repeated patterns

In this photo, the bird’s wing acts as a diffraction grating—a surface structure with a repeating pattern of ridges or slits. The structure causes the incoming light rays to spread out, bend and split into spectral colors, producing this shimmering rainbow effect. By Victor Tyakht

the whole “i used to be a teen who hated authority only to grow up to become the authority that hates teens” is a bad bad thing that practically every other generation has fallen into and we all need to make an extremely conscious effort not to repeat the fucking pattern

The Complex Geometry of Islamic Design

In Islamic culture, geometry is everywhere. You can find it in mosques, madrasas, palaces and private homes. This tradition began in the 8th century CE during the early history of Islam, when craftsman took preexisting motifs from Roman and Persian cultures and developed them into new forms of visual expression. 

This period of history was a golden age of Islamic culture, during which many achievements of previous civilizations were preserved and further developed, resulting in fundamental advancements in scientific study and mathematics. Accompanying this was an increasingly sophisticated use of abstraction and complex geometry in Islamic art, from intricate floral motifs adorning carpets and textiles, to patterns of tile work that seemed to repeat infinitely, inspiring wonder and contemplation of eternal order.

 Despite the remarkable complexity of these designs, they can be created with just a compass to draw circles and a ruler to make lines within them, and from these simple tools emerges a kaleidoscope multiplicity of patterns. So how does that work? Well, everything starts with a circle. The first major decision is how will you divide it up? Most patterns split the circle into four, five or six equal sections. And each division gives rise to distinctive patterns. 

There’s an easy way to determine whether any pattern is based on fourfold, fivefold, or sixfold symmetry. Most contain stars surrounded by petal shapes. Counting the number of rays on a starburst, or the number of petals around it, tells us what category the pattern falls into. A star with six rays, or surrounded by six petals, belongs in the sixfold category. One with eight petals is part of the fourfold category, and so on. 

There’s another secret ingredient in these designs: an underlying grid. Invisible, but essential to every pattern, the grid helps determine the scale of the composition before work begins, keeps the pattern accurate, and facilitates the invention of incredible new patterns. Let’s look at an example of how these elements come together. 

We’ll start with a circle within a square, and divide it into eight equal parts. We can then draw a pair of criss-crossing lines and overlay them with another two. These lines are called construction lines, and by choosing a set of their segments, we’ll form the basis of our repeating pattern. 

Many different designs are possible from the same construction lines just by picking different segments. And the full pattern finally emerges when we create a grid with many repetitions of this one tile in a process called tessellation.

By choosing a different set of construction lines, we might have created this any of the above patterns. The possibilities are virtually endless.  

We can follow the same steps to create sixfold patterns by drawing construction lines over a circle divided into six parts, and then tessellating it, we can make something like the above.

Here’s another sixfold pattern that has appeared across the centuries and all over the Islamic world, including Marrakesh, Agra, Konya and the Alhambra. 

Fourfold patterns fit in a square grid, and sixfold patterns in a hexagonal grid. 

Fivefold patterns, however, are more challenging to tessellate because pentagons don’t neatly fill a surface, so instead of just creating a pattern in a pentagon, other shapes have to be added to make something that is repeatable, resulting in patterns that may seem confoundingly complex, but are still relatively simple to create. 

This more than 1,000-year-old tradition has wielded basic geometry to produce works that are intricate, decorative and pleasing to the eye. And these craftsman prove just how much is possible with some artistic intuition, creativity, dedication along with a great compass and ruler.

Aries: Trust more in things you can’t understand. Sometimes the weirdest answer is the only answer left.

Taurus: Recognize old habits and old crimes. Don’t let patterns repeat when you deserve so much better then you deserve. 

Gemini: Stop complaining and start working. You can do anything you put your mind to, you just have to put your mind to it. You’ll lose the war if you don’t fight.

Cancer:  Stop. Just stop. Those vices have have no virtues. They don’t give you character their just killing you. Nothing else to say on the matter.

Leo: One step at a time. Because if you never start you’ll never get the chance to stop. It’s time to grow up and learn to care for yourself.

Virgo: These scars aren’t what made you. These wounds didn’t forge you. You are the hero of your own god damn story. So it’s time to stand up and fight.

Libra: Stop hanging out with people who don’t want to fix themselves. Doing drugs and drowning yourself in the bottle never fucking solved anything.

Scorpio:  Learn to keep your mouth shut for all that is good and holy. Some secrets weren’t meant to be shared and some scars weren’t meant to be shown.

Sagittarius: It’s okay to need love again. It’s okay to need someone in your life. Don’t be scared just to fall just because it hurt last time.

Capricorn:  One relapse doesn’t mean you don’t throw out your recovery. Learn to grab and hold on for deal life. Because you’ve got this.

Aquarius:Jumping off bridges for thrills never did anyone any good. Learn to be content with life as its stands instead of always needing drama.

Pisces: Looking back, learn to not regret. Learn to enjoy who you are and what made you, you. As hard as it was. As painful as it was. You’re you for it.

—  This Weeks Zodiac Post
nature.com
The quest to crystallize time
Bizarre forms of matter called time crystals were supposed to be physically impossible. Now they’re not.

Christopher Monroe spends his life poking at atoms with light. He arranges them into rings and chains and then massages them with lasers to explore their properties and make basic quantum computers. Last year, he decided to try something seemingly impossible: to create a time crystal.

The name sounds like a prop from Doctor Who, but it has roots in actual physics. Time crystals are hypothetical structures that pulse without requiring any energy — like a ticking clock that never needs winding. The pattern repeats in time in much the same way that the atoms of a crystal repeat in space. The idea was so challenging that when Nobel prizewinning physicist Frank Wilczek proposed the provocative concept1 in 2012, other researchers quickly proved there was no way to create time crystals.

But there was a loophole — and researchers in a separate branch of physics found a way to exploit the gap. Monroe, a physicist at the University of Maryland in College Park, and his team used chains of atoms they had constructed for other purposes to make a version of a time crystal2 (see ‘How to create a time crystal’). “I would say it sort of fell in our laps,” says Monroe.

And a group led by researchers at Harvard University in Cambridge, Massachusetts, independently fashioned time crystals out of 'dirty’ diamonds3. Both versions, which are published this week in Nature, are considered time crystals, but not how Wilczek originally imagined. “It’s less weird than the first idea, but it’s still fricking weird,” says Norman Yao, a physicist at the University of California, Berkeley, and an author on both papers.

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OK guys hear me out on this but- I think that the entire TAZ world, or at least the seven red-robes are running on a constant majoras mask/refuge year long loop that resets with the earth being devoured by The Hunger, and that there is a second voidfish that (up until now) kept this a secret

There will be a tl;dr at the end

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