Some Golden Geometry

Here are instructions for constructing the Golden Rectangle, a rectangle whose sides measure 1 and 1.618...

Construct a square.

Bisect the square.

Draw a line from one end of the bisecting line to one of the opposite corners. Extend the baseline of the square.

Using the diagonal line as the radius, drop an arc from the corner of the square down to the baseline.

Draw a line from the point of intersection of the arc and the baseline, perpendicular to the baseline. Extend the top edge of the square to meet this line and form a rectangle.

This rectangle is referred to as the Golden Rectangle

On to the The Golden Spiral or to the Penrose Tilings

Original webpage by Rashomon