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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.
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 ]
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]
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
A root-5 rectangle is particularly notable in that it can be split into a square and two equal golden rectangles (of dimensions Φ × 1), or into two golden rectangles of different sizes (of dimensions Φ × 1 and 1 × φ). [9]
3. Unfold the pastry sheet on a lightly floured surface. Roll the pastry sheet into a 15x12-inch rectangle. Cut into 20 (3-inch) squares. Press the squares into 20 (1 1/2-inch) mini muffin-pan cups. Place about 1 tablespoon filling into each pastry cup. 4. Bake for 15 minutes or until the pastries are golden brown.
The rectangle below the diagonal has aspect ratio , the other three are all supergolden rectangles, with a fourth one between the feet of the altitudes. The parent rectangle and the four scaled copies have linear sizes in the ratios ψ 3 : ψ 2 : ψ : ψ 2 − 1 : 1. {\displaystyle \psi ^{3}:\psi ^{2}:\psi :\psi ^{2}-1:1.}
Corn and Black Bean Salsa. Crispy, golden corn, black beans, tomato, red onion, jalapeño, and garlic make up this easy salsa that pairs perfectly with crunchy tortilla chips.