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  2. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The golden ratio φ and its negative reciprocal −φ −1 are the two roots of the quadratic polynomial x 2 − x − 1. The golden ratio's negative −φ and reciprocal φ −1 are the two roots of the quadratic polynomial x 2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer.

  3. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

  4. 16:10 aspect ratio - Wikipedia

    en.wikipedia.org/wiki/16:10_aspect_ratio

    An LG 19-inch LCD monitor with an aspect ratio of 16:10. 16:10 (1.6:1), also known as the equivalent 8:5, is an aspect ratio commonly used for computer displays and tablet computers. It is equal to 8/5, close to the golden ratio (), which is approximately 1.618. Video editing applications are commonly designed to allow editing of 16:9 content ...

  5. Aspect ratio - Wikipedia

    en.wikipedia.org/wiki/Aspect_ratio

    As an example, 8:5, 16:10, 1.6:1, 8 ⁄ 5 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.

  6. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Since the conversion factor 1.609344 for miles to kilometers is close to the golden ratio, the decomposition of distance in miles into a sum of Fibonacci numbers becomes nearly the kilometer sum when the Fibonacci numbers are replaced by their successors. This method amounts to a radix 2 number register in golden ratio base φ being shifted. To ...

  7. Pentagram - Wikipedia

    en.wikipedia.org/wiki/Pentagram

    A regular pentagram colored to distinguish its line segments of different lengths. The four lengths are in golden ratio to one another. The golden ratio, φ = (1 + √ 5) / 2 ≈ 1.618, satisfying: = + ⁡ (/) = + ⁡

  8. Aspect ratio (image) - Wikipedia

    en.wikipedia.org/wiki/Aspect_ratio_(image)

    4:3 (1.33:1) (generally read as Four-Three, Four-by-Three, or Four-to-Three) for standard television for fullscreen aspect ratio 1.33:1 has been in use since the invention of moving picture cameras, and many computer monitors used to employ the same aspect ratio. 4:3 was the aspect ratio used for 35 mm films in the silent era.

  9. f-number - Wikipedia

    en.wikipedia.org/wiki/F-number

    In the following quote, an "apertal ratio" of "1 ⁄ 24" is calculated as the ratio of 6 inches (150 mm) to 1 ⁄ 4 inch (6.4 mm), corresponding to an f /24 f-stop: In every lens there is, corresponding to a given apertal ratio (that is, the ratio of the diameter of the stop to the focal length), a certain distance of a near object from it ...