# Joe Fields

Professor of Mathematics

Southern Connecticut State University

New Haven, Connecticut, USA

Joe Fields is primarily a mathematician working in Discrete math. His artwork is typically large format installations and sculptures. He enjoys welding, woodworking and long walks on the beach.

$\Lambda_3 = FCC$

100 x 125 x 125 cm

paper lanterns, wood, paint

2017

The laminated lattices are a family of very dense lattice packings that can be constructed in any real $n$-space. In 3 dimensions, $\Lamda_3$ is constructed using layers that are made up of $\Lambda_2$ (the hexagonal close-packing in the plane). This work illustrates that a simple change of coordinates shows the equivalence of $\Lambda_3$ and the face-centered cubic lattice (FCC).