A/B=(A+B)/A
This amazing number was known to Euclid and its properties have been studied through the ages, even to the present day. Now known as F (phi), it equals the sum of one plus its own reciprocal, or its own square minus one, but it approximates 1.61803... . At least one book has been written about it, and it has been said (probably wrongly) to have dictated the proportions of the Parthenon.
Here we offer products showing two of its best-known manifestations, the "whirling squares" and "whirling triangles", with an Archimedean spiral - the curve of every spiral shell - drawn on each, in gold, of course. (You may also be interested in the Nautilus shell and its X-ray in the Nature section.)
Golden Section - squares The Golden Ratio, phi, 1.61803... used to derive rectangles and the spiral of the nautilus shell |
Golden Section - triangles The Golden Ratio, phi, 1.61803... expressed as the ratio of the side to the diagonal of a pentagon, used to generate "whirling triangles" and hence an Archimedean spiral |
 $16.00 |
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 $16.00 |
 $16.00 |
