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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.
Art historian Daniel Robbins argued that in addition to referencing the mathematical golden section, the term associated with the Salon Cubists also refers to the name of the earlier Bandeaux d'Or group, with which Albert Gleizes and other former members of the Abbaye de Créteil had been deeply involved.
Advanced Placement (AP) Human Geography (also known as AP Human Geo, AP Geography, APHG, AP HuGe, APHug, AP Human, HuGS, AP HuGo, or HGAP) is an Advanced Placement social studies course in human geography for high school, usually freshmen students in the US, culminating in an exam administered by the College Board. [1]
Hambidge distinguishes these from rectangles with rational proportions, which he terms static rectangles. [3] According to him, root-2, 3, 4 and 5 rectangles are often found in Gothic and Classical Greek and Roman art, objects and architecture, while rectangles with aspect ratios greater than root-5 are seldom found in human designs. [4]
Many works of art are claimed to have been designed using the golden ratio. However, many of these claims are disputed, or refuted by measurement. [1] The golden ratio, an irrational number, is approximately 1.618; it is often denoted by the Greek letter φ .
The golden angle is the angle subtended by the smaller (red) arc when two arcs that make up a circle are in the golden ratio. In geometry, the golden angle is the smaller of the two angles created by sectioning the circumference of a circle according to the golden ratio; that is, into two arcs such that the ratio of the length of the smaller arc to the length of the larger arc is the same as ...
Stacking golden rectangles produces golden rectangles anew, and removing or adding squares from golden rectangles leaves rectangles still proportioned in ratio. They can be generated by golden spirals , through successive Fibonacci and Lucas number-sized squares and quarter circles.
AP 3-D Art and Design is a three-dimensional (3-D) art course that holds many similarities to the 2-D course. The course deals with 3-D artistic applications such as metalworking, sculpture, computer models, and ceramics. Like AP Studio Art 2D, the focus is on the design of the artwork itself as opposed to its composition.