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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. 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 ...

  4. File:Gold, silver, and bronze rectangles vertical.svg - Wikipedia

    en.wikipedia.org/wiki/File:Gold,_silver,_and...

    The following 17 pages use this file: Fibonacci sequence; Golden-section search; Golden angle; Golden ratio; Golden ratio base; Golden rectangle; Golden rhombus

  5. Golden spiral - Wikipedia

    en.wikipedia.org/wiki/Golden_spiral

    For example, a golden spiral can be approximated by first starting with a rectangle for which the ratio between its length and width is the golden ratio. This rectangle can then be partitioned into a square and a similar rectangle and this rectangle can then be split in the same way. After continuing this process for an arbitrary number of ...

  6. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.

  7. File:Golden Rectangle Construction.svg - Wikipedia

    en.wikipedia.org/wiki/File:Golden_Rectangle...

    The following other wikis use this file: Usage on ar.wikipedia.org 5 (عدد) نسبة ذهبية; مستطيل ذهبي; مثلث كبلر; Usage on bs.wikipedia.org

  8. File:Construction of Golden rectangle.svg - Wikipedia

    en.wikipedia.org/wiki/File:Construction_of...

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  9. File:SimilarGoldenRectangles.svg - Wikipedia

    en.wikipedia.org/wiki/File:SimilarGolden...

    English: A golden rectangle with longer side a and shorter side b, when placed adjacent to a square with sides of length a, will produce a similar golden rectangle with longer side a + b and shorter side a. This illustrates the relationship + = = = ,.