The primitive rhombohedron is a parallelepiped whose faces are all 60º rhombi, here with a very thin outline:
Inside this rhombohedron lives an interesting minimal surface:
This surface belongs to a special family within the centro-symmetric locus CS of TMPS4 that can be regenerated from a 3-catenoidal nodal limit. Below is a view that is a little closer to this nodal limit, this time over a hexagonal torus.
These surfaces also have rhombic torus rotational half-turn quotients, by a horizontal line passing through in between the smaller catenoidal necks:
Interestingly, the catenoidal necks can move:
This is the simplest instance of an Adler-Moser resonance in the case of embedded minimal surfaces. Details will follow.
