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  2. Golden rectangle - Wikipedia

    en.wikipedia.org/wiki/Golden_rectangle

    In geometry, a golden rectangle is a rectangle with side lengths in golden ratio +:, or ⁠:, ⁠ with ⁠ ⁠ approximately equal to 1.618 or 89/55. Golden rectangles exhibit a special form of self-similarity : if a square is added to the long side, or removed from the short side, the result is a golden rectangle as well.

  3. Donald in Mathmagic Land - Wikipedia

    en.wikipedia.org/wiki/Donald_in_Mathmagic_Land

    According to the Spirit, the golden rectangle has influenced both ancient and modern cultures in many ways. Donald then learns how the golden rectangle appears in many ancient buildings, such as the Parthenon and the Notre Dame cathedral. Paintings such as the Mona Lisa and various sculptures such as the Venus de Milo contain several golden ...

  4. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    A golden rectangle—that is, a rectangle with an aspect ratio of ⁠ ⁠ —may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural objects and artificial systems such as financial markets , in some cases based on dubious fits to data. [ 8 ]

  5. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The apparent paradox is explained by the fact that the side of the new large square is a little smaller than the original one. If θ is the angle between two opposing sides in each quadrilateral, then the ratio of the two areas is given by sec 2 θ. For θ = 5°, this is approximately 1.00765, which corresponds to a difference of about 0.8%.

  6. Dynamic rectangle - Wikipedia

    en.wikipedia.org/wiki/Dynamic_rectangle

    The root-3 rectangle is also called sixton, [6] and its short and longer sides are proportionally equivalent to the side and diameter of a hexagon. [7] Since 2 is the square root of 4, the root-4 rectangle has a proportion 1:2, which means that it is equivalent to two squares side-by-side. [7] The root-5 rectangle is related to the golden ratio ...

  7. Quizlet - Wikipedia

    en.wikipedia.org/wiki/Quizlet

    Quizlet is a multi-national American company that provides tools for studying and learning. [1] Quizlet was founded in October 2005 by Andrew Sutherland, who at the time was a 15-year old student, [ 2 ] and released to the public in January 2007. [ 3 ]

  8. Talk:Golden rectangle - Wikipedia

    en.wikipedia.org/wiki/Talk:Golden_rectangle

    The technique of drawing a golden rectangle shown in the article is great however can anyone explain the geometrical proof of this technique is correct. —Preceding unsigned comment added by 219.89.25.86 (talk • contribs) 10:15, 12 April 2010. The radius of the circle is the hypotenuse of a right angled triangle with sides 1 and ½ units.

  9. Supergolden ratio - Wikipedia

    en.wikipedia.org/wiki/Supergolden_ratio

    In mathematics, the supergolden ratio is a geometrical proportion close to 85/58. Its true value is the real solution of the equation x 3 = x 2 + 1. The name supergolden ratio results from analogy with the golden ratio, the positive solution of the equation x 2 = x + 1. A triangle with side lengths ψ, 1, and 1 ∕ ψ has an angle of exactly ...

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