Uffizi Gallery, Florence, Op Art, Geometry Online Education

Titian or Tiziano: Sacred and Profane Love and Golden Rectangle, Droste Effect, HTML5 Animation for iPad and Nexus

Successive Golden Rectangles dividing a Golden Rectangle into squares (logarithmic spiral known as the golden spiral)


Sacred and Profane Love by Titian
Sacred and Profane Love, also called Venus and the Bride, is an oil painting by Titian, painted circa 1514. The painting was commissioned by Niccolò Aurelio, a secretary to the Venetian Council of Ten to celebrate his marriage to a young widow, Laura Bagarotto. It supposedly depicts the bride dressed in white, sitting beside Cupid and being assisted by Venus in person.

Titian
Tiziano Vecelli or Tiziano Vecellio (c. 1488/1490 – 1576 better known as Titian) was an Italian painter, the most important member of the 16th-century Venetian school. Source: Wikipedia, Titian.

Golden rectangle
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.

Droste Effect
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. Source: Wikipedia, Droste Effect.
 

Titian or Tiziano: Sacred and Profane Love, HTML5 Animation for iPad and Nexus