I'm exploring triply periodic but non-minimal surfaces. https://codeberg.org/okaleniuk/faitps

Triply periodic minimal surfaces are the golden standard in thermal management, acoustics, and even medical applications. But minimality itself doesn't contribute much to practicality. We use them because they are simply studied better than the non-minimal surfaces.

So I'm studying the non-minimals. They are much more governable, what I link to is a demo of a surface builder with two levels of control. Next, they are conjugatable including conjugations with different period of self (that will be the following paper), they generalize nicely to non-periodic or partially periodic surfaces, and they work in other space configurations. E. g. I'm now playing with bi-periodic curves that cover the 2D space with self-replicating hexagons.

If all that I'm experimenting on today in 2D will turn out well in 3D too, we'll have a whole new direction in implicit modeling.