It's not a line I'd like to pursue but also as a sign of respect.

Ovation!

NOTE: reference

Paper e.g. A4
Uses approx golden ratio to create most beutiful, most functional paper size.

TV e.g. 1280x800 HD
Gives beautiful picture by using golden ratio 1.6

The golden rectangle
Remember your high school maths, the fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...
The next number is the sum of the previous two numbers.

We can also draw a rectangle with the fibonacci number's ratio. From this rectangle we can then derive interesting shapes. First colour in two 1x1 squares on a piece of squared paper:
1. Then draw a 2x2 square on top of this one:
2. Then draw a 3x3 square to the right of these:
3. Then draw a 5x5 square under these:
4. Then draw a 8x8 square to the left of these:
5. Then draw a 13x13 square on top of these:
6. We could go on like this forever, making bigger and bigger rectangles in which the ratio of length/ width gets closer and closer to the Fibonacci number.


More interesting shape from the golden rectangle
Let's try making a more interesting shape, going back to our first 1x1 squares and using a compass
1. place the compass tip on the top right hand corner of the right hand square and draw a semi circle:
2. Then place the compass tip on the bottom left corner of the 2x2 square and draw an arc:
3. Then place the compass tip on the left hand, top corner of the 3x3 square and do the same:
4. Do the same for the other three squares to obtain:


This shape is widely found in nature, can you find any other examples? Yes, the seashells.