Golden_section_tutorial.pdf

Divine proportion the easy way - golden section Photoshop plugin

How to get the divine proportion/golden section into your composition

Now you can instantly draw the golden sections, or other divine proportions, as an aid to composition. This plugin can

draw fibonacci sequences such as the golden sections , golden spiral and the golden triangles . In addition it also

can draw the harmonious triangles and the rule of thirds - based on composition through identity. The best way to

use the plugin is to output the drawing to a transparent top layer you can move around for cropping.

Power Retouche Photoshop plug-ins are also for Paint Shop Pro, Corel Draw, Illustrator, Fireworks and other

graphic software or photo software (Mac & Win) see list

Golden Section plugin - Tutorial

Benefits

of the Golden

Section plugin

Draws the fibonacci sequences: Golden Section, Golden Spiral and Golden Triangles.

Draws the two common harmonies: Rule of Thirds and Harmonic Triangles.

Freely adjust the rectangle to any size within the image boundaries.

Rotate or flip the divisions any way you like.

Tutorial

Tutorial as pdf

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The Golden Section plugin works with these image modes (Windows and Mac)...

8 & 16 bit / channel: RGB, CMYK, Grayscale, Lab, Duotone, Multichannel.

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Products overview

Controls

This is the Golden Section plug-ins control panel.

Click on the photo or the links to the right to see the

plugin at full size. The filter has four groups of controls:

See Windows plugin

See Mac plugin

1. Golden divisions

2. Harmonic divisions

3. Size (change the size of the rectangle)

4. Line thickness and darkness

Download Win plug-ins

Download Mac plug-ins

Download tutorials

Examples -

golden section,

golden

triangles,

golden spiral,

harmonious

triangles

The Golden Section plugin

is the easiest and fastest

way to divide your image

into divine proportions for

harmonious compositions

Use of filter

Transparent

layer

The best way to use the filter is to create a transparent layer on the image you want to edit. In Photoshop you do this with

Shift-Ctl-N. Its color should be None, which is transparent.

To get a resizable transparent golden section in Photoshop...

1. First create a new empty layer in Photoshop.

2. In the plugin draw the sections or divisions you want onto this transparent layer filling the entire image.

3. apply.

4. In Photoshop, with the golden section layer still active, select 'Free Transform' from the menu 'Edit' to resize the golden

section and move it around the image.

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Divine proportion the easy way - golden section Photoshop plugin

What are the Divine Proportions?

Golden sections

The divine proportions and the golden sections are two expressions for the same thing. Basically it

is the division of a line in two sections, where the ratio between the smallest section and the largest

section is identical to the ratio between the largest section and the entire length of the line. In other

words A/B = B/(A+B). The ratio is about 1/1.618.

One interesting consequence of this ratio is that if you have a rectangle where the sides have the

golden ratio, then you can divide the rectangle into a square and a rectangle, where the new rectangle

also has the golden ratio between its sides. This can go on ad infinitum and is known as golden spiral

sections .

You can use this to construct an equiangular spiral, known as the golden spiral , where the size of the

revolutions grow with the golden ratio.

If you want a more dynamic composition than the simple golden sections, then you can construct

golden triangles as shown in the illustration.

Below you will see an example of the harmonious triangles. If your image has the divine proportion,

then golden triangles and harmonious triangles will be identical.

Harmonious

divisions

Harmonious divisions rely on the principle of similarity.

The most common is the rule of thirds where you simply divide a line into three equal parts. This is

often misnamed as the golden section.

Another harmonious division is the division of a rectangle into equiangular harmonious triangles

based on the diagonal. When the proportions of the rectangle are identical to the golden proportions,

then the harmonious triangles will of course be identical to the golden triangles.

Fibonacci

sequence

Leonard Fibonacci discovered that if you have a sequence of numbers beginning with 1,1, where the next number in line is

the sum of the previous two, then the sequence will progress towards a more and more exact representation of the golden

ratio. The fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc.

Oddly enough nature tends to organize growth and limbs according to this sequence. F.ex. the ratio between the length of

limbs of your fingers is the golden ratio. The ratio between the length of your nose and the distance from the bottom of the

chin to the bottom of the nose is the golden ratio. The spiral growth of crustaceans follows the golden spiral. The divine

proportions are an in-built (or in-grained) aesthetic parameter we judge beauty by.

The plug-ins four main control groups

Golden

Sections

Here you check which divisions you want and also if you want to flip

or rotate the drawing.

Flip and rotate here will also apply to the harmonious divisions.

Harmonious

divisions

The most common harmonious divisions, that do not follow the

golden sections, are the rule of thirds and harmonic triangles.

Size

Checking Size enables you to define a rectangle within the limits of

the image. This is useful if you need to crop the image to a specific

size and want to have some help.

The buttons let you set height from a specified width or width from a

specified height so that the size is the golden ratio.

In each case you have two buttons to create either a landscape or

portrait format rectangle from a given side.

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Divine proportion the easy way - golden section Photoshop plugin

Line

Line lets you set line thickness and line darkness. If you have a large

image and have to downscale it, then a a line that's only one pixel

may become invisible. You can't use colored lines, but can change it

from black to white through any gray. You will rarely want to thicken

the frame, but the option is there.

A few examples

Golden triangle

in close ups

The golden triangles are very useful for creating dynamic close

ups where the diagonal balances the two angles.

Rotated golden

triangles

Here the photographer composed along the upward left diagonal, but the upwards right motion in the posture does not

gather the desired momentum from the golden triangles. We suggest the following crop:

Golden spiral

for dynamic

motion

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Divine proportion the easy way - golden section Photoshop plugin

Here the golden triangles balance the diagonal and the golden spiral enforces the motion upwards right by placing focus on

the dramatic point: the index finger pushing up the chin while at the same time taking the motion from the hand entering at

the lower right corner.

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