The+Golden+Ratio+research

This science behind this exhibit also integrates several areas mathematics. Along with the physiological aspects of facial expression that Claire explained, we also thought the exhibit could explore the esthetic composition of the human face, particularly the influence of the golden ratio on the human face. For example, the program could have an option where it would modify the video footages to have the face agree with the golden ratio. Likewise, the implications of symmetry of faces and what humans perceive as beautiful could be explored. It seems to be popular belief to day that symmetry creates beauty, and the visitors can experiment for themselves and manipulate faces to decide for themselves what really makes a face beautiful and to identify how the symmetry or lack of symmetry in a face influences emotions. How does symmetry affect what we see and how we understand it? And this can be explored through the technology or in more of a informational manner.
 * FOR CLAIRE!!**

The Golden Ratio The golden ratio = divine proportion = golden mean = golden section - term "golden section" (in German, //goldener Schnitt// or //der goldene Schnitt//) seems to first have been used by Martin Ohm in the 1835 2nd edition of his textbook //Die Reine Elementar-Mathematik// - first known use of this term in English is in James Sulley's 1875 article on aesthetics in the 9th edition of the //Encyclopedia Britannica.// - found in the pyramids of Giza and the Parthenon at Athens
 * the golden ratio = 1.61803399**

Above from: Also explains math: []

there's also the reationship between pontin on mars.. just a thought - The dimensions of the D&M Pyramid are approximately 1 mile by 1.6 miles = very close to phi ([])

Take a face and see how 'golden' it is: []

Human beauty is based on the Divine Proportion (is it?) The blue line defines a perfect square of the pupils and outside corners of the mouth. The golden section of these four blue lines defines the nose, the tip of the nose, the inside of the nostrils, the two rises of the upper lip and the inner points of the ear. The blue line also defines the distance from the upper lip to the bottom of the chin. The yellow line, a golden section of the blue line, defines the width of the nose, the distance between the eyes and eye brows and the distance from the pupils to the tip of the nose. The green line, a golden section of the yellow line defines the width of the eye, the distance at the pupil from the eye lash to the eye brow and the distance between the nostrils. The magenta line, a golden section of the green line, defines the distance from the upper lip to the bottom of the nose and several dimensions of the eye. The ear reflects the shape of a Fibonacci spiral.
 * The Human Face**

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The Golden Proportion: []