2019
DOI: 10.1155/2019/3149602
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Shrinkage Points of Golden Rectangle, Fibonacci Spirals, and Golden Spirals

Abstract: We investigated the golden rectangle and the related Fibonacci spiral and golden spiral. The coordinates of the shrinkage points of a golden rectangle were derived. Properties of shrinkage points were discussed. Based on these properties, we conduct a comparison study for the Fibonacci spiral and golden spiral. Their similarities and differences were looked into by examining their polar coordinate equations, polar radii, arm-radius angles, and curvatures. The golden spiral has constant arm-radius angle and con… Show more

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Cited by 6 publications
(1 citation statement)
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“…Sandro Botticelli, a pioneer of Italian portraiture, painted the tempera painting on board Annunciation around 1485 [23]. Annunciation is one of the most celebrated artworks in the Robert Lehman Collection and is now preserved in the Metropolitan Museum of Art in New York [24].…”
Section: Golden Ratio In Annunciationmentioning
confidence: 99%
“…Sandro Botticelli, a pioneer of Italian portraiture, painted the tempera painting on board Annunciation around 1485 [23]. Annunciation is one of the most celebrated artworks in the Robert Lehman Collection and is now preserved in the Metropolitan Museum of Art in New York [24].…”
Section: Golden Ratio In Annunciationmentioning
confidence: 99%