Just today, this appeared in my YouTube subscription:
(image from linked video)
It is called "objects of intersection." A search of these terms is not particularly illuminating, but the video covers the concept quite well, in my opinion.
I have personally used a similar technique in the past to create pieces of "art" using text. This is generally called ambigrams and is indeed the result of two to three objects of intersection.
The above video shows the Fusion 360 sequence involved in creating an ambigram. Image below is a screen capture from the linked video.
One can perform these creations using any 3D modeling software that supports Boolean intersections, although some that do not can be manipulated to accomplish the same result. For example, Fusion 360 (free, hobbyist version) supports this type of creation, while OpenSCAD (free, multi-platform) requires creative coding. Tinkercad (web based, free) does not explicitly support Boolean intersection. It's possible to use the subtraction feature on multiple copies to accomplish the objective.
To address the question in the comment regarding what genre of art should be assigned to this type of work, I refer to Types Of Everything. The linked page suggests these types of art as genres:
- abstract art
- folk art
- art nouveau
If the list is an accurate representation of existing genres, one could consider that Intersection of Objects is a craft, not an art.