FANG - Fivefold Symmetry - All Space Filling - Non-Periodic - Geometry
Einar Thorsteinn (1942 - 2015) dedicated a lot of his works to the exploration of what he called the FANG.
Using Buckminster Fuller´s element of the T-Quanta Module, he researched ways of subdividing space into fivefold symmetric units. Everything is achieved with the use of only this one tetrahedron by applying mirror- and scaling transformations.
In his essay FANG Report I (2004) , Thorsteinn lists properties of these subdivisions and how their vertices, angles, surfaces and volumes relate to each other.
The two-dimensional equivalent of the FANG would be the Amman bars.