HOME | DD

Description
This description is taken from my Cristina vs. Fibonacci journal, posted on Feb. 20, 2008.

I recently uploaded On Stage - 14 , a portrait of italian pop singer and songwriter Cristina Donà playing in concert. This photograph comes from a seven or eight shot fast series i took while she was jumping and shaking her head, under continuously changing lights.

The main feature of On Stage - 14 is maybe the intensity of Cristina's expression, and the live concert feeling coming from it. The image per se is far from being technically perfect, or even good, and I would say that it appears to break every composition rule. However, since the first glance after I downloaded it from my camera to my pc, I felt there is something in its proportions and shapes that captures the eye.

Now, my dear friend and DA fellow =art176 caught the point: the outline of Cristina's pose roughly matches the shape of Fibonacci spiral .

A Fibonacci spiral is the shape that results by joining the quarter-circles whose rays are the sides of a set of squares disposed so that they compose a rectangle, where the ratio between the side of any square and the immediately greater square equals the changing ratio between two consecutive terms in the Fibonacci sequence.

The Fibonacci Spiral approximates the Golden spiral, where the ratio between the side of the squares is constant and equates the Golden ratio. As the Wikipedia states, "in mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller".

The Fibonacci sequence is a series of numbers where, after two starting values, each number is the sum of the two preceding numbers. Several biological settings appear to be related to the Fibonacci Sequence: branching in trees, pineapple fruits and florets spirals of sunflowers, for example. Our brain seems to be able to recognize Fibonacci sequences in music: octaves on a piano keyboard have eight white keys, and five black keys, which gives thirteen notes.

So, it looks like -absolutely by chance- On Stage - 14 follows a mathematical pattern which our brain and eyes catch almost istinctively, and this could be an explanation for that feeling I got when looking at the image the first time. Amazing!

This is a smaller version of On Stage - 14 , with a drawing of the Fibonacci spiral.

A huge THANK YOU to =art176 for exercising his great serendipty on my picture.

Description
This description is taken from my Cristina vs. Fibonacci journal, posted on Feb. 20, 2008.

I recently uploaded On Stage - 14 , a portrait of italian pop singer and songwriter Cristina Donà playing in concert. This photograph comes from a seven or eight shot fast series i took while she was jumping and shaking her head, under continuously changing lights.

The main feature of On Stage - 14 is maybe the intensity of Cristina's expression, and the live concert feeling coming from it. The image per se is far from being technically perfect, or even good, and I would say that it appears to break every composition rule. However, since the first glance after I downloaded it from my camera to my pc, I felt there is something in its proportions and shapes that captures the eye.

Now, my dear friend and DA fellow =art176 caught the point: the outline of Cristina's pose roughly matches the shape of Fibonacci spiral .

A Fibonacci spiral is the shape that results by joining the quarter-circles whose rays are the sides of a set of squares disposed so that they compose a rectangle, where the ratio between the side of any square and the immediately greater square equals the changing ratio between two consecutive terms in the Fibonacci sequence.

The Fibonacci Spiral approximates the Golden spiral, where the ratio between the side of the squares is constant and equates the Golden ratio. As the Wikipedia states, "in mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller".

The Fibonacci sequence is a series of numbers where, after two starting values, each number is the sum of the two preceding numbers. Several biological settings appear to be related to the Fibonacci Sequence: branching in trees, pineapple fruits and florets spirals of sunflowers, for example. Our brain seems to be able to recognize Fibonacci sequences in music: octaves on a piano keyboard have eight white keys, and five black keys, which gives thirteen notes.

So, it looks like -absolutely by chance- On Stage - 14 follows a mathematical pattern which our brain and eyes catch almost istinctively, and this could be an explanation for that feeling I got when looking at the image the first time. Amazing!

This is a smaller version of On Stage - 14 , with a drawing of the Fibonacci spiral.

A huge THANK YOU to =art176 for exercising his great serendipty on my picture.