FANG

Subdividing space according to the FANG

Subdividing space according to the FANG

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.

FANG Report I cover

FANG Report I cover

The two-dimensional equivalent of the FANG would be the Amman bars.