Image to build a huge spherical shell made of semitransparent glass, and to cover the internal part with a reflecting material.
In such structure some light can enter, and an observer inside it (e.g. located at the center of the sphere) could be able to see the reflections of himself on the internal side of the shell.
Let us suppose, additionally, that the space surrounding that structure is virtually empty, in such a way that there is not much overlap between the internal and the external reflections on the surface of the mirror.
What would an observer see inside such spherical mirror?
I tried to approach this problem with elementary Euclidean tools, but I struggle to find any reasonable answer.
Sorry for the naivety, and thanks for your suggestions!