###### Titian or Tiziano: Bacchus and Ariadne 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)

Bacchus and Ariadne (1520-23) is an oil painting by Titian. It is one of a cycle of paintings on mythological subjects produced for Alfonso d'Este, the Duke of Ferrara, for the Camerino d'Alabastro - a private room in his palazzo in Ferrara decorated with paintings based on classical texts. In the case of Bacchus and Ariadne, the subject matter was derived from the Roman poets Catullus and Ovid. The painting, considered one of Titian's greatest works, now hangs in the National Gallery in London.

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.

 Home | Geometry | Titian | Golden Rectangles | Great Paintings | Projects | iPad | Nexus | Email | Post a comment