Researchers are beginning to understand why some plants have beautiful repeating spiral patterns to their structures that incorporate the so-called golden angle (approx 137.5 degrees). Math buffs, artists, and mystics will appreciate that the golden angle is related to the golden ratio, also known as the "divine proportion," that frequently appears in aesthetically-pleasing forms. From Science News (photo by Scott Hotton)
Plants with spiral patterns related to the golden angle also display another curious mathematical property. The seeds of a flower head form interlocking spirals in both clockwise and counterclockwise directions. The number of clockwise spirals differs from the number of counterclockwise spirals, and these two numbers are called the plant's parastichy numbers (pronounced pi-RAS-tik-ee or PEHR-us-tik-ee).
These numbers have a remarkable consistency. They are almost always two consecutive Fibonacci numbers, which are another one of nature's mathematical favorites. The Fibonacci numbers form the sequence 1, 1, 2, 3, 5, 8, 13, 21 . . . , in which each number is the sum of the previous two...
Initially, researchers thought these patterns might provide an evolutionary advantage by somehow promoting plants' survival. But more recently, they have come to believe that the answer lies in the biochemistry of plants as they develop new leaves, flowers, or other structures.
It’s the end of an era, sort of: Fraunhofer IIS, the developers of the MP3 audio compression format, announced that they are ceasing their licensing program. In a blog post, spokesman Matthias Rose says that it’s had a good 20-year run and is obsolete. But it’s also true that the decoding patents expired last year, […]
Freddy deBoer writes that he’s been telling the same joke for years about Silicon Valley’s only product, which might be universalized as “At last, a way to verb with nouns on the internet!” But the social-media techopoly is stable, now, and so the venture capitalists have moved on to the three terrible trends that will […]
Alex Wood is an addict but won’t give up his smartphone. But he has five strategies for limiting its control over him: “I used to wake up tired. My body would ache and my head felt sore, like waking up with a hangover. Finally, I took control, like attending an AA class for addicts, I […]
While some people still maintain that everything in Apple’s walled garden “just works” and is immune to the rampant malware of the Windows world, the reality is different. The Mac’s growing market share has made it a much more viable target for malicious actors, and its built-in tools aren’t always enough to fix things. Drive […]
Boasting an IPX6 waterproof rating, the Trakk Bullet Ultra Compact Waterproof Bluetooth Speaker resists dust and heavy rainfall. It’s currently available in the Boing Boing Store.The Trakk Bullet offers the same wireless convenience as other portable speakers, but few are built as tough as this one. Its utilitarian construction is designed to be a totally low-maintenance […]
The Ticwatch 2 Active Smartwatch is a simpler take on an active wearable that raised over $2m dollars on Kickstarter and is currently offered in the Boing Boing Store.Somewhere in between the single-day battery life and platform-specificity of the Apple Watch and Android Wear devices, there exists the Ticwatch. Instead of trying to shoehorn another […]