Uffizi Gallery, Florence, Op Art, Geometry Online Education

Renoir: La loge (The Theater Box) 1874 and Golden Rectangles, Droste Effect, HTML5 Animation for Tablets, iPad and Nexus

 

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

 

La loge (The Theater Box) by Renoir
La loge (The Theater Box) is an 1874 oil painting by Pierre-Auguste Renoir. La Loge is one of most celebrated masterpieces of The Courtauld collection and one of the most important works of the Impressionist movement. Renoir at the Theatre: Looking at 'La Loge', places this painting at the heart of the exhibition to explore the making and meanings of this extraordinary work.
Source: The Courtauld Gallery.

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.
 

 

Renoir: La loge (The Theater Box) and Golden Rectangles, HTML5 Animation for iPad and Nexus