Florence Cathedral, The Duomo or Dome Ceiling and Golden Rectangles
Successive Golden Rectangles dividing a Golden Rectangle into squares.
Florence Cathedral: The Dome, Duomo
The Basilica di Santa Maria del Fiore is the main church of Florence, Italy. The Duomo was begun in 1296 in the Gothic style to the design of Arnolfo di Cambio and completed structurally in 1436 with the dome engineered by Filippo Brunelleschi.
Grand Duke Cosimo I de' Medici decided to have the dome painted with a representation of The Last Judgment. This enormous work, 3,600 metres² (38 750 ft²) of painted surface, was started in 1568 by Giorgio Vasari and Federico Zuccari
and would last till 1579.. Source: Wikipedia,
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.