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File:Golden rectangle segmented.svg

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Summary

Description
English: The parent rectangle and the scaled copies have areas in ratios φ4 : φ2 : 1, where φ satisfies φ2 − φ − 1 = 0. The segments of the diagonal have lengths equal to elements of quartic number field K = Q(t), where t satisfies t4 − 5t2 + 5 = 0.
See also diagrams Golden pentatonic scales and Pentagon segments.
Golden pentatonic scales
Pentagon segments
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Author Zilverspreeuw
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Powers of φ in a golden rectangle with two scaled copies along the diagonal.

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17 September 2024

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Date/TimeThumbnailDimensionsUserComment
current09:47, 17 September 2024Thumbnail for version as of 09:47, 17 September 20241,600 × 1,044 (1 KB)ZilverspreeuwUploaded own work with UploadWizard

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