GOLDEN MEAN EXPLAINED AND
ADAPTED
Finding a satisfactory format for a square
canvas
You will recall my explanation of how the 'golden mean'
is constructed
I intend to use this golden rectangle as the basis for
the major composition elements in my painting. First I will extend
the diagonal of the original square to meet the extended vertical of
the right side of the rectangle as shown in Fig
5
From this point of intersection I draw a square that
will encompass and center the original square (here shaded) as in
Fig 6. Thus I have established the proportions of my smaller
square within the larger.
Fig 7 what is the proportion of x to y? Realizing
the shaded triangle is a right angled triangle whose
hypotenuse is the square root of the sum of the other two
sides then ...
Fig 8 Since my canvas is 50" (126cm) square then
after finding the center using my diagonals I measure approx
11" (27cm) to the right to find the vertical line and point
'B'. |
Thus
we have our square within a square. This, as you can see, is
essentially the 'design' standard I used for the paintings shown
below.
Fig 9 The 'Golden Rectangle' can be further
divided into smaller 'golden rectangles' and arcs of circles added
to make a 'Golden Spiral' similar to those you see in pine cones
etc.
For
the unfinished painting on the right a few more strategic secondary
accents were aligned with these secondary golden rectangles.
STUDENT ACTIVITY:Draw your own 'golden spiral'
beginning with a unit (a-d = 6" or 250mm) and find out the
proportions for a 'golden triangle'. Allow
40min.