Wednesday, May 19, 2010
The eyes of a rectangle
Above is an illustration of our rectangle represented as a shark-shopping cart with a lantern. This concept has been illustrated so many times in design texts that I felt it necessary to distinguish my version from those that have preceded it. I believe this will probably be the authotiative version.
If a line is drawn from one corner of the rectangle to another, then intersected by another line dropped from an opposing corner so as to intersect it at a 90 degree angle, the intersection forms a power spot on that rectangle, which I have marked with a lambda. Four points on the canvas can be found using this method, one lower and one higher on each side. These points are called the eyes of the rectangle.
I am not sure if all the math is really necessary to find these spots. They are neither in the center horizontally nor in the corners of the composition. I figured out intuitively that there were four such spots on my canvas and saw this mathematical explanation many years later.
Many years ago in Rockport, I realized while looking at my work that I had become overly reliant on the power spot or eye idea in design, as I looked around my gallery every painting seemed to proceed from my nailing that power spot with a tree or the house or something. I made an effort to get away from that time honored design (Loraine used it extensively) as too old timey. I wanted a jazzier look. I began then to arrange patterns of interlocking shapes across my paintings. I still think about those spots but I try not to build my designs from them.