Limits of Golden Constructions (Journal Article)
- Philadelphia, PA :Taylor & Francis Group , September 2023
- 399-412p.
- Mathematics Magazine Volume 96: Number 4, October 2023 .
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Abstract: 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.
0025-570X
Golden Constructions| Golden Algebra| Parametrizations