Hans Walser, [20130501]

The Golden Rectangle in a Square Lattice

1        First Example

1.1      The Golden Rectangle

Fig. 1: Golden Rectangle

1.2      Proof

We use the labeling of Figure 2.

Fig. 2: Labeling

First we have . Since


we get:


Moreover we have:


Hence we have a Golden Rectangle.

2        Second Example

2.1      The Golden Rectangle

Fig. 3: The Golden Rectangle

2.2      Proof

Fig. 4: Labeling

Using the labeling of Figure 4, we get again  and the proof goes according to the first example.