Formulas are presented for the transformation of three-dimensional shuffle patterns into the two-dimensional domain. The results are applied to the transformation of the interstage patterns of three-dimensional multistage interconnection networks into their isomorphic two-dimensional patterns (and vice versa). This paper explains material in J. Giglmayr, “Classification scheme for 3-D shuffle interconnection patterns,” Appl. Opt. 28, 3120–3128 (1989) and corrects some algebraic results.
© 1992 Optical Society of America
Original Manuscript: September 26, 1990
Published: April 10, 1992
Josef Gigimayr, "Transformation of three-dimensional shuffle patterns," Appl. Opt. 31, 1709-1716 (1992)