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 scalesPentagon segments
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