The second rigid body is composed of two planes defined by its own coordinate system (x,y,z lowercase letters) and surface function g₁(x,y) = 0.358x+213 and g₂(x,y)=-0.341+212.9 The goal is to move first body consists of spheres over the roof like body composed of planes. Here is the link how does it looks like: https://ibb.co/Jdd0fcp

Answer 1

Please send a diagram....................