How to achieve "hierarchical perspective"?

Questions
, ,
1

This is rather bizarre, but CSS3D has (for lack of a name) “hierarchical perspective”. For example, see this pen:

In the pen, each div has a perspective of 400 which is relative to each div’s parent perspective! The deeps the div, the more pronounced the distortion.

How might we achieve this sort of perspective in Three.js?

2

What’s really interesting is that all the divs still intersect in 3D space!

F.e., here’s one with even more divs: