The Greeks
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infinitely many - the golden ratio is an irrational number
2
No, A4 paper is not an example of the golden ratio. The golden ratio is a mathematical ratio of approximately 1.618:1, often found in art, architecture, and nature. A4 paper has dimensions of 210 mm × 297 mm, which do not align with the golden ratio. The aspect ratio of A4 paper is 1:√2, which is based on the ISO 216 standard for paper sizes.
The Golden Ratio In Paintings Piet Mondrian, Compositions in Red, Blue, and Yellow, 1930. Salvador Dali, The Sacrament of the Last Supper, 1955.
The Golden Rectangle is a geometrical figure whose side lengths are in the golden ratio. It can be made with only a compass and a straight edge.