Tetrahedron: Four equal-sided triangles each sharing a vertex with two other identical triangles.
A simple tetrahedron always encloses four smaller tetrahedrons and an octahedron. This particular model on the right was used on television to demonstrate the close working relation between people, products, and processes in order to create a profitable business.
These three tetrahedrons form a base for an octahedron as seen here which have been dubbed “tetrahedral-octahedral couplets.”
The ever-so-important five tetrahedral configuration with its five-tetrahedral gap opens discussions about quantum geometries, quantum fluctuations, and imperfectly fitting combinations.
Then a multi-tiered tetrahedron came next.
That is an octahedron within it with the red, black, and blue tape. A fourth color, white can not be easily discerned within this image.
The next image on the right is an icosahedron, a twenty tetrahedral cluster, that imperfectly coheres.
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Please note: This article was begun on May 3, 2018. It has its origins at MIT in 1979.