Uffizi Gallery, Florence, Op Art, Geometry Online Education

Renoir: Luncheon of the Boating Party (1881) - Tile 2 and Golden Rectangles, Droste Effect, HTML5 Animation for iPad and Tablets

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


Renoir: Luncheon of the Boating Party (1881). Tile: Ellen Andrée drinking in the center.

Artist: Pierre-Auguste Renoir French, 1841 - 1919
Dimensions: 129.9 cm × 172.7 cm (51 in × 68 in)
Medium: Oil on canvas
Location: The Phillips Collection, Washington, DC
Style: Impressionism.
This is a painting by French impressionist Pierre-Auguste Renoir. It was purchased from the artist by the dealer-patron Paul Durand-Ruel and bought in 1923 (for $125,000) from his son by Duncan Phillips. It is currently housed in The Phillips Collection in Washington, D.C. It shows a richness of form, a fluidity of brush stroke, and a flickering light. Source: Wikipedia: Luncheon of the Boating Party

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: Luncheon of the Boating Party (1881), Andrée drinking in the center. - Tile 2 and Golden Rectangles, HTML5 Animation for iPad and Nexus