Posts tagged 'alexandre-borovik'

GC-03.07 — Bùi Quang Tuân & Alexandre Borovik's Greek Cross & Square cO: x**2 + y**2 - 10 = 0 AC: x - 1 = 0 S1S2: y - sqrt(5) = 0 S4S3: y + sqrt(5) = 0 Golden major BC = -1 + sqrt(5) Golden minor AB = 3 - sqrt(5) X1 = (-1, 3) X2 = (3, 1) X3 = (3, -1) D = (1, -1) X4 = (1, -3) X5 = (-1, -3) X6 = (-1, -1) X7 = (-3, -1) X8 = (-3, 1) X9 = (-1, 1) S1 = (-sqrt(5), sqrt(5)) S2 = (sqrt(5), sqrt(5)) S3 = (sqrt(5), -sqrt(5)) S4 = (-sqrt(5), -sqrt(5)) E = (1, -sqrt(5)) O = (0, 0) A = (1, 3) C = (1, 1) B = (1, sqrt(5)) X1 X2 X3 D X4 X5 X6 X7 X8 X9 S1 S2 S3 S4 E O A C B

GC-03.07 · Bùi Quang Tuân & Alexandre Borovik’s Greek Cross & Square

Inscribe a symmetrical five-square Greek cross CROSS and a concentric axis-aligned square S1S2S3S4 in the same circle cO. Along any inner arm line AC of the cross, the square edge S1S2 cuts AC at B such that \(|BC|/|AB| = \phi\), while \(|BD|/|CD| = \phi\).