01229nam a22001817a 450000500170000000800410001702200160005810000260007424500560010026000660015630000140022244000610023650500650029752005510036265000590091370000250097285600500099720240409080602.0240409b        |||||||| |||| 00| 0 eng d  a0025-570X    aGoldberg, Timothy E.   aLimits of Golden Constructions  b(Journal Article)  aPhiladelphia, PA b:Taylor & Francis Group c, September 2023  a399-412p.  aMathematics Magazine vVolume 96: Number 4, October 2023  a***______{For Hard Copy, Please visit Library.}________***

  aAbstract: A golden rectangle is characterized by the fact that if an inscribed square is removed from one end, then the remaining rectangle is similar to the original one. By iterating this process of removing a square, one obtains an infinite sequence of nested golden rectangles which converges to a point. One can construct other sequences of rectangles by starting from arbitrary, not necessarily golden, rectangles. The goal of this paper is to analyze the behavior of these sequences, primarily by modeling the process using linear algebra.  aGolden Constructions| Golden Algebra| Parametrizations  aWilson, Leigha Myers  uhttps://doi.org/10.1080/0025570X.2023.2231830