the intersection between light and symmetry by michael, billy, danny and rosie

Introduction to Photography The camera is ideal for photography. Contains a light-tight box with a small hole at one end, the lens. Lens, often curved, refracts light to a reflective surface, which refracts image into light path

More on Cameras: Shutter Speed Camera shutter regulates amount of light allowed through lens Amount of light that passes through measured in fractions of 1 second 1/1000, 1/500, 1/250, 1/125, 1/60, 1/30, 1/15, 1/8, 1/4, ½, 1 From 1/1000 to 1, the time light passes through lens is geometrically increased by a ratio of 2 If you’re into photography, you understand geometric sequencing!

More on Cameras: Aperture, Focal Length, and f-Stop Aperture: the dynamic diameter of the lens The larger the diameter, the more light passes through to reflecting, light-tight surface Increased diameter increases reflective area of mirror inside light-tight box This is called light gathering power, using formula for area of circle (Area = Π x r2) 1:4 ratio between aperture and reflective area Double the diameter, quadruple the reflective area because we use square of the radius of the lens f-Stop is another way to control amount of light allowed into camera, which adjusts aperture in relation to shutter speed Large part of light gathering power is determined by focal length Focal length is the distance between the center of the lens and an internal reflective surface Changing focal length controls size of image formed in eyepiece The longer the focal length, the closer an image appears, allowing for lenses to zoom Common zoom ranges for 35mm cameras is 28mm to 80mm, 70mm to 210mm, 100mm to 300mm

Cameras: Wrap-up Larger aperture = more light a camera sees; slower shutter speed = camera lets in light for more time; larger focal length = larger image Optimum exposure for a given aperture or f-Stop deciphered by dividing focal length by f-Stop or aperture, respectively; not too dark or too bright

M.C. Escher: Artist and Mathematician Born 1898 in Leeuwarden, Netherlands Died 1972

Escher: The Early Years Secondary school: Linocuts, woodblock

Escher: The Early Years School for Architecture & Decorative Arts (Haarlem, Netherlands) Enters Architecture program, leaves with Graphic Arts degree Moves to Rome -- Continues sketches and woodblock prints Marries Jetta Umiker

Escher: Encounters Tessellation Visits Alhambra (14th C. castle in Granada, Spain) Islamic tessellated decorations Fascinated -- incorporates into own work

Escher: Impossible Constructions // Legacy Incorporate 3D & 2D Light // Perspective Symmetry

Fibonacci sequence and the Golden Ratio in Filmography Considered a more natural frame than “Rule of Thirds” Underlying principle that creates depth and draws focus to the subject of the shot Fibonacci sequence is a sequence in the next number is the sum of the two previous numbers eg. 0,1,1,2,3,5,8,21,34 Sequence approaches ratio of 1:1.618 giving us the golden ratio

Depth and Proportion Lack of perfect symmetry creates depth Ratio of 1:1.618 offsets certain features of main subject while maintaining balance

There Will be Blood (2007), Directed by Paul Thomas Anderson

Iron Man (2008), Directed by Jon Favreau

Othello-Triangles, Line of Sight, and Power

Dead Man’s Cell Phone-Forced Perspective