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.