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  2. Golden rectangle - Wikipedia

    en.wikipedia.org/wiki/Golden_rectangle

    Owing to the Pythagorean theorem, the diagonal dividing one half of a square equals the radius of a circle whose outermost point is the corner of a golden rectangle added to the square. [1] Thus, a golden rectangle can be constructed with only a straightedge and compass in four steps: Draw a square; Draw a line from the midpoint of one side of ...

  3. 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 ]

  4. 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 ...

  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. File:Construction of Golden rectangle.svg - Wikipedia

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

    Construction of a golden rectangle Construct a simple square; Draw a line from the midpoint of one side of the square to an opposite corner; Use that line as the radius to draw an arc that defines the height of the rectangle; Use the endpoints of the arc to complete the rectangle; The proportions of the resulting rectangle is φ or

  7. Report: New York population could shrink by millions in ...

    www.aol.com/news/report-york-population-could...

    (The Center Square) — New York's population could decline by more than 2 million people over the next 25 years as fewer people are born in the state and more people move out, according to a new ...

  8. List of works designed with the golden ratio - Wikipedia

    en.wikipedia.org/wiki/List_of_works_designed...

    The Sacrament of the Last Supper (1955): The canvas of this surrealist masterpiece by Salvador Dalí is a golden rectangle. A huge dodecahedron, with edges in golden ratio to one another, is suspended above and behind Jesus and dominates the composition. [11] [40]

  9. What is Rob Manfred's 'golden at-bat' idea, and how would it ...

    www.aol.com/sports/rob-manfreds-golden-bat-idea...

    The idea is simple. Once a game, a manager gets to put his best batter at the plate regardless of where the batting order stands. So imagine, as a pitcher facing the Dodgers, you get Shohei Ohtani ...