Hahahahaha, that is a good one! Well it'll be combination with not so perfect glass, since perfect glass will not reflect anything :) But yeh indeed, the face being the non-metallic mirror, or the replacement of the silver/alu usually at the back of the glass of the mirror, is a valid one...although it'll be the imperfection of the glass causing the reflection I would say. But most people will probably not have an argument against the face being the reflector, so they may be convinced with such argument.
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So what is the refractive index of perfect glass?
I would say absolute zero! But not on the edges though.
if n=0 then c=infinity.
I do believe in infinity! Not only in theory but also in practice. At least time is infinite assuming the concept of time does exists :) If we can make the perfect glass, well, not sure but maybe we can :)
But indeed, when we assume we work with our current state of technology and capabilities, then the refraction index of glass is not zero and at enough depth of the glass, it can show a reflection of ourself when we look into the glass.
But in virtual reality world, we can make the perfect glass and I predict at some point in time (sooner than later) we can make virtual reality world giving us the same emotions and feel as if we are in the real world. In such worlds I would state the same as before; Perfect glass will not reflect anything (except the edges, but that doesn't create a mirror and it diffracts the rays to all sort of directions) :)