The Calling of St Matthew (1600) by Caravaggio and Golden Rectangles
Successive Golden Rectangles dividing a Golden
Rectangle into squares (logarithmic spiral known as the golden spiral)
Michelangelo Merisi da Caravaggio (1571 - 1610) was an Italian artist active in Rome, Naples, Malta, and Sicily between 1592 and 1610. His paintings, which combine a realistic observation of the human state, both physical and emotional, with a dramatic use of lighting, had a formative influence on Baroque painting.
The Calling of St Matthew
The Calling of Saint Matthew is a masterpiece by Michelangelo Merisi da Caravaggio, depicting the moment at which Jesus Christ inspires Matthew to follow him. It was completed in 1599-1600 for the Contarelli Chapel in the church of the French congregation, San Luigi dei Francesi
in Rome, where it remains today. Source:
Wikipedia, Bacchus (Caravaggio).
A golden rectangle
is a rectangle whose side lengths are in the golden ratio,
one-to-phi, that is, approximately 1:1.618. A distinctive
feature of this shape is that when a square section is
removed, the remainder is another golden rectangle, that is,
with the same proportions as the first. Square removal can
be repeated infinitely, which leads to an approximation of
the golden or Fibonacci spiral.
The Droste effect is a specific kind of recursive picture, one that in heraldry is termed mise en abyme. An image exhibiting the Droste effect depicts a smaller version of itself in a place where a similar picture would realistically be expected to appear. This smaller version then depicts an even smaller version of itself in the same place, and so on. Only in theory could this go on forever; practically, it continues only as long as the resolution of the picture allows, which is relatively short, since each iteration geometrically reduces the picture's size. It is a visual example of a strange loop, a self-referential system of instancing which is the cornerstone of fractal geometry.