Mirrorlamp for indirect light

Im a big fan of indirect light. So when I looked at my existing main lampshade I had an idea to make it more indirect. Under the light bulb you can place mirror tiles which should spread the light out to the ceiling. You have to fit the bulb socket to your lamp and the angle of the tiles could also be adjusted to you room size.

Update:
I reworked the idea now and designed a sleeve which is screwed around the lamp socket and bracket which clamps down a round mirror of 20cm diameter. The whol