Aspect ratio

The aspect ratio of a geometric shape is the ratio of its sizes in different dimensions. For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter side—the ratio of width to height, when the rectangle is oriented as a "landscape".

The aspect ratio is most often expressed as two integer numbers separated by a colon (x:y), less commonly as a simple or decimal fraction. The values x and y do not represent actual widths and heights but, rather, the proportion between width and height. As an example, 8:5, 16:10, 1.6:1,  and 1.6 are all ways of representing the same aspect ratio.

In objects of more than two dimensions, such as hyperrectangles, the aspect ratio can still be defined as the ratio of the longest side to the shortest side.

Applications and uses
The term is most commonly used with reference to:
 Graphic / image
 Image aspect ratio
 Display aspect ratio
 Paper size
 Standard photographic print sizes
 Motion picture film formats
 Standard ad size
 Pixel aspect ratio
 Photolithography: the aspect ratio of an etched, or deposited structure is the ratio of the height of its vertical side wall to its width.
 HARMST High Aspect Ratios allow the construction of tall microstructures without slant
 Tire code
 Tire sizing
 Turbocharger impeller sizing
 Wing aspect ratio of an aircraft or bird
 Astigmatism of an optical lens
 Nanorod dimensions
 Shape factor (image analysis and microscopy)
 Finite Element Analysis

Aspect ratios of simple shapes

Rectangles

For a rectangle, the aspect ratio denotes the ratio of the width to the height of the rectangle. A square has the smallest possible aspect ratio of 1:1.

Examples:
 4:3 = 1.: Some (not all) 20th century computer monitors (VGA, XGA, etc.), standard-definition television
 : international paper sizes (ISO 216)
 3:2 = 1.5: 35mm still camera film, iPhone (until iPhone 5) displays
 16:10 = 1.6: commonly used widescreen computer displays (WXGA)
 Φ:1 = 1.618...: golden ratio, close to 16:10
 5:3 = 1.: super 16 mm,  a standard film gauge in many European countries
 16:9 = 1.: widescreen TV and most laptops
 2:1 = 2: dominoes
 64:27 = 2.: ultra-widescreen, 21:9
 32:9 = 3.: super ultra-widescreen

Ellipses
For an ellipse, the aspect ratio denotes the ratio of the major axis to the minor axis. An ellipse with an aspect ratio of 1:1 is a circle.

Aspect ratios of general shapes
In geometry, there are several alternative definitions to aspect ratios of general compact sets in a d-dimensional space:
 The diameter-width aspect ratio (DWAR) of a compact set is the ratio of its diameter to its width. A circle has the minimal DWAR which is 1. A square has a DWAR of .
 The cube-volume aspect ratio (CVAR) of a compact set is the d-th root of the ratio of the d-volume of the smallest enclosing axes-parallel d-cube, to the set's own d-volume. A square has the minimal CVAR which is 1. A circle has a CVAR of . An axis-parallel rectangle of width W and height H, where W>H, has a CVAR of .

If the dimension d is fixed, then all reasonable definitions of aspect ratio are equivalent to within constant factors.

Notations
Aspect ratios are mathematically expressed as x:y (pronounced "x-to-y").

Cinematographic aspect ratios are usually denoted as a (rounded) decimal multiple of width vs unit height, while photographic and videographic aspect ratios are usually defined and denoted by whole number ratios of width to height. In digital images there is a subtle distinction between the display aspect ratio (the image as displayed) and the storage aspect ratio (the ratio of pixel dimensions); see Distinctions.

See also
 Axial ratio
 Ratio
 Equidimensional ratios in 3D
 List of film formats
 Squeeze mapping
 Scale (ratio)
 Vertical orientation

References

Ratios