Successive Golden Rectangles dividing a Golden Rectangle into squares
(logarithmic spiral known as the golden spiral)
Head of a Woman by Leonardo
Year: c. 1508
Type: Oil on canvas
Dimensions: 24.7 cm × 21 cm (9.7 in × 8.3 in)
Location:Galleria Nazionale, Parma
The Head of a Woman (also known as La Scapigliata) is a painting by the Italian Renaissance master Leonardo da Vinci, dating from perhaps around 1500 and housed in the Galleria Nazionale of Parma, Italy.
Wikipedia: Head of a Woman (Leonardo da Vinci)
Leonardo (1452 - 1519, Old Style) was an Italian Renaissance polymath: painter, sculptor, architect, musician, scientist, mathematician, engineer, inventor, anatomist, geologist, cartographer, botanist, and writer. His genius, perhaps more than that of any other figure, epitomized the Renaissance humanist ideal. Leonardo has often been described as the archetype of the Renaissance Man, a man of "unquenchable curiosity" and "feverishly inventive imagination".
Leonardo da Vinci.
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.