A Golden Rectangle is a rectangle whose sides are in the golden ratio:

• $\small(1+\sqrt{5})/2$
That means that if you chop off the largest square possible, the remaining rectangle is also golden. The Golden Ratio is found all over the pentagon, so perhaps it's no surprise that the Golden Rectangle can be found in the dodecahedron.

Compare with A4 paper.

See also: Paper dodecahedron.

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