Golden rectangle
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Image:Golden rectangle detailed.png
A golden rectangle is a rectangle with dimensions which are of the golden ratio, 1 : φ (i.e., 1.6180339887498948...). It has been claimed to be the most aesthetically pleasing shape of a rectangle.
A distinctive feature of this shape is that when a square section is removed, the remainder is another golden rectangle with the same proportions as the first. That is, when a square, with one side being one of the lesser sides of the surrounding golden rectangle, is removed from the original rectangle, the smaller rectangle that remains has the same ratio with its new, shorter sides. This can be repeated infinitely, which leads to an approximation of the golden spiral.
The transformation looks like this:
| φ = 1 + x | |||||
|---|---|---|---|---|---|
| x = φ - 1 | |||||
| φ | 1 | x = 1 / φ | |||
| Image:Golden rectangle.png | 1 | Image:Golden rectangle 2.png | 1 | ||
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