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Posts tagged 'jo-niemeyer'

GC-04.03 — Jo Niemeyer's Three Equal Leaning Segments cB2: y**2 + (x - 1)**2 - 4 = 0 cB3: (x - 1/2)**2 + (y - sqrt(3)/2)**2 - 4 = 0 L: x = 0 Golden major A1A2 = sqrt(3) Golden minor A2A3 = (-sqrt(3) + sqrt(15))/2 B2 = (1, 0) B3 = (1/2, sqrt(3)/2) B1 = (2, 0) A1 = (0, 0) A2 = (0, sqrt(3)) A3 = (0, sqrt(3)/2 + sqrt(15)/2) B2 B3 B1 A1 A2 A3

GC-04.03 · Jo Niemeyer’s Three Equal Leaning Segments

Place segment A1B1 perpendicular to line L at A1, lean equal segment B2A2 from midpoint B2 of A1B1 onto L, and lean a third equal segment B3A3 from midpoint B3 of B2A2 onto L. Then A2 divides A1A3 in the golden ratio: \(|A1A2|/|A2A3| = \phi\).
04-right-and-345 field-q-sqrt3-phi jo-niemeyer
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