## But is it fools' gold?

The Golden Ratio or the Golden Mean is touted as universal principle of mathematics, aesthetics, and architecture. Its natural occurrences are often associated with beauty and health. But naysayers think the Golden Ratio is myth or even a scam. Golden ratio previously and previouslier.
posted by immlass on May 26, 2015 - 28 comments

## Look up to the sky and say it

There Will Be Numbers
posted by Potomac Avenue on Dec 3, 2013 - 12 comments

## The Art of π, φ and e

The Art of π, φ and e
posted by Blazecock Pileon on Jun 26, 2012 - 24 comments

## golden ratio in the amen break

The Amen Break and the Golden Ratio by mathematics educator and author, Michael S. Schneider. Schneider, having already researched and written about the golden ratio extensively, noticed it right away when hearing the the amen break for the first time (amen break previously on the blue). While some composers have been known to intentionally incorporate fibonacci numbers and the golden ratio into their works, perhaps this is just another one of the many instances of the ratio showing up in nature.
posted by p3t3 on Mar 12, 2008 - 27 comments

## Impossible Crystals

"This is a story of how the impossible became possible. How, for centuries, scientists were absolutely sure that solids (as well as decorative patterns like tiling and quilts) could only have certain symmetries - such as square, hexagonal and triangular - and that most symmetries, including five-fold symmetry in the plane and icosahedral symmetry in three dimensions (the symmetry of a soccer ball), were strictly forbidden. Then, about twenty years ago, a new kind of pattern, known as a "quasicrystal," was envisaged that shatters the symmetry restrictions and allows for an infinite number of new patterns and structures that had never been seen before, suggesting a whole new class of materials...."

Physicist Paul J. Steinhardt delivers a fascinating lecture (WMV) on tilings and quasicrystals. However, it turns out science was beaten to the punch: a recent paper (PDF) suggests Islamic architecture developed similar tilings centuries earlier.
posted by parudox on Mar 18, 2007 - 11 comments

## The so-called Golden Ratio

A good article on the so-called Golden Ratio.
posted by stbalbach on Jun 13, 2004 - 19 comments

## The golden section

The golden section (math, graphics) is an important relation used by artists and mathematicians, among others. I'm curious if any of you have good examples of recent use.
posted by lbergstr on Apr 15, 2002 - 45 comments

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