Paolo Uccello: "The Battle of San Romano" c.14351460, Uffizi Gallery and
Golden Rectangles. Animation for iPad.
Successive Golden Rectangles dividing a
Golden Rectangle into squares
(logarithmic spiral known as the golden
spiral)
The Battle of San Romano
(c. 1435  1460), Galleria degli
Uffizi, Florence
The Battle of San Romano is a set of
three paintings by the Florentine
painter Paolo Uccello depicting events
that took place at the Battle of San
Romano between Florentine and Sienese
forces in 1432. They are significant as
revealing the development of linear
perspective in early Italian Renaissance
painting, and are unusual as a major
secular commission.
Source:
Wikipedia: The Battle of San Romano.
Paolo Uccello
Paolo Uccello (1397
 1475) was an
Italian painter and a mathematician who
was notable for his pioneering work on
visual perspective in art.
Read more.
Golden rectangle
A
golden rectangle is a rectangle whose
side lengths are in the golden ratio,
onetophi, 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 selfreferential
system of instancing which is the
cornerstone of fractal geometry. Source:
Wikipedia, Droste Effect.
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 by Antonio Gutierrez
Aug 7, 2014
