"Woman with a Fan" by Jean Metzinger
Jean Metzinger, 1912-13, Femme à l'Éventail (Woman with a Fan), oil on canvas, 90.7 x 64.2 cm, Solomon R. Guggenheim Museum, New York. Published in Les Peintres Cubistes, by Guillaume Apollinaire, 1913
Jean Metzinger
Jean Metzinger (1883 - 1956) was a French painter, theorist, writer, critic and poet, born in Nantes, France. His earliest works, from 1900 to 1904, appear to have been influenced by the Neo-Impressionism of Georges Seurat and Henri Edmond Cross. Between 1904 and 1907 Metzinger worked in the Divisionist and Fauvism styles. From 1908 he was directly involved with Cubism, both as an artist and principle theorist of the movement.
Jean Metzinger and Albert Gleizes wrote with reference to non-Euclidean geometry in their 1912 manifesto, Du "Cubisme". It was argued that Cubism itself was not based on any geometrical theory, but that non-Euclidean geometry corresponded better than classical, or Euclidean geometry, to what the
Cubists were doing. The essential was in the understanding of space other than by the classical method of perspective; an understanding that would include and integrate the fourth dimension with 3-space.
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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.
