
Video Tutorial 





Use of the golden section Photoshop plugin 

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


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 part. 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. 



Midpoints 
Diagonals offer a nice compositional grid. 

The inscribed A and V. 

The inscribed > and < . 



Fibonacci
sequence 
Leonard Fibonacci discovered
that if you have a sequence of numbers beginning with 0,1, 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 0, 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 inbuilt
(or ingrained) aesthetic parameter we judge beauty by. 


The golden section plugins 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 and midpoints 
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.
If you leftclick the preview, the upper left corner of the rectangle will be moved to where you click. To reset the position to the top left corner of the image, click Pos 0. 

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. 


Classic examples  Vermeer 


Vermeer used the basic golden sections to arrange the masses.

He used the golden triangles to create a pyramid containing
the two persons, thus bringing them into relationship

By contructing the focalpoint of a golden spiral, he located
the main dynamic focus of the composition: the girls hands
and the glass of wine.

In fact Vermeer subdivided minutely and found the exact space
occupied by the glass and the edges of the hands holding it. 
Vermeer also used the symmetrical focalpoint of the rotated
spiral.

It exactly locates the placement of the open window with the
faint reflection of a woman outside.

Vermeer also divided the picture into two halfs along the
vertical centre. He then divided each half into the golden
sections.

He did the same with the horisontal halfs. The horisontal
middle is the mans eyehight.

Of course there are other compositional principles, that have
been in use for centuries. Diagonals and diagonals to midpoints
are classics.




Aids and inspiration for composing


Golden triangle in close ups

One
does not have to be as excacting as Vermeer to find inspiration
in the golden sections.
The golden triangles are very useful for creating dynamic images
where the diagonal balances the two angles. 

Rotated
golden triangles 


Here the photographer composed along the upward
left diagonal. The two golden triangles create a dynamic motion
in the opposite direction balancing this. One could also use
the following crop: 


Golden
spiral for dynamic motion 


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. 




