Similarity Submodules and Root Systems in Four Dimensions
Similarity Submodules and Root Systems in Four Dimensions
Abstract Lattices and -modules in Euclidean space possess an infinitude of subsets that are images of the original set under similarity transformation. We classify such self-similar images according to their indices for certain 4D examples that are related to 4D root systems, both crystallographic and non-crystallographic. We encapsulate their statistics …