Euler Numbers and My Light-Interface System Concept: Invisible/Holographic " Hyper-Topology"

( This is an ongoing investigation, applying the principles of topology to my Light-Interface System concepts)

What is the Euler Characteristic for a sphere within a sphere, or any generally deformed nested solid within a solid? And what does this have to say when applied to a puppet Light-Interface " hole" in motion and deformable?

What does it say about a nested object with two " holes"?

A sphere within a sphere or any other deformable solid within a solid is also a fully rotated donut with its " hole (s)" inside the " hyper-donut" or nested sphere.