Multidimensional "Paperfolding" Structures - Three and Four Dimensions
Shelomo Izhaq Ben-Abraham, Dvir Flom, R. Richman, D. Shapira · Acta Physica Polonica A · 2014
We recapitulate our previously developed recursive algorithm for creating paperfolding structures in arbitrary dimensions.Here we explain and apply it specically to three and four dimensions.We visualize the results by suitable projections.We also explicitly enumerate the number of folds in the rst four generations of the recursion.We conjecture (without proof ) that the Fourier spectrum of the structures is pure point (the Bragg peaks).