I have interests in engineering applied to STEM didactics. Therefore, I am involved in creating objects that have a geometric background with educational math content. They have to be beautiful in order to be appealing to everyone.
The equally-linked 6L tetrahedron is conformed by the classical
elements as 4 vertices, 6 edges, 4 faces and 1 cell: all of them
are equally linked 6 times with bars (each one of 3 elements)
either linear, circular or triangular. The equally linked property
can be extended (3L, 7L tetrahedrons...). There is, "Art and Math
Using an Equally Linked Tetrahedron", a short paper with
presentation by Bridges 2019.
The present sculpture is a mockup, most bars are shown; in fact, there is a beautiful starry shape on the inside of the tetrahedron.
Hexaract is a 6-cube. Transparent plastic in the outside and small wooden cubes in the inside with steel rods between them. Symmetries everywhere.