Abstract: This paper introduces formal algebraic methods for the design of three-dimensional (3D) lattice circuits that were discussed in the first part of my article. New regular 3D logic circuits are introduced, where the application of ternary decompositions into regular three-dimensional lattice circuits is shown. Lattice circuits represent an important class of regular logic circuits that allow for local interconnections, predictable timing, fast fault localization, and self-repair. The introduced design methods can be used for the automatic design of logic circuits in 3D for applications and future technologies that require such topologies.
Keywords: Discrete spectral transforms, electronic circuits, galois algebra, galois field, three-dimensional lattice logic circuits, 3D joining operations.