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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. 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. Golden triangle (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Golden_triangle_(mathematics)

    A golden triangle. The ratio a/b is the golden ratio φ. The vertex angle is =.Base angles are 72° each. Golden gnomon, having side lengths 1, 1, and .. A golden triangle, also called a sublime triangle, [1] is an isosceles triangle in which the duplicated side is in the golden ratio to the base side:

  5. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US $1 million prize for the first correct solution to each problem.

  6. Golden spiral - Wikipedia

    en.wikipedia.org/wiki/Golden_spiral

    A golden spiral with initial radius 1 is the locus of points of polar coordinates (,) satisfying = /, where is the golden ratio. The polar equation for a golden spiral is the same as for other logarithmic spirals, but with a special value of the growth factor b: [10] = or = ⁡ (/), with e being the base of natural logarithms, a being the ...

  7. Search Suspended for Norwegian Cruise Line Passenger Who Went ...

    www.aol.com/search-suspended-norwegian-cruise...

    The 51-year-old man was with a "large" group of family members on the cruise through the Western Caribbean, Norwegian Cruise Line said in a statement

  8. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    Other theorems and methods have allowed paperfolders to get other shapes from a square, such as equilateral triangles, pentagons, hexagons, and special rectangles such as the golden rectangle and the silver rectangle. Methods for folding most regular polygons up to and including the regular 19-gon have been developed. [36]

  9. Joe Biden, Donald Trump and More Honor Jimmy Carter ... - AOL

    www.aol.com/lifestyle/joe-biden-donald-trump...

    Joe and Jill Biden. The Bidens began their official statement on Carter’s death, “Today, America and the world lost an extraordinary leader, statesman, and humanitarian.” “Over six decades ...