Why no deep dish wheels any more?

[biggles330d]

I was looking at images of older sports cars and many had classic 'deep dish' wheels, where the wheel hub was much more central to the width of the wheel. It got me wondering if there was a technical reason why the central face of wheels are now much further out and the world haas gone mad on diamond cut / flat faced wheels. Is it suspension geometry, fashion or aerodynamics?

I have wandered what my A110 alpine would look like with a more classic dished wheel, but I assume the hub centres are too far out these days to make that possible without rims that stick out far wider.

Just curious.