Yeah, there's a phenomena known as the Golden Ratio; it's actually represented as ϕ (phi), not π (pi), and is about 1.6. It's been kicking around for a few hundred years, has been the basis for a lot of architecture and art. There's been a kind of historic tendency to quote beautiful things in nature as subscribing to the Golden Ratio too -- namely humans and mollusc shells -- but it's actually a bit of a myth.
The "sameyness" in celebrities is better described by something called koinophilia, which is a tendency for species (including ours) to prefer mates with features that are "average". It's got to do with natural selection, since unusual physical characteristics tend to be indicative of a potentially undesirable genetic variance. It's an observed recorded phenomena that people of both sexes tend to find a young, average female face the most attractive out of a line-up, and that "composite" faces (photo-morphs of multiple different faces overlaid on-top of each other to even out differences) are generally more attractive than individual faces.
It's kinda ironic when you think about it. What we consider "beautiful" is, in fact, biologically average for our species.
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