Pleasing patterns in 'Geek Tree Dee'

Via Myoshka. This is a lovely collection. Read the rest

Watch these cool shifting patterns, explained in detail by the creator

This short animated confection exploring patterns is a charming diversion, but the director's notes are a fascinating glimpse into all the work it took: Read the rest

Intricate mandalas created by Volt Agapeyev

"Nature is transgression's church," says Vitaliy Volt" Agapeyev, who combines geometric forms with intricate patterns found in nature. Read the rest

How to draw Islamic geometric patterns

Over at the Root Simple website, Mr. Homegrown wrote about the fun he's been having learning how to draw Islamic geometric patterns from this book by Eric Broug.

It’s a book of step by step drawing instructions. All you need is a ruler, compass, pencil and pen. While the geometry behind theses patterns is enormously sophisticated, actually drawing out the shapes is surprisingly easy and relaxing. It’s also a fun and painless lesson in geometry, especially for those of us not inclined towards math..

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Patterns in Nature – The most magnificent designs come from math and nature, not human beings

See sample pages from this book at Wink.

Step outside, look in any direction, and you’re sure to spot some exquisite designs in nature: the vivid jewel-like symmetry found on the wings of a butterfly, the fractal branching of trees, the pointillist patterns sported by a snake, or the hexagonal nest of a wasp, just to name a few. And science writer Philip Ball has captured some of this beauty with over 300 stunning photographs that he includes in his latest book, Patterns in Nature.

Categorized in chapters such as Symmetry, Fractals, Spirals, Cracks, and Flow and Chaos, Ball explains with both images and an accessible narrative how the most magnificent designs on the planet come from math, physics and chemistry, not human beings. He describes the various mathematics that create various patterns, and also points out parallels between similar patterns with seemingly unrelated sources. For example, the spots on a butterfly mimic the face of an owl. The “spots” on a giraffe look similar to cracked mud. Ball turns complex science into a fascinating read, and his gorgeous coffee table book is perfect for both the science and art minded alike.

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Looking for mathematical perfection in all the wrong places

The Golden Ratio — that geometric expression of the Fibonacci sequence of numbers (1, 1, 2, 3, 5, etc.) — has influenced the way master painters created art and can be spotted occurring naturally in the seed arrangement on the face of a sunflower. But its serendipitous appearances aren't nearly as frequent as pop culture would have you believe, writes Samuel Arbesman at The Nautilus. In fact, one of the most common examples of mathematical perfection — the chambered nautilus shell — actually isn't. Even math can become part of the myths we tell ourselves as we try to create meaning in the universe.

Image: Golden Ratio, a Creative Commons Attribution (2.0) image from ernestduffoo's photostream Read the rest