Not to take away the brilliance of what is achieved but I think hologram is the wrong word. This is purely about caustics. Amplitude engineering rather than phase. The calculations are just assuming light as particle, not light as wave. A true hologram uses diffraction grating effects and the phase difference from light. There was a very nice explanation on three-blue-brown recently.
Depends if we consider holograms only the specific technique of using phases to encode the information or any general technique that can encode 3D information on a 2D surface.
This solution relies on a physicals height map (in the author's word, a 2.5D surface), whether that counts as a 2D surface I don't know.
(and yes, I also saw the great explanation from 3blue1brown).
https://www.youtube.com/watch?v=EmKQsSDlaa4
I don't think there are any phase effects in the parent attached? Or are there?
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