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# Rectangles

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Every shape and polygon is wrapped by a minimal area square, rectangle and circle.

Every shape and polygon wraps a maximal area square, rectangle and circle.

The ratio between outside and inside rectangle area, side lengths and their aspect ratios can tell us some thing about their regularity and symmetry!

For example we can view our land, state, country, water and island borders as such shapes or polygons to find the corresponding inside and outside rectangles.

Every shape has a corresponding square and circle with same area for better area comparison and illustration.

Every container has a corresponding cube and globe with equal volume for better volume comparison and illustration.

Every rectangle can be measured and described by two out of four measures:

• width
• heigt or length
• diagonal
• aspect ratio deutsch seiten verhältnis

Distances can be measured in number of relative pixels too, where the pixels them selves can be squares or rectangles, if rectangles they can be oriented horizontal or vertical.

The total rectangle size then calculates (side1 in pixels:side2 in pixels) x (resolution1 in pixels per measure:resolution2 in pixels per measure) = (side1/resolution1:side2/resolution2).

## Common Aspect Ratios or Fractions

1:1 = 1, square

DIN A

DIN B

DIN C

Letter format

0.980″ x 0.735″ = 1.33 ? 6:5 = 1.2 ?, Fox Movietone 35 mm format 1927

1.890″ x 0.913″ = 2.07, Fox Grandeur 70 mm film format 1929

5:4 = 1.25, early tv and computer monitor

4:3 = 1.~3, traditional tv and computer monitor

0.868″ × 0.631″ = 1.375 (commonly abbreviated to 1.37)= 11:8 = ?? Academy 35 mm standard film format 1932

48.5 mm × 22.1 mm = 1.91 in × 0.87 in, Todd AO 70 mm widescreen cinema format with image frames

69.6 mm × 48.5 mm= 2.74 in × 1.91 in, IMAX widescreen cinema format with image frames

3.543 inch : 3.543 inch = 1, Chronophotographe 90 mm format 1888

0.980″ x 0.735″ = 1.33, Lumière Brothers Cinematographe 35 mm format 1895

1.750″ x. 1.250″ = 1.40, Chronophotographe 60 mm format 1896

0.404″ x 0.295″ = 1.37, Eastman Kodak 16 mm format 1923

0.937″ x 0.735″ = 2.55, 20th Century Fox CinemaScope 35 mm film format 1953 to 1957

0.868″ x 0.735″ = 2.35, 20th Century Fox CinemaScope 35 mm film format 1957 to 1967

1.495″ x 0.991″ = 1.51, Paramount VistaVision 35 mm film format 1954

## Film Stock Formats

8 mm

16 mm

35 mm

65 mm

70 mm

### Film Speed

frames per second

### Film Transport

Direction: vertical or horizontal

Perforations or Sprockets: per film stock frame