Equilateral Completion in Floretion Triangular Coordinates: Locality, Product Points, and Reflection Symmetry
The study investigates equilateral triangles formed by order-n floretion base vectors using triangular coordinates. It enumerates these triangles, distinguishing between local and nonlocal types, and analyzes properties like multiplication generation and symmetry. The research connects geometric counts to underlying algebraic structures within the floretion group.