Successive Golden Rectangles dividing a Golden
Rectangle into squares (logarithmic spiral known as the golden spiral)
The Base of the Statue of Liberty
Fort Wood's star-shaped walls became the base of the Statue of Liberty. In geometry, a hendecagram is a star polygon that has eleven vertices.
"The Statue of Liberty is a colossal neoclassical sculpture on Liberty Island in New York Harbor in New York City, in the United States. The copper statue, designed by Frederic Auguste Bartholdi, a French sculptor, was built by Gustave Eiffel and dedicated on October 28, 1886. It was a gift to the United States from the people of France."
Wikipedia, Statue of Liberty.
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.
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.