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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. Aspect ratio (image) - Wikipedia

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

    Sometimes this ratio is rounded to 1.67:1. From the late 1980s to the early 2000s, Walt Disney Feature Animation's CAPS program animated their features in the 1. 6:1 ratio (a compromise between the 1.85:1 theatrical ratio and the 1.33:1 ratio used for home video); this format is also used by the Nintendo 3DS's top screen. 1.75:1 = 7:4

  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. 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 ...

  6. 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.

  7. Optimum HDTV viewing distance - Wikipedia

    en.wikipedia.org/wiki/Optimum_HDTV_viewing_distance

    Find the optimal distance for a given screen. Example: for a 4K UHD screen 140 cm high (112 inches diagonal), the optimal distance is 140 × 1.6 = 224 cm. Find the right screen size. Example: for a 1080 HDTV used at a distance of 250 cm, you need to find a screen whose height is close to ⁠ 250 / 3.2 ⁠ = 78 cm (63 inches diagonally).

  8. Mathematics and art - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_art

    For example, the height and width of the front of Notre-Dame of Laon have the ratio 8/5 or 1.6, not 1.618. Such Fibonacci ratios quickly become hard to distinguish from the golden ratio. [54] After Pacioli, the golden ratio is more definitely discernible in artworks including Leonardo's Mona Lisa. [55]

  9. Display aspect ratio - Wikipedia

    en.wikipedia.org/wiki/Display_aspect_ratio

    This aspect ratio was chosen as the geometric mean between 4:3 and 2.35:1, an average of the various aspect ratios used in film. [3] While 16:9 is well-suited for modern HDTV broadcasts , older 4:3 video has to be either padded with bars on the left and right side (pillarboxed), cropped or stretched, while movies shot with wider aspect ratios ...