Though it should become better and better known in these recent times that many occurrences of the golden section must be considered with the greatest precaution (see Huylebrouck, 2004), some still hold on to their faith in the “divine” proportion. To Underwood Dudley, the simplicity of the golden proportion may be a reason for its alleged frequent occurrence (see Dudley, 2001):

 “It is an instance of Richard Guy's Law of Small Numbers, that there are not enough small integers available for the many tasks assigned to them. The origin of f  is x2 = x + 1, a quadratic equation with very small integer coefficients. […] If f were a root of 25x2 = 26x + 24, then I would be surprised to encounter it in more than one place, but as it is I am no more astonished than I am that there are three dimensions, three ships of Christopher Columbus, three subjects in the trivium, three degrees of burns […]. Three comes up a lot, and so does x2 = x + 1.”

 So, let us take up the challenge, and create more “golden” examples. We start with Euclid’s subdivision of a line, tear the pieces apart, and scramble the remaining white parts slightly (arbitrarily would have been better, but then the drawings may be harder to track). These subdivisions will be interpreted as transparent pixels, as holes, as free time on an agenda, or as nonsense in a scientific paper.