I liked this exercise it was fun and the timed aspect of it gave us some pressure to work and produce something to.

insert publication photos

During the session we were given a presentation on some type methods, these were the Fibonacci sequence and golden ratio.

**Fibonacci Sequence**

Where all paper sizes are derived from. Forms structure.Used in fine art paintings,publications, all sorts of things.

The Fibonacci Sequence is the series of numbers:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

The next number is found by adding up the two numbers before it.

The 2 is found by adding the two numbers before it (1+1)

Similarly, the 3 is found by adding the two numbers before it (1+2),

And the 5 is (2+3),

and so on!

Example: the next number in the sequence above would be 21+34 = 55

A longer list of the fibonacci sequence would look like this:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811

**Golden Ratio**

The perfect balance . 1.62 is the golden number.

Basic caluculations to finding the golden section

1.62 divided by page width

if the page is 56 cm divide by 1.62 = 34.56 (35)

The golden ratio is also called the golden section or golden mean.Other names include extreme and mean ratio, medial section, divine proportion, divine section, golden proportion, golden cut, golden number, and mean of Phidias.

In mathmatics and the arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal the ratio of the larger quantity to the smaller one. The figure above illustrates the geometric relationship. Expressed algebraically:

where the Greek letter phi () represents the golden ratio. Its value is:

This can be applied to The Golden Rectangle. It can be subdivided into squares and additional smaller Golden Rectangles, again a process that seemingly could go on indefinitely. In the figure below the figures 1, 2, 3, 4, and 5 are all squares. In each square a quarter circle can be drawn in such a way that a spiral is created (see figure further below on this page). The spiral is called, surprisingly, the "Golden Spiral"!

**Golden Spiral**

When using the fibonacci sequence and golden ratio to make a custom sized paper a spiral is created this is called the golden spiral

This can also be seen used in art

But it also used within many applications of graphic design. Here it has been used within web design:

**TASK**

Look into the Fibonacci sequence more and get a better understanding of it

Create own custom sized paper, using the Fibonacci sequence. Start with a rectangle not square.

For the task i have done the fibonacci sequence using a square and a rectangle to show the differences in the outcome for it.

Here i have started the sequence by using a 20 x 20 mm square.

The sequence above is using a rectangle that is 20 x 30mm

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