Pickover referred to this point as 'the Eye of God'. Diagonal lines drawn between the first two orders of embedded golden rectangles will define the intersection point of the diagonals of all the embedded golden rectangles Clifford A. Square addition or removal can be repeated infinitely, in which case corresponding corners of the squares form an infinite sequence of points on the golden spiral, the unique logarithmic spiral with this property.

Use that line as the radius to draw an arc that defines the height of the rectangle.Ī distinctive feature of this shape is that when a square section is added-or removed-the product is another golden rectangle, having the same aspect ratio as the first.Draw a line from the midpoint of one side of the square to an opposite corner.Construction Ī golden rectangle can be constructed with only a straightedge and compass in four simple steps:

Owing to the Pythagorean theorem, the diagonal dividing one half of a square equals the radius of a circle whose outermost point is also the corner of a golden rectangle added to the square. A method to construct a golden rectangle.

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