Posts tagged 'elliot-mcgucken'

GC-06.02 · Elliot McGucken & Thanos Kalogerakis’s Equal Tangent Circles

Let equal unit circles cB and cD touch externally at C, and let AF be the diameter of cB perpendicular to line of centers BD. Secant FD cuts cD at H and I such that \(|HI|/|FH| = |FI|/|HI| = |FI|/|AF| = \phi\).

GC-03.04 · Tran Quang Hung & Elliot McGucken’s 3×3 Grid Circle

In a \(3 \times 3\) square grid S1AS3S4 centered at O, let C be the upper-right vertex of the central grid cell, A the outer upper-right corner, and T the adjacent trisection vertex on the top edge. Circle cOT cuts diagonal segment CA at B such that \(|CB|/|BA| = \phi\).

GC-06.04 · Tran Quang Hung & Elliot McGucken’s Three Tangent Circles

Let congruent unit circles cA, cB, cC be mutually externally tangent at D, E, F, and let circle cO pass through their centers A, B, C. Line DF intersects cO at J and G to form a 4-point golden chain \(|DF|/|FG| = |DG|/|DF| = \phi\).