Golden rectangle zoom step by step


Animated GIF

Animated GIF

First step : construct a square (poly1) a a point E. Define phi (the golden ratio) and this sequence in blue.

Step 2

Create F=A + phi (B - A) and G=D + phi (B - A) to construct the red diagonals and their intersection H. When E is in H the puzzle is perfect. Create the circle of center I going through H. Create a slider a =0...1 for the animation. Finally redefine E as : Rotate(H,a*360°,I) to make it rotate around I on the circle. Animate a.

More fun.

Instead of poly1, in the sequence you can put a list of things like {poly1, arc} where arc is the quarter of the circle.